{"id":"https://openalex.org/W1965786138","doi":"https://doi.org/10.1002/(sici)1097-0118(200004)33:4<246::aid-jgt6>3.0.co;2-6","title":"A characterization of Zm-well-covered graphs of girth 6 or more","display_name":"A characterization of Zm-well-covered graphs of girth 6 or more","publication_year":2000,"publication_date":"2000-04-01","ids":{"openalex":"https://openalex.org/W1965786138","doi":"https://doi.org/10.1002/(sici)1097-0118(200004)33:4<246::aid-jgt6>3.0.co;2-6","mag":"1965786138"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(200004)33:4<246::aid-jgt6>3.0.co;2-6","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(200004)33:4<246::aid-jgt6>3.0.co;2-6","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5000697501","display_name":"Yair Caro","orcid":"https://orcid.org/0000-0002-9687-5770"},"institutions":[{"id":"https://openalex.org/I107326029","display_name":"Oranim Academic College of Education","ror":"https://ror.org/01539v588","country_code":"IL","type":"education","lineage":["https://openalex.org/I107326029"]},{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Y. Caro","raw_affiliation_strings":["Department of Mathematics, School of Education, University of Haifa, Oranim, Tivon, 36006 Israel","Department of Mathematics, School of Education, University of Haifa, Oranim, Tivon, 36006 Israel#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Education, University of Haifa, Oranim, Tivon, 36006 Israel","institution_ids":["https://openalex.org/I107326029","https://openalex.org/I91203450"]},{"raw_affiliation_string":"Department of Mathematics, School of Education, University of Haifa, Oranim, Tivon, 36006 Israel#TAB#","institution_ids":["https://openalex.org/I107326029","https://openalex.org/I91203450"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052665260","display_name":"Bert L. Hartnell","orcid":null},"institutions":[{"id":"https://openalex.org/I66890659","display_name":"Saint Mary's University","ror":"https://ror.org/010zh7098","country_code":"CA","type":"education","lineage":["https://openalex.org/I66890659"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. Hartnell","raw_affiliation_strings":["Department of Mathematics and Computing Science, Saint Mary's University, Halifax, N.S., Canada B3H 3C3","Department of Mathematics and Computing Science, Saint Mary's University, Halifax, N.S., Canada B3H 3C3#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computing Science, Saint Mary's University, Halifax, N.S., Canada B3H 3C3","institution_ids":["https://openalex.org/I66890659"]},{"raw_affiliation_string":"Department of Mathematics and Computing Science, Saint Mary's University, Halifax, N.S., Canada B3H 3C3#TAB#","institution_ids":["https://openalex.org/I66890659"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":1.4092,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8047215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"33","issue":"4","first_page":"246","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9997000098228455,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9997000098228455,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9983999729156494,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9975000023841858,"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":0.8333472013473511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7794252634048462},{"id":"https://openalex.org/keywords/odd-graph","display_name":"Odd graph","score":0.7445144653320312},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5294494032859802},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.5090867877006531},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4986402988433838},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4941239655017853},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.47142595052719116},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.46636709570884705},{"id":"https://openalex.org/keywords/triangle-free-graph","display_name":"Triangle-free graph","score":0.42837071418762207},{"id":"https://openalex.org/keywords/metric-dimension","display_name":"Metric dimension","score":0.4116983711719513},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.34478896856307983},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.33593353629112244}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8333472013473511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7794252634048462},{"id":"https://openalex.org/C206815938","wikidata":"https://www.wikidata.org/wiki/Q7077445","display_name":"Odd graph","level":5,"score":0.7445144653320312},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5294494032859802},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.5090867877006531},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4986402988433838},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4941239655017853},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.47142595052719116},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.46636709570884705},{"id":"https://openalex.org/C114727528","wikidata":"https://www.wikidata.org/wiki/Q7840044","display_name":"Triangle-free graph","level":5,"score":0.42837071418762207},{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.4116983711719513},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.34478896856307983},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.33593353629112244},{"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":2,"locations":[{"id":"doi:10.1002/(sici)1097-0118(200004)33:4<246::aid-jgt6>3.0.co;2-6","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(200004)33:4<246::aid-jgt6>3.0.co;2-6","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"mag:1965786138","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/jgt/jgt33.html#CaroH00","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Journal of Graph Theory","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W34057122","https://openalex.org/W1519275474","https://openalex.org/W1996466460","https://openalex.org/W2027811099","https://openalex.org/W2035195871","https://openalex.org/W2036243565","https://openalex.org/W2040588665","https://openalex.org/W2041022284","https://openalex.org/W2042714866","https://openalex.org/W2044585960","https://openalex.org/W2073099254","https://openalex.org/W2125478135","https://openalex.org/W2131158880","https://openalex.org/W2166890675","https://openalex.org/W6813560327"],"related_works":["https://openalex.org/W2949574134","https://openalex.org/W2750330821","https://openalex.org/W2158375989","https://openalex.org/W2921371825","https://openalex.org/W1999854368","https://openalex.org/W1964104809","https://openalex.org/W2139618349","https://openalex.org/W3180474026","https://openalex.org/W2951938968","https://openalex.org/W2021022635","https://openalex.org/W2300378454","https://openalex.org/W2949918778","https://openalex.org/W1980394113","https://openalex.org/W2345067526","https://openalex.org/W1552590858","https://openalex.org/W37585774","https://openalex.org/W1508755082","https://openalex.org/W2083686159","https://openalex.org/W2075056990","https://openalex.org/W2119433758"],"abstract_inverted_index":{"The":[0],"class":[1],"of":[2,10,15,52,60,80],"Zm-well-covered":[3],"graphs,":[4,38],"those":[5,51],"in":[6,73],"which":[7],"the":[8,20,26],"cardinality":[9],"every":[11],"maximal":[12],"independent":[13],"subset":[14],"vertices":[16],"is":[17,41,71],"congruent":[18],"to":[19,75],"same":[21],"number":[22],"modulo":[23],"m,":[24],"contains":[25],"well-covered":[27,58,78],"graphs":[28,59,79],"as":[29,31],"well":[30],"parity":[32],"graphs.":[33],"Here":[34],"we":[35],"consider":[36],"such":[37],"where":[39],"there":[40],"no":[42],"small":[43],"cycle":[44],"present":[45],"and":[46,68],"obtain":[47],"a":[48],"characterization":[49],"for":[50],"girth":[53,61,81],"6":[54],"or":[55,63,83],"more.":[56,84],"Weighted":[57],"7":[62,82],"more":[64],"are":[65],"also":[66],"characterized,":[67],"this":[69],"result":[70],"used,":[72],"turn,":[74],"characterize":[76],"magic":[77],"\u00a9":[85],"2000":[86,97],"John":[87],"Wiley":[88],"&":[89],"Sons,":[90],"Inc.":[91],"J":[92],"Graph":[93],"Theory":[94],"33:":[95],"246\u2013255,":[96]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
