An Improved FPT Algorithm for Independent Feedback Vertex Set

Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size a...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Li, Shaohua [verfasserIn] Pilipczuk, Marcin [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	Independent feedback vertex set Parameterized algorithms Branching

Übergeordnetes Werk:	Enthalten in: Theory of computing systems - New York, NY : Springer, 1997, 64(2020), 8 vom: 25. Apr., Seite 1317-1330
Übergeordnetes Werk:	volume:64 ; year:2020 ; number:8 ; day:25 ; month:04 ; pages:1317-1330

Links:	Volltext

DOI / URN:	10.1007/s00224-020-09973-w

Katalog-ID:	SPR04230606X

Internformat


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520			\|a Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm.
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912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
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912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
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912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_267
912			\|a GBV_ILN_281
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912			\|a GBV_ILN_2003
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912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
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912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
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912			\|a GBV_ILN_2027
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912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
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912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
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author_variant	s l sl m p mp
matchkey_str	article:14330490:2020----::nmrvdpagrtmoidpnete
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bklnumber	31.00 54.10 85.00 83.00 54.00
publishDate	2020
allfields	10.1007/s00224-020-09973-w doi (DE-627)SPR04230606X (DE-599)SPRs00224-020-09973-w-e (SPR)s00224-020-09973-w-e DE-627 ger DE-627 rakwb eng 004 ASE 510 000 ASE 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 bkl Li, Shaohua verfasserin aut An Improved FPT Algorithm for Independent Feedback Vertex Set 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm. Independent feedback vertex set (dpeaa)DE-He213 Parameterized algorithms (dpeaa)DE-He213 Branching (dpeaa)DE-He213 Pilipczuk, Marcin verfasserin aut Enthalten in Theory of computing systems New York, NY : Springer, 1997 64(2020), 8 vom: 25. Apr., Seite 1317-1330 (DE-627)254909728 (DE-600)1463181-7 1433-0490 nnns volume:64 year:2020 number:8 day:25 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s00224-020-09973-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 54.10 ASE 85.00 ASE 83.00 ASE 54.00 ASE AR 64 2020 8 25 04 1317-1330
spelling	10.1007/s00224-020-09973-w doi (DE-627)SPR04230606X (DE-599)SPRs00224-020-09973-w-e (SPR)s00224-020-09973-w-e DE-627 ger DE-627 rakwb eng 004 ASE 510 000 ASE 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 bkl Li, Shaohua verfasserin aut An Improved FPT Algorithm for Independent Feedback Vertex Set 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm. Independent feedback vertex set (dpeaa)DE-He213 Parameterized algorithms (dpeaa)DE-He213 Branching (dpeaa)DE-He213 Pilipczuk, Marcin verfasserin aut Enthalten in Theory of computing systems New York, NY : Springer, 1997 64(2020), 8 vom: 25. Apr., Seite 1317-1330 (DE-627)254909728 (DE-600)1463181-7 1433-0490 nnns volume:64 year:2020 number:8 day:25 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s00224-020-09973-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 54.10 ASE 85.00 ASE 83.00 ASE 54.00 ASE AR 64 2020 8 25 04 1317-1330
allfields_unstemmed	10.1007/s00224-020-09973-w doi (DE-627)SPR04230606X (DE-599)SPRs00224-020-09973-w-e (SPR)s00224-020-09973-w-e DE-627 ger DE-627 rakwb eng 004 ASE 510 000 ASE 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 bkl Li, Shaohua verfasserin aut An Improved FPT Algorithm for Independent Feedback Vertex Set 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm. Independent feedback vertex set (dpeaa)DE-He213 Parameterized algorithms (dpeaa)DE-He213 Branching (dpeaa)DE-He213 Pilipczuk, Marcin verfasserin aut Enthalten in Theory of computing systems New York, NY : Springer, 1997 64(2020), 8 vom: 25. Apr., Seite 1317-1330 (DE-627)254909728 (DE-600)1463181-7 1433-0490 nnns volume:64 year:2020 number:8 day:25 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s00224-020-09973-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 54.10 ASE 85.00 ASE 83.00 ASE 54.00 ASE AR 64 2020 8 25 04 1317-1330
