{"id":"https://openalex.org/W2766941419","doi":"https://doi.org/10.1142/s1793830918500039","title":"Requiring adjacent chords in cycles","display_name":"Requiring adjacent chords in cycles","publication_year":2017,"publication_date":"2017-11-03","ids":{"openalex":"https://openalex.org/W2766941419","doi":"https://doi.org/10.1142/s1793830918500039","mag":"2766941419"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830918500039","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830918500039","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018454433","display_name":"Terry A. McKee","orcid":"https://orcid.org/0000-0003-0745-6716"},"institutions":[{"id":"https://openalex.org/I19648265","display_name":"Wright State University","ror":"https://ror.org/04qk6pt94","country_code":"US","type":"education","lineage":["https://openalex.org/I19648265"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Terry A. McKee","raw_affiliation_strings":["Department of Mathematics & Statistics, Wright State University, Dayton, Ohio 45435, USA"],"raw_orcid":"https://orcid.org/0000-0003-0745-6716","affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, Wright State University, Dayton, Ohio 45435, USA","institution_ids":["https://openalex.org/I19648265"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018454433"],"corresponding_institution_ids":["https://openalex.org/I19648265"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19490752,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"01","first_page":"1850003","last_page":"1850003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8335809707641602},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8088616132736206},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.7853589057922363},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5684394240379333},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.5142128467559814},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5039011836051941},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.4659135639667511},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.45991742610931396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4594152867794037},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3509410619735718},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.19609752297401428}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8335809707641602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8088616132736206},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.7853589057922363},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5684394240379333},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.5142128467559814},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5039011836051941},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.4659135639667511},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.45991742610931396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4594152867794037},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3509410619735718},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.19609752297401428},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830918500039","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830918500039","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1579049696","https://openalex.org/W1975941306","https://openalex.org/W1981356557","https://openalex.org/W2041910029","https://openalex.org/W2072141822","https://openalex.org/W2102241833","https://openalex.org/W2999762551","https://openalex.org/W3000727783"],"related_works":["https://openalex.org/W2157783000","https://openalex.org/W4287117052","https://openalex.org/W4206705200","https://openalex.org/W2788975631","https://openalex.org/W2963009577","https://openalex.org/W2028363955","https://openalex.org/W2061237693","https://openalex.org/W4220852510","https://openalex.org/W2903402681","https://openalex.org/W1964113132"],"abstract_inverted_index":{"Define":[0],"a":[1,33,37,97,100,109,131,134,144],"new":[2,77,150],"class":[3,52,78],"of":[4,8,22,63,85,91,103,119,125,137,148],"graphs":[5,49,57,74],"by":[6,61],"cycles":[7,21,62],"length":[9,23,64,92,126],"5":[10,24,65,93],"or":[11,25,66,94,128],"more":[12,26,67,95,129],"always":[13,27,68],"having":[14,28,69],"adjacent":[15],"chords.":[16],"This":[17,141],"is":[18,32,111],"equivalent":[19],"to":[20,55,143],"noncrossing":[29],"chords,":[30],"which":[31,82],"property":[34],"that":[35,108],"has":[36],"known":[38],"forbidden":[39],"induced":[40],"subgraph":[41,146],"characterization.":[42],"Another":[43],"characterization":[44,147],"comes":[45],"from":[46],"viewing":[47],"the":[48,73,76,149],"in":[50,53,75,81],"this":[51],"contrast":[54],"distance-hereditary":[56],"(which":[58],"are":[59,79],"characterized":[60],"crossing":[70],"chords).":[71],"Moreover,":[72],"those":[80],"every":[83,86,117,120],"edge":[84,118],"cycle":[87,121],"[Formula:":[88,104,122,138],"see":[89,105,123,139],"text]":[90,106,124],"forms":[96,130],"triangle":[98,132],"with":[99,133],"third":[101,135],"vertex":[102,136],"(generalizing":[107],"graph":[110],"chordal":[112],"if":[113,116],"and":[114],"only":[115],"4":[127],"text]).":[140],"leads":[142],"strategically-required":[145],"class.":[151]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}