Combinatorics of minimal absent words for a sliding window

A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Akagi, Tooru [verfasserIn] Kuhara, Yuki [verfasserIn] Mieno, Takuya [verfasserIn] Nakashima, Yuto [verfasserIn] Inenaga, Shunsuke [verfasserIn] Bannai, Hideo [verfasserIn] Takeda, Masayuki [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Combinatorics on words Minimal absent words Sliding window

Übergeordnetes Werk:	Enthalten in: Theoretical computer science - Amsterdam [u.a.] : Elsevier, 1975, 927, Seite 109-119
Übergeordnetes Werk:	volume:927 ; pages:109-119

DOI / URN:	10.1016/j.tcs.2022.06.002

Katalog-ID:	ELV008274746

Internformat


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245	1	0	\|a Combinatorics of minimal absent words for a sliding window
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520			\|a A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020].
650		4	\|a Combinatorics on words
650		4	\|a Minimal absent words
650		4	\|a Sliding window
700	1		\|a Kuhara, Yuki \|e verfasserin \|4 aut
700	1		\|a Mieno, Takuya \|e verfasserin \|4 aut
700	1		\|a Nakashima, Yuto \|e verfasserin \|4 aut
700	1		\|a Inenaga, Shunsuke \|e verfasserin \|4 aut
700	1		\|a Bannai, Hideo \|e verfasserin \|0 (orcid)0000-0002-6856-5185 \|4 aut
700	1		\|a Takeda, Masayuki \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Theoretical computer science \|d Amsterdam [u.a.] : Elsevier, 1975 \|g 927, Seite 109-119 \|h Online-Ressource \|w (DE-627)265784174 \|w (DE-600)1466347-8 \|w (DE-576)074891030 \|7 nnns
773	1	8	\|g volume:927 \|g pages:109-119
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912			\|a GBV_ILN_32
912			\|a GBV_ILN_40
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912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_101
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_224
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2056
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_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
936	b	k	\|a 54.10 \|j Theoretische Informatik
951			\|a AR
952			\|d 927 \|h 109-119

