{"id":"https://openalex.org/W4414718367","doi":"https://doi.org/10.1142/s1793830925501381","title":"Characterization of the center function on Barbell graphs and (m,n)\u2013lollipops using universal axioms","display_name":"Characterization of the center function on Barbell graphs and (m,n)\u2013lollipops using universal axioms","publication_year":2025,"publication_date":"2025-10-01","ids":{"openalex":"https://openalex.org/W4414718367","doi":"https://doi.org/10.1142/s1793830925501381"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830925501381","doi":"https://doi.org/10.1142/s1793830925501381","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830925501381","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,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-2"],"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"},"volume":null,"type":"article","is_traditional":true,"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/A5074448757","display_name":"Manoj Changat","orcid":"https://orcid.org/0000-0001-7257-6031","observed_orcids":["https://orcid.org/0000-0001-7257-6031"]},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Manoj Changat","raw_affiliation_strings":["Department of Futures Studies, University of Kerala, Trivandrum 695581, India"],"raw_orcid":"https://orcid.org/0000-0001-7257-6031","affiliations":[{"raw_affiliation_string":"Department of Futures Studies, University of Kerala, Trivandrum 695581, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058147024","display_name":"Antony Mathews","orcid":"https://orcid.org/0009-0002-0450-7311","observed_orcids":["https://orcid.org/0009-0002-0450-7311"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Antony Mathews","raw_affiliation_strings":["Department of Mathematics, St. Berchmans College, Changanacherry 686101, India"],"raw_orcid":"https://orcid.org/0009-0002-0450-7311","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Berchmans College, Changanacherry 686101, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057486216","display_name":"Prasanth G. Narasimha-Shenoi","orcid":"https://orcid.org/0000-0002-5850-5410","observed_orcids":["https://orcid.org/0000-0002-5850-5410"]},"institutions":[{"id":"https://openalex.org/I2800731441","display_name":"Government of Kerala","ror":"https://ror.org/00r96e843","country_code":"IN","type":"government","lineage":["https://openalex.org/I2800731441"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Prasanth G. Narasimha-Shenoi","raw_affiliation_strings":["Department of Collegiate Education, Government of Kerala, Thiruvananthapuram, India","Department of Mathematics, Government College Chittur, Palakkad 678104, India"],"raw_orcid":"https://orcid.org/0000-0002-5850-5410","affiliations":[{"raw_affiliation_string":"Department of Collegiate Education, Government of Kerala, Thiruvananthapuram, India","institution_ids":["https://openalex.org/I2800731441"]},{"raw_affiliation_string":"Department of Mathematics, Government College Chittur, Palakkad 678104, India","institution_ids":["https://openalex.org/I2800731441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109136060","display_name":"J.-C. Thomas","orcid":"https://orcid.org/0009-0009-4843-0214","observed_orcids":["https://orcid.org/0009-0009-4843-0214"]},"institutions":[{"id":"https://openalex.org/I4405255754","display_name":"Assumption College","ror":"https://ror.org/03cw9y275","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405255754"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jayasree Thomas","raw_affiliation_strings":["Department of Mathematics, Assumption College, Changanacherry 686101, India"],"raw_orcid":"https://orcid.org/0009-0009-4843-0214","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Assumption College, Changanacherry 686101, India","institution_ids":["https://openalex.org/I4405255754"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5779,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54511634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"18","issue":"09","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":0.5562000274658203,"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":0.5562000274658203,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.23340000212192535,"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":0.08110000193119049,"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/center-functions","display_name":"center functions","score":0.968999981880188},{"id":"https://openalex.org/keywords/barbell-graph","display_name":"barbell graph","score":0.8610000014305115},{"id":"https://openalex.org/keywords/lollipop-graphs","display_name":"lollipop graphs","score":0.7739999890327454},{"id":"https://openalex.org/keywords/block-graphs","display_name":"block graphs","score":0.7749999761581421},{"id":"https://openalex.org/keywords/axiomatization","display_name":"axiomatization","score":0.8870000243186951},{"id":"https://openalex.org/keywords/graph-center","display_name":"graph center","score":0.4790000021457672},{"id":"https://openalex.org/keywords/graph-distance","display_name":"graph distance","score":0.44699999690055847}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.838100016117096},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6970000267028809},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.673799991607666},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6653000116348267},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.633400022983551},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5645999908447266},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4814000129699707},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4447000026702881},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.37929999828338623},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.3212999999523163},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.28139999508857727},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.2547000050544739}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830925501381","doi":"https://doi.org/10.1142/s1793830925501381","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830925501381","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,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-2"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1498731007","https://openalex.org/W1967472135","https://openalex.org/W1983931601","https://openalex.org/W1999957467","https://openalex.org/W2004433054","https://openalex.org/W2057254837","https://openalex.org/W2088304143","https://openalex.org/W2117115726","https://openalex.org/W2117587378","https://openalex.org/W2127422345","https://openalex.org/W2153103572","https://openalex.org/W2385239667","https://openalex.org/W2499639493","https://openalex.org/W2614417207","https://openalex.org/W2797151263"],"related_works":["https://openalex.org/W2797151263","https://openalex.org/W7128915729","https://openalex.org/W2614417207","https://openalex.org/W4407823401","https://openalex.org/W4408568259","https://openalex.org/W3128940964","https://openalex.org/W2110305779","https://openalex.org/W4412409721","https://openalex.org/W4391765014","https://openalex.org/W7099257830"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,12,33,84],"see":[2,13,34,85],"text]":[3],"be":[4],"any":[5],"set":[6,20],"of":[7,21,39,77],"vertices":[8,23,31],"in":[9,32],"a":[10],"graph":[11],"text].":[14,35],"The":[15,36],"center":[16,41,56,72],"function":[17,42,57,73],"outputs":[18],"the":[19,26,30,40,55,71],"all":[22,62],"that":[24,46],"minimizes":[25],"maximum":[27],"distance":[28],"to":[29,68],"axiomatic":[37],"characterization":[38],"identifies":[43],"consensus":[44],"axioms":[45],"define":[47],"its":[48],"properties.":[49],"An":[50],"axiom":[51],"becomes":[52],"universal":[53],"for":[54,61],"if":[58],"it":[59],"holds":[60],"connected":[63],"graphs.":[64],"This":[65],"paper":[66],"aims":[67],"characterize":[69],"axiomatically":[70],"on":[74],"two":[75],"subclasses":[76],"block":[78],"graphs,":[79],"namely,":[80],"Barbell":[81],"graphs":[82],"and":[83],"text]-lollipops.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-10-10T00:00:00"}