{"id":"https://openalex.org/W7125589548","doi":"https://doi.org/10.1016/j.tcs.2026.115767","title":"Comparison of k-creature and t-critter","display_name":"Comparison of k-creature and t-critter","publication_year":2026,"publication_date":"2026-01-24","ids":{"openalex":"https://openalex.org/W7125589548","doi":"https://doi.org/10.1016/j.tcs.2026.115767"},"language":"en","primary_location":{"id":"doi:10.1016/j.tcs.2026.115767","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.tcs.2026.115767","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.tcs.2026.115767","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5123757776","display_name":"Kohei Nomura","orcid":null},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kohei Nomura","raw_affiliation_strings":["Graduate School of Science and Engineering, Tokyo Denki University, Hatoyama-machi Hiki-gun, Ishizaka Saitama, 350-0394, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Tokyo Denki University, Hatoyama-machi Hiki-gun, Ishizaka Saitama, 350-0394, Japan","institution_ids":["https://openalex.org/I165522056"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063135860","display_name":"Koichi Yamazaki","orcid":"https://orcid.org/0000-0002-4293-8676"},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Koichi Yamazaki","raw_affiliation_strings":["Graduate School of Science and Engineering, Tokyo Denki University, Hatoyama-machi Hiki-gun, Ishizaka Saitama, 350-0394, Japan"],"raw_orcid":"https://orcid.org/0000-0002-4293-8676","affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Tokyo Denki University, Hatoyama-machi Hiki-gun, Ishizaka Saitama, 350-0394, Japan","institution_ids":["https://openalex.org/I165522056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063135860"],"corresponding_institution_ids":["https://openalex.org/I165522056"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18452076,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1068","issue":null,"first_page":"115767","last_page":"115767"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.6407999992370605,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.6407999992370605,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.14869999885559082,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.05420000106096268,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7354000210762024},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5824000239372253},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.46320000290870667},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4593999981880188},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4514999985694885},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.38929998874664307},{"id":"https://openalex.org/keywords/factor-critical-graph","display_name":"Factor-critical graph","score":0.3684000074863434},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.3634999990463257},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.35659998655319214}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7354000210762024},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.664900004863739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6534000039100647},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5835999846458435},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5824000239372253},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.46320000290870667},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4593999981880188},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4514999985694885},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.38929998874664307},{"id":"https://openalex.org/C36038622","wikidata":"https://www.wikidata.org/wiki/Q5428703","display_name":"Factor-critical graph","level":5,"score":0.3684000074863434},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.3634999990463257},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.35659998655319214},{"id":"https://openalex.org/C14201764","wikidata":"https://www.wikidata.org/wiki/Q1205074","display_name":"Symmetric graph","level":5,"score":0.34709998965263367},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.3382999897003174},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.33239999413490295},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.3310000002384186},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.3050999939441681},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.29420000314712524},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.2854999899864197},{"id":"https://openalex.org/C198414033","wikidata":"https://www.wikidata.org/wiki/Q5155607","display_name":"Comparability graph","level":5,"score":0.27900001406669617},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.26100000739097595},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.26019999384880066},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.2526000142097473}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.tcs.2026.115767","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.tcs.2026.115767","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.tcs.2026.115767","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.tcs.2026.115767","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6864942881","display_name":null,"funder_award_id":"19K11818","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1964653177","https://openalex.org/W1968041356","https://openalex.org/W1985733932","https://openalex.org/W1987604867","https://openalex.org/W1992510404","https://openalex.org/W2010030994","https://openalex.org/W2031076941","https://openalex.org/W2032682009","https://openalex.org/W2041927851","https://openalex.org/W2049040449","https://openalex.org/W2058462969","https://openalex.org/W2059857922","https://openalex.org/W2074211284","https://openalex.org/W2075197346","https://openalex.org/W2087083200","https://openalex.org/W2087911394","https://openalex.org/W2105379994","https://openalex.org/W2113407832","https://openalex.org/W2139404577","https://openalex.org/W2150965716","https://openalex.org/W2171507355","https://openalex.org/W2333445768","https://openalex.org/W2972989051","https://openalex.org/W3022074675","https://openalex.org/W3137869160","https://openalex.org/W3209095404","https://openalex.org/W4405418465"],"related_works":[],"abstract_inverted_index":{"Studying":[0],"minimal":[1,19,41,67,93,127,199,228],"separators":[2,200],"in":[3,32],"graph":[4,35,85,107,137,174,210],"theory":[5],"is":[6,46],"important":[7],"for":[8,226],"both":[9],"practical":[10],"and":[11,102,160,182],"theoretical":[12],"reasons.":[13],"Some":[14],"graphs":[15,55,116],"have":[16,23,64,124],"polynomially":[17],"many":[18,40,66,126],"separators,":[20],"while":[21],"others":[22],"exponentially":[24,39,65,125],"many.":[25],"Recently,":[26],"there":[27],"has":[28,51],"been":[29,52],"increasing":[30],"interest":[31],"understanding":[33],"which":[34,143,178,186],"structures":[36,214],"lead":[37],"to":[38,83,152],"separators.":[42,68,94,128],"One":[43],"such":[44],"structure":[45,138],"a":[47,57,89,106,135],"k":[48,58,78,111,120,141,146,158,161,176,180,183,189],"-creature.":[49],"It":[50],"observed":[53],"that":[54,76,220],"containing":[56],"-creature":[59],"as":[60,110],"an":[61],"induced":[62],"subgraph":[63],"Because":[69],"of":[70,92,119,134,201],"this,":[71],"it":[72],"was":[73,98],"initially":[74],"conjectured":[75],"forbidding":[77],"-creatures":[79,159],"would":[80],"be":[81],"sufficient":[82],"characterize":[84],"classes":[86],"with":[87],"only":[88],"polynomial":[90],"number":[91],"However,":[95],"this":[96],"conjecture":[97],"disproven":[99],"by":[100,163,197],"Gartland":[101],"Lokshtanov,":[103],"who":[104],"introduced":[105],"class":[108],"known":[109],"-twisted":[112,147,184],"ladders.":[113],"Although":[114],"these":[115],"are":[117],"free":[118],"-creatures,":[121,181],"they":[122],"still":[123],"This":[129,149],"counterexample":[130],"motivated":[131],"the":[132,140,145,154,188,194,198],"introduction":[133],"new":[136],"called":[139],"-critter,":[142],"generalizes":[144],"ladder.":[148],"paper":[150],"aims":[151],"clarify":[153],"fundamental":[155],"differences":[156],"between":[157],"-critters":[162],"analyzing":[164],"their":[165,208,212],"associated":[166],"lattice":[167,213],"structures.":[168],"We":[169],"focus":[170],"on":[171],"two":[172],"representative":[173],"types:":[175],"-ladders,":[177],"exemplify":[179],"ladders,":[185],"represent":[187],"-critter":[190],"structure.":[191],"By":[192],"comparing":[193],"lattices":[195],"formed":[196],"each":[202],"graph,":[203],"we":[204],"demonstrate":[205],"that,":[206],"despite":[207],"similar":[209],"structures,":[211],"differ":[215],"significantly.":[216],"Our":[217],"results":[218],"show":[219],"lattice-theoretical":[221],"methods":[222],"provide":[223],"useful":[224],"insights":[225],"studying":[227],"a,":[229],"b":[230],"-separators.":[231]},"counts_by_year":[],"updated_date":"2026-01-30T23:17:42.513302","created_date":"2026-01-25T00:00:00"}