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author_variant	t a ta y k yk t m tm y n yn s i si h b hb m t mt
matchkey_str	akagitoorukuharayukimienotakuyanakashima:2022----:obntrcomnmlbetodfr
hierarchy_sort_str	2022
bklnumber	54.10
publishDate	2022
allfields	10.1016/j.tcs.2022.06.002 doi (DE-627)ELV008274746 (ELSEVIER)S0304-3975(22)00355-3 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Akagi, Tooru verfasserin aut Combinatorics of minimal absent words for a sliding window 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020]. Combinatorics on words Minimal absent words Sliding window Kuhara, Yuki verfasserin aut Mieno, Takuya verfasserin aut Nakashima, Yuto verfasserin aut Inenaga, Shunsuke verfasserin aut Bannai, Hideo verfasserin (orcid)0000-0002-6856-5185 aut Takeda, Masayuki verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 927, Seite 109-119 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:927 pages:109-119 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 927 109-119
spelling	10.1016/j.tcs.2022.06.002 doi (DE-627)ELV008274746 (ELSEVIER)S0304-3975(22)00355-3 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Akagi, Tooru verfasserin aut Combinatorics of minimal absent words for a sliding window 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020]. Combinatorics on words Minimal absent words Sliding window Kuhara, Yuki verfasserin aut Mieno, Takuya verfasserin aut Nakashima, Yuto verfasserin aut Inenaga, Shunsuke verfasserin aut Bannai, Hideo verfasserin (orcid)0000-0002-6856-5185 aut Takeda, Masayuki verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 927, Seite 109-119 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:927 pages:109-119 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 927 109-119
allfields_unstemmed	10.1016/j.tcs.2022.06.002 doi (DE-627)ELV008274746 (ELSEVIER)S0304-3975(22)00355-3 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Akagi, Tooru verfasserin aut Combinatorics of minimal absent words for a sliding window 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020]. Combinatorics on words Minimal absent words Sliding window Kuhara, Yuki verfasserin aut Mieno, Takuya verfasserin aut Nakashima, Yuto verfasserin aut Inenaga, Shunsuke verfasserin aut Bannai, Hideo verfasserin (orcid)0000-0002-6856-5185 aut Takeda, Masayuki verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 927, Seite 109-119 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:927 pages:109-119 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 927 109-119
allfieldsGer	10.1016/j.tcs.2022.06.002 doi (DE-627)ELV008274746 (ELSEVIER)S0304-3975(22)00355-3 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Akagi, Tooru verfasserin aut Combinatorics of minimal absent words for a sliding window 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020]. Combinatorics on words Minimal absent words Sliding window Kuhara, Yuki verfasserin aut Mieno, Takuya verfasserin aut Nakashima, Yuto verfasserin aut Inenaga, Shunsuke verfasserin aut Bannai, Hideo verfasserin (orcid)0000-0002-6856-5185 aut Takeda, Masayuki verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 927, Seite 109-119 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:927 pages:109-119 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 927 109-119
allfieldsSound	10.1016/j.tcs.2022.06.002 doi (DE-627)ELV008274746 (ELSEVIER)S0304-3975(22)00355-3 DE-627 ger DE-627 rda eng 004 DE-600 54.10 bkl Akagi, Tooru verfasserin aut Combinatorics of minimal absent words for a sliding window 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020]. Combinatorics on words Minimal absent words Sliding window Kuhara, Yuki verfasserin aut Mieno, Takuya verfasserin aut Nakashima, Yuto verfasserin aut Inenaga, Shunsuke verfasserin aut Bannai, Hideo verfasserin (orcid)0000-0002-6856-5185 aut Takeda, Masayuki verfasserin aut Enthalten in Theoretical computer science Amsterdam [u.a.] : Elsevier, 1975 927, Seite 109-119 Online-Ressource (DE-627)265784174 (DE-600)1466347-8 (DE-576)074891030 nnns volume:927 pages:109-119 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 54.10 Theoretische Informatik AR 927 109-119
language	English
source	Enthalten in Theoretical computer science 927, Seite 109-119 volume:927 pages:109-119
sourceStr	Enthalten in Theoretical computer science 927, Seite 109-119 volume:927 pages:109-119
format_phy_str_mv	Article
bklname	Theoretische Informatik
institution	findex.gbv.de
topic_facet	Combinatorics on words Minimal absent words Sliding window
dewey-raw	004
isfreeaccess_bool	false
container_title	Theoretical computer science
authorswithroles_txt_mv	Akagi, Tooru @@aut@@ Kuhara, Yuki @@aut@@ Mieno, Takuya @@aut@@ Nakashima, Yuto @@aut@@ Inenaga, Shunsuke @@aut@@ Bannai, Hideo @@aut@@ Takeda, Masayuki @@aut@@
publishDateDaySort_date	2022-01-01T00:00:00Z
hierarchy_top_id	265784174
dewey-sort	14
id	ELV008274746
language_de	englisch
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author	Akagi, Tooru
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topic_title	004 DE-600 54.10 bkl Combinatorics of minimal absent words for a sliding window Combinatorics on words Minimal absent words Sliding window
topic	ddc 004 bkl 54.10 misc Combinatorics on words misc Minimal absent words misc Sliding window
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title	Combinatorics of minimal absent words for a sliding window
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title_full	Combinatorics of minimal absent words for a sliding window
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title_sort	combinatorics of minimal absent words for a sliding window
title_auth	Combinatorics of minimal absent words for a sliding window
abstract	A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020].
abstractGer	A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020].
abstract_unstemmed	A string w is called a minimal absent word (MAW) for another string T if w does not occur in T but the proper substrings of w occur in T. For example, let Σ = { a , b , c } be the alphabet. Then, the set of MAWs for string w = abaab is { aaa , aaba , bab , bb , c } . In this paper, we study combinatorial properties of MAWs in the sliding window model, namely, how the set of MAWs changes when a sliding window of fixed length d is shifted over the input string T of length n, where 1 ≤ d < n . We present tight upper and lower bounds on the maximum number of changes in the set of MAWs for a sliding window over T, both in the cases of general alphabets and binary alphabets. Our bounds improve on the previously known best bounds [Crochemore et al., 2020].
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title_short	Combinatorics of minimal absent words for a sliding window
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author2	Kuhara, Yuki Mieno, Takuya Nakashima, Yuto Inenaga, Shunsuke Bannai, Hideo Takeda, Masayuki
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up_date	2024-07-06T19:08:28.847Z
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score	7.3977833

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