A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$

Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via...
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Autor*in:	Koutecký, Martin [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Graph coloring Neighborhood diversity Integer programming

Anmerkung:	© The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Graphs and combinatorics - Tokyo : Springer-Verl. Tokyo, 1985, 38(2022), 5 vom: 26. Aug.
Übergeordnetes Werk:	volume:38 ; year:2022 ; number:5 ; day:26 ; month:08

Links:	Volltext

DOI / URN:	10.1007/s00373-022-02553-4

Katalog-ID:	SPR04851635X

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520			\|a Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity.
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allfields	10.1007/s00373-022-02553-4 doi (DE-627)SPR04851635X (SPR)s00373-022-02553-4-e DE-627 ger DE-627 rakwb eng Koutecký, Martin verfasserin aut A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity. Graph coloring (dpeaa)DE-He213 Neighborhood diversity (dpeaa)DE-He213 Integer programming (dpeaa)DE-He213 Enthalten in Graphs and combinatorics Tokyo : Springer-Verl. Tokyo, 1985 38(2022), 5 vom: 26. Aug. (DE-627)30018381X (DE-600)1481435-3 1435-5914 nnns volume:38 year:2022 number:5 day:26 month:08 https://dx.doi.org/10.1007/s00373-022-02553-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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 AR 38 2022 5 26 08
spelling	10.1007/s00373-022-02553-4 doi (DE-627)SPR04851635X (SPR)s00373-022-02553-4-e DE-627 ger DE-627 rakwb eng Koutecký, Martin verfasserin aut A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity. Graph coloring (dpeaa)DE-He213 Neighborhood diversity (dpeaa)DE-He213 Integer programming (dpeaa)DE-He213 Enthalten in Graphs and combinatorics Tokyo : Springer-Verl. Tokyo, 1985 38(2022), 5 vom: 26. Aug. (DE-627)30018381X (DE-600)1481435-3 1435-5914 nnns volume:38 year:2022 number:5 day:26 month:08 https://dx.doi.org/10.1007/s00373-022-02553-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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 AR 38 2022 5 26 08
allfields_unstemmed	10.1007/s00373-022-02553-4 doi (DE-627)SPR04851635X (SPR)s00373-022-02553-4-e DE-627 ger DE-627 rakwb eng Koutecký, Martin verfasserin aut A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity. Graph coloring (dpeaa)DE-He213 Neighborhood diversity (dpeaa)DE-He213 Integer programming (dpeaa)DE-He213 Enthalten in Graphs and combinatorics Tokyo : Springer-Verl. Tokyo, 1985 38(2022), 5 vom: 26. Aug. (DE-627)30018381X (DE-600)1481435-3 1435-5914 nnns volume:38 year:2022 number:5 day:26 month:08 https://dx.doi.org/10.1007/s00373-022-02553-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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 AR 38 2022 5 26 08
allfieldsGer	10.1007/s00373-022-02553-4 doi (DE-627)SPR04851635X (SPR)s00373-022-02553-4-e DE-627 ger DE-627 rakwb eng Koutecký, Martin verfasserin aut A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity. Graph coloring (dpeaa)DE-He213 Neighborhood diversity (dpeaa)DE-He213 Integer programming (dpeaa)DE-He213 Enthalten in Graphs and combinatorics Tokyo : Springer-Verl. Tokyo, 1985 38(2022), 5 vom: 26. Aug. (DE-627)30018381X (DE-600)1481435-3 1435-5914 nnns volume:38 year:2022 number:5 day:26 month:08 https://dx.doi.org/10.1007/s00373-022-02553-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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 AR 38 2022 5 26 08
allfieldsSound	10.1007/s00373-022-02553-4 doi (DE-627)SPR04851635X (SPR)s00373-022-02553-4-e DE-627 ger DE-627 rakwb eng Koutecký, Martin verfasserin aut A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity. Graph coloring (dpeaa)DE-He213 Neighborhood diversity (dpeaa)DE-He213 Integer programming (dpeaa)DE-He213 Enthalten in Graphs and combinatorics Tokyo : Springer-Verl. Tokyo, 1985 38(2022), 5 vom: 26. Aug. (DE-627)30018381X (DE-600)1481435-3 1435-5914 nnns volume:38 year:2022 number:5 day:26 month:08 https://dx.doi.org/10.1007/s00373-022-02553-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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 AR 38 2022 5 26 08
language	English
source	Enthalten in Graphs and combinatorics 38(2022), 5 vom: 26. Aug. volume:38 year:2022 number:5 day:26 month:08
sourceStr	Enthalten in Graphs and combinatorics 38(2022), 5 vom: 26. Aug. volume:38 year:2022 number:5 day:26 month:08
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Graph coloring Neighborhood diversity Integer programming
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container_title	Graphs and combinatorics
authorswithroles_txt_mv	Koutecký, Martin @@aut@@
publishDateDaySort_date	2022-08-26T00:00:00Z
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author	Koutecký, Martin
spellingShingle	Koutecký, Martin misc Graph coloring misc Neighborhood diversity misc Integer programming A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$
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topic_title	A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$ Graph coloring (dpeaa)DE-He213 Neighborhood diversity (dpeaa)DE-He213 Integer programming (dpeaa)DE-He213
topic	misc Graph coloring misc Neighborhood diversity misc Integer programming
topic_unstemmed	misc Graph coloring misc Neighborhood diversity misc Integer programming
topic_browse	misc Graph coloring misc Neighborhood diversity misc Integer programming
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title	A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$
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title_full	A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$
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doi_str_mv	10.1007/s00373-022-02553-4
title_sort	note on coloring %$(4k_1, c_4, c_6)%$-free graphs with a %$c_7%$
title_auth	A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$
abstract	Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity. © The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity. © The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract Even-hole-free graphs are a graph class of much interest. Foley et al. (Graphs Comb. 36(1):125–138, 2020) have recently studied %$(4K_1, C_4, C_6)%$-free graphs, which form a subclass of even-hole-free graphs. Specifically, Foley et al. have shown an algorithm for coloring these graphs via bounded clique-width if they contain a %$C_7%$. In this note, we give a simpler and much faster algorithm via a more restrictive graph parameter, neighborhood diversity. © The Author(s), under exclusive licence to Springer Japan KK, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$
url	https://dx.doi.org/10.1007/s00373-022-02553-4
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up_date	2024-07-03T19:43:00.187Z
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A Note on Coloring %$(4K_1, C_4, C_6)%$-Free Graphs with a %$C_7%$

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