{"id":"https://openalex.org/W1729741365","doi":"https://doi.org/10.37236/4783","title":"Weight of 3-Paths in Sparse Plane Graphs","display_name":"Weight of 3-Paths in Sparse Plane Graphs","publication_year":2015,"publication_date":"2015-08-28","ids":{"openalex":"https://openalex.org/W1729741365","doi":"https://doi.org/10.37236/4783","mag":"1729741365"},"language":"en","primary_location":{"id":"doi:10.37236/4783","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4783","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/10.37236/4783","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065144488","display_name":"V. A. Aksenov","orcid":null},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"V. A. Aksenov","raw_affiliation_strings":["Novosibirsk state university"],"affiliations":[{"raw_affiliation_string":"Novosibirsk state university","institution_ids":["https://openalex.org/I188973947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102189070","display_name":"O.V. Borodin","orcid":null},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"O. V. Borodin","raw_affiliation_strings":["Novosibirsk state university"],"affiliations":[{"raw_affiliation_string":"Novosibirsk state university","institution_ids":["https://openalex.org/I188973947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018493774","display_name":"A. O. Ivanova","orcid":"https://orcid.org/0000-0002-6179-3740"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. O. Ivanova","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065144488"],"corresponding_institution_ids":["https://openalex.org/I188973947"],"apc_list":null,"apc_paid":null,"fwci":3.1546,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.9175234,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"3","first_page":null,"last_page":null},"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/T11476","display_name":"Graph theory and applications","score":0.9965999722480774,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/combinatorics","display_name":"Combinatorics","score":0.8832504749298096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8385711908340454},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6981144547462463},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6766268014907837},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.579897403717041},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5395935773849487},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5026168823242188},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.4293592572212219},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.41021835803985596},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3701896071434021},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.35602259635925293},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0664965808391571},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.050798892974853516}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8832504749298096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8385711908340454},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6981144547462463},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6766268014907837},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.579897403717041},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5395935773849487},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5026168823242188},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.4293592572212219},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.41021835803985596},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3701896071434021},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.35602259635925293},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0664965808391571},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.050798892974853516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/4783","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4783","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:10.37236/4783","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4783","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W21046168","https://openalex.org/W72721511","https://openalex.org/W142613662","https://openalex.org/W257329835","https://openalex.org/W1991616632","https://openalex.org/W1994361334","https://openalex.org/W1995705069","https://openalex.org/W2014586115","https://openalex.org/W2032395556","https://openalex.org/W2038450909","https://openalex.org/W2044164675","https://openalex.org/W2086683112","https://openalex.org/W2318826893","https://openalex.org/W2978509545"],"related_works":["https://openalex.org/W2399035783","https://openalex.org/W3161230432","https://openalex.org/W2311783135","https://openalex.org/W2903806635","https://openalex.org/W1487201914","https://openalex.org/W3194471551","https://openalex.org/W4353100660","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W4367190712"],"abstract_inverted_index":{"We":[0],"prove":[1,50],"precise":[2],"upper":[3,55,75],"bounds":[4],"for":[5,57],"the":[6,46,51,74],"minimum":[7,23],"weight":[8],"of":[9,19,53,69],"a":[10,37],"path":[11],"on":[12],"three":[13],"vertices":[14],"in":[15],"several":[16],"natural":[17],"classes":[18],"plane":[20],"graphs":[21],"with":[22],"degree":[24,70],"2":[25],"and":[26,42,49,81],"girth":[27],"$g$":[28],"from":[29],"5":[30],"to":[31,64],"7.":[32],"In":[33],"particular,":[34],"we":[35],"disprove":[36],"conjecture":[38],"by":[39,79],"S.":[40],"Jendrol'":[41,80],"M.":[43],"Macekov\u00e1":[44,82],"concerning":[45],"case":[47],"$g=5$":[48,58],"tightness":[52],"their":[54],"bound":[56,76],"when":[59],"no":[60],"vertex":[61,68],"is":[62,83],"adjacent":[63],"more":[65],"than":[66],"one":[67],"2.":[71],"For":[72],"$g\\ge8$,":[73],"recently":[77],"found":[78],"tight.":[84]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}