{"id":"https://openalex.org/W2963666907","doi":"https://doi.org/10.37236/5315","title":"Chordality Properties and Hyperbolicity on Graphs","display_name":"Chordality Properties and Hyperbolicity on Graphs","publication_year":2016,"publication_date":"2016-09-30","ids":{"openalex":"https://openalex.org/W2963666907","doi":"https://doi.org/10.37236/5315","mag":"2963666907"},"language":"en","primary_location":{"id":"doi:10.37236/5315","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5315","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/5315","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059914269","display_name":"\u00c1lvaro Mart\u00ednez-P\u00e9rez","orcid":"https://orcid.org/0000-0002-1344-6189"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"\u00c1lvaro Mart\u00ednez-P\u00e9rez","raw_affiliation_strings":["Universidad de Castilla-La Mancha"],"affiliations":[{"raw_affiliation_string":"Universidad de Castilla-La Mancha","institution_ids":["https://openalex.org/I79189158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059914269"],"corresponding_institution_ids":["https://openalex.org/I79189158"],"apc_list":null,"apc_paid":null,"fwci":8.3311,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.98330929,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9829999804496765,"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"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9789999723434448,"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/mathematics","display_name":"Mathematics","score":0.8957140445709229},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6794107556343079},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.6203038096427917},{"id":"https://openalex.org/keywords/hyperbolic-tree","display_name":"Hyperbolic tree","score":0.5400548577308655},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5194496512413025},{"id":"https://openalex.org/keywords/distance-hereditary-graph","display_name":"Distance-hereditary graph","score":0.4685799777507782},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.4574223756790161},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4421175420284271},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2693847417831421},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2212083637714386},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1938614547252655},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"Hyperbolic geometry","score":0.0919262170791626},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08521431684494019}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8957140445709229},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6794107556343079},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.6203038096427917},{"id":"https://openalex.org/C97654310","wikidata":"https://www.wikidata.org/wiki/Q574023","display_name":"Hyperbolic tree","level":4,"score":0.5400548577308655},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5194496512413025},{"id":"https://openalex.org/C147792647","wikidata":"https://www.wikidata.org/wiki/Q5282847","display_name":"Distance-hereditary graph","level":5,"score":0.4685799777507782},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.4574223756790161},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4421175420284271},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2693847417831421},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2212083637714386},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1938614547252655},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.0919262170791626},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08521431684494019},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/5315","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5315","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/5315","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5315","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6399999856948853,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3139101777","https://openalex.org/W2169788279","https://openalex.org/W3142428054","https://openalex.org/W4288278989","https://openalex.org/W2113552471","https://openalex.org/W2013215731","https://openalex.org/W2972046864","https://openalex.org/W2007560929","https://openalex.org/W2110693971","https://openalex.org/W2091612923"],"abstract_inverted_index":{"Let":[0],"$G$":[1],"be":[2],"a":[3,27,89,97],"graph":[4,11,38,62],"with":[5],"the":[6,30,33,55,58,61,101],"usual":[7],"shortest-path":[8],"metric.":[9],"A":[10,37],"is":[12,24,39],"$\\delta$-hyperbolic":[13],"if":[14,41],"for":[15],"every":[16,42],"geodesic":[17],"triangle":[18],"$T$,":[19],"any":[20],"side":[21],"of":[22,29,32,60,71,91,96],"$T$":[23],"contained":[25],"in":[26],"$\\delta$-neighborhood":[28],"union":[31],"other":[34],"two":[35],"sides.":[36],"chordal":[40],"induced":[43],"cycle":[44],"has":[45],"at":[46],"most":[47],"three":[48],"edges.":[49],"In":[50],"this":[51],"paper":[52],"we":[53,87],"study":[54],"relation":[56],"between":[57],"hyperbolicity":[59],"and":[63,81],"some":[64],"chordality":[65,76,98],"properties":[66,77],"which":[67],"are":[68,79],"natural":[69],"generalizations":[70],"being":[72,84,92],"chordal.":[73],"We":[74],"find":[75],"that":[78],"weaker":[80],"stronger":[82],"than":[83],"$\\delta$-hyperbolic.":[85],"Moreover,":[86],"obtain":[88],"characterization":[90],"hyperbolic":[93],"on":[94,100],"terms":[95],"property":[99],"triangles.":[102]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