allfieldsGer	10.1007/s00224-020-09973-w doi (DE-627)SPR04230606X (DE-599)SPRs00224-020-09973-w-e (SPR)s00224-020-09973-w-e DE-627 ger DE-627 rakwb eng 004 ASE 510 000 ASE 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 bkl Li, Shaohua verfasserin aut An Improved FPT Algorithm for Independent Feedback Vertex Set 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm. Independent feedback vertex set (dpeaa)DE-He213 Parameterized algorithms (dpeaa)DE-He213 Branching (dpeaa)DE-He213 Pilipczuk, Marcin verfasserin aut Enthalten in Theory of computing systems New York, NY : Springer, 1997 64(2020), 8 vom: 25. Apr., Seite 1317-1330 (DE-627)254909728 (DE-600)1463181-7 1433-0490 nnns volume:64 year:2020 number:8 day:25 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s00224-020-09973-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 54.10 ASE 85.00 ASE 83.00 ASE 54.00 ASE AR 64 2020 8 25 04 1317-1330
allfieldsSound	10.1007/s00224-020-09973-w doi (DE-627)SPR04230606X (DE-599)SPRs00224-020-09973-w-e (SPR)s00224-020-09973-w-e DE-627 ger DE-627 rakwb eng 004 ASE 510 000 ASE 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 bkl Li, Shaohua verfasserin aut An Improved FPT Algorithm for Independent Feedback Vertex Set 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm. Independent feedback vertex set (dpeaa)DE-He213 Parameterized algorithms (dpeaa)DE-He213 Branching (dpeaa)DE-He213 Pilipczuk, Marcin verfasserin aut Enthalten in Theory of computing systems New York, NY : Springer, 1997 64(2020), 8 vom: 25. Apr., Seite 1317-1330 (DE-627)254909728 (DE-600)1463181-7 1433-0490 nnns volume:64 year:2020 number:8 day:25 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s00224-020-09973-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE 54.10 ASE 85.00 ASE 83.00 ASE 54.00 ASE AR 64 2020 8 25 04 1317-1330
language	English
source	Enthalten in Theory of computing systems 64(2020), 8 vom: 25. Apr., Seite 1317-1330 volume:64 year:2020 number:8 day:25 month:04 pages:1317-1330
sourceStr	Enthalten in Theory of computing systems 64(2020), 8 vom: 25. Apr., Seite 1317-1330 volume:64 year:2020 number:8 day:25 month:04 pages:1317-1330
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Independent feedback vertex set Parameterized algorithms Branching
dewey-raw	004
isfreeaccess_bool	true
container_title	Theory of computing systems
authorswithroles_txt_mv	Li, Shaohua @@aut@@ Pilipczuk, Marcin @@aut@@
publishDateDaySort_date	2020-04-25T00:00:00Z
hierarchy_top_id	254909728
dewey-sort	14
id	SPR04230606X
language_de	englisch
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We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. 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author	Li, Shaohua
spellingShingle	Li, Shaohua ddc 004 ddc 510 bkl 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 misc Independent feedback vertex set misc Parameterized algorithms misc Branching An Improved FPT Algorithm for Independent Feedback Vertex Set
authorStr	Li, Shaohua
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topic_title	004 ASE 510 000 ASE 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 bkl An Improved FPT Algorithm for Independent Feedback Vertex Set Independent feedback vertex set (dpeaa)DE-He213 Parameterized algorithms (dpeaa)DE-He213 Branching (dpeaa)DE-He213
topic	ddc 004 ddc 510 bkl 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 misc Independent feedback vertex set misc Parameterized algorithms misc Branching
topic_unstemmed	ddc 004 ddc 510 bkl 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 misc Independent feedback vertex set misc Parameterized algorithms misc Branching
topic_browse	ddc 004 ddc 510 bkl 31.00 bkl 54.10 bkl 85.00 bkl 83.00 bkl 54.00 misc Independent feedback vertex set misc Parameterized algorithms misc Branching
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title	An Improved FPT Algorithm for Independent Feedback Vertex Set
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title_full	An Improved FPT Algorithm for Independent Feedback Vertex Set
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doi_str_mv	10.1007/s00224-020-09973-w
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title_sort	improved fpt algorithm for independent feedback vertex set
title_auth	An Improved FPT Algorithm for Independent Feedback Vertex Set
abstract	Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm.
abstractGer	Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm.
abstract_unstemmed	Abstract We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that G ∖ S is a forest and S is an independent set of size at most k. We present an $\mathcal {O}^{\ast }((1+\varphi ^{2})^{k})$-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, improving the previous fastest $\mathcal {O}^{\ast }(4.1481^{k})$-time algorithm given by Agrawal et al. (2016). The exponential factor in our time complexity bound matches the fastest deterministic FPT algorithm for the classic Feedback Vertex Set problem. On the technical side, the main novelty is a refined measure of an input instance in a branching process, that allows for a simpler and more concise description and analysis of the algorithm.
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container_issue	8
title_short	An Improved FPT Algorithm for Independent Feedback Vertex Set
url	https://dx.doi.org/10.1007/s00224-020-09973-w
remote_bool	true
author2	Pilipczuk, Marcin
author2Str	Pilipczuk, Marcin
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doi_str	10.1007/s00224-020-09973-w
up_date	2024-07-04T01:36:13.397Z
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