{"id":"https://openalex.org/W2986913291","doi":"https://doi.org/10.1007/s00373-019-02120-4","title":"Chromatic Number of the Cyclic Graph of Infinite Semigroup","display_name":"Chromatic Number of the Cyclic Graph of Infinite Semigroup","publication_year":2019,"publication_date":"2019-11-16","ids":{"openalex":"https://openalex.org/W2986913291","doi":"https://doi.org/10.1007/s00373-019-02120-4","mag":"2986913291"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-019-02120-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02120-4","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","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/A5034411867","display_name":"Sandeep Dalal","orcid":"https://orcid.org/0000-0002-3259-1306"},"institutions":[{"id":"https://openalex.org/I74796645","display_name":"Birla Institute of Technology and Science, Pilani","ror":"https://ror.org/001p3jz28","country_code":"IN","type":"education","lineage":["https://openalex.org/I74796645"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sandeep Dalal","raw_affiliation_strings":["Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India","institution_ids":["https://openalex.org/I74796645"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101468958","display_name":"Jitender Kumar","orcid":"https://orcid.org/0000-0002-1574-0891"},"institutions":[{"id":"https://openalex.org/I74796645","display_name":"Birla Institute of Technology and Science, Pilani","ror":"https://ror.org/001p3jz28","country_code":"IN","type":"education","lineage":["https://openalex.org/I74796645"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jitender Kumar","raw_affiliation_strings":["Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India","institution_ids":["https://openalex.org/I74796645"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034411867"],"corresponding_institution_ids":["https://openalex.org/I74796645"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.2992,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88686698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"36","issue":"1","first_page":"109","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9782000184059143,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9782000184059143,"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/T10083","display_name":"Graphene research and applications","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11286","display_name":"Polyoxometalates: Synthesis and Applications","score":0.9638000130653381,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8625648021697998},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7545479536056519},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.555219292640686},{"id":"https://openalex.org/keywords/windmill-graph","display_name":"Windmill graph","score":0.5544834136962891},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.49124234914779663},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49087411165237427},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.43951311707496643},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4376859664916992},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.42777019739151},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.3605651259422302},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.33667537569999695}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8625648021697998},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7545479536056519},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.555219292640686},{"id":"https://openalex.org/C73380178","wikidata":"https://www.wikidata.org/wiki/Q8024306","display_name":"Windmill graph","level":5,"score":0.5544834136962891},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.49124234914779663},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49087411165237427},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.43951311707496643},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4376859664916992},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.42777019739151},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3605651259422302},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.33667537569999695}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-019-02120-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02120-4","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G964607119","display_name":null,"funder_award_id":"MTR/2018/000779","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W11677679","https://openalex.org/W215178276","https://openalex.org/W1479863711","https://openalex.org/W1487875360","https://openalex.org/W1974811277","https://openalex.org/W2006905866","https://openalex.org/W2022057165","https://openalex.org/W2036534180","https://openalex.org/W2042466864","https://openalex.org/W2044289231","https://openalex.org/W2157011362","https://openalex.org/W2244821093","https://openalex.org/W2738213627","https://openalex.org/W2963403635","https://openalex.org/W2963791943","https://openalex.org/W2973798923","https://openalex.org/W2978207653","https://openalex.org/W3023484317","https://openalex.org/W4301874181"],"related_works":["https://openalex.org/W2091414672","https://openalex.org/W2913613375","https://openalex.org/W4299704632","https://openalex.org/W1621024448","https://openalex.org/W2866441309","https://openalex.org/W3037602378","https://openalex.org/W2167092525","https://openalex.org/W1843060384","https://openalex.org/W2032820658","https://openalex.org/W2048112267"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
