{"id":"https://openalex.org/W2343072473","doi":"https://doi.org/10.37236/3506","title":"Locally 3-Arc-Transitive Regular Covers of Complete Bipartite Graphs","display_name":"Locally 3-Arc-Transitive Regular Covers of Complete Bipartite Graphs","publication_year":2016,"publication_date":"2016-04-29","ids":{"openalex":"https://openalex.org/W2343072473","doi":"https://doi.org/10.37236/3506","mag":"2343072473"},"language":"en","primary_location":{"id":"doi:10.37236/3506","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3506","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p18/pdf","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://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p18/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052430085","display_name":"Eric Swartz","orcid":"https://orcid.org/0000-0002-1590-1595"},"institutions":[{"id":"https://openalex.org/I16285277","display_name":"William & Mary","ror":"https://ror.org/03hsf0573","country_code":"US","type":"education","lineage":["https://openalex.org/I16285277"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eric Swartz","raw_affiliation_strings":["College of William and Mary"],"affiliations":[{"raw_affiliation_string":"College of William and Mary","institution_ids":["https://openalex.org/I16285277"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052430085"],"corresponding_institution_ids":["https://openalex.org/I16285277"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08646617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"23","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8832001090049744},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.8094797134399414},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7912187576293945},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7501187920570374},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.6845301389694214},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.5452906489372253},{"id":"https://openalex.org/keywords/transformation-group","display_name":"Transformation group","score":0.5320252776145935},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4791626036167145},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.4618171155452728},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45008108019828796},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.43076834082603455},{"id":"https://openalex.org/keywords/transitive-reduction","display_name":"Transitive reduction","score":0.42022454738616943},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.31659144163131714},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.28970324993133545},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.20606979727745056},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.14009296894073486},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12039372324943542},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11457180976867676},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07719537615776062}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8832001090049744},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.8094797134399414},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7912187576293945},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7501187920570374},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.6845301389694214},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.5452906489372253},{"id":"https://openalex.org/C2993626508","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Transformation group","level":2,"score":0.5320252776145935},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4791626036167145},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.4618171155452728},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45008108019828796},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.43076834082603455},{"id":"https://openalex.org/C129691609","wikidata":"https://www.wikidata.org/wiki/Q3088151","display_name":"Transitive reduction","level":5,"score":0.42022454738616943},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.31659144163131714},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.28970324993133545},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.20606979727745056},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.14009296894073486},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12039372324943542},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11457180976867676},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07719537615776062},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/3506","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3506","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p18/pdf","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"},{"id":"pmh:oai:scholarworks.wm.edu:aspubs-1735","is_oa":false,"landing_page_url":"https://scholarworks.wm.edu/aspubs/727","pdf_url":null,"source":{"id":"https://openalex.org/S4306401254","display_name":"W&M Publish (College of William & Mary)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16285277","host_organization_name":"William & Mary","host_organization_lineage":["https://openalex.org/I16285277"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Arts & Sciences Articles","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/3506","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3506","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p18/pdf","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":[{"id":"https://openalex.org/G8753352047","display_name":null,"funder_award_id":"DP120101336","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2343072473.pdf","grobid_xml":"https://content.openalex.org/works/W2343072473.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1018319489","https://openalex.org/W1138511073","https://openalex.org/W1493654001","https://openalex.org/W1558273801","https://openalex.org/W1570047016","https://openalex.org/W1829792917","https://openalex.org/W1971500264","https://openalex.org/W1982603784","https://openalex.org/W1992025818","https://openalex.org/W1993476867","https://openalex.org/W2003166470","https://openalex.org/W2007076836","https://openalex.org/W2020954923","https://openalex.org/W2022014598","https://openalex.org/W2030492940","https://openalex.org/W2058088561","https://openalex.org/W2063976358","https://openalex.org/W2066302051","https://openalex.org/W2068845873","https://openalex.org/W2077403381","https://openalex.org/W2083781802","https://openalex.org/W2090388949","https://openalex.org/W2113726659","https://openalex.org/W2125732536","https://openalex.org/W2149319730","https://openalex.org/W2160427895","https://openalex.org/W2321186912","https://openalex.org/W2798943694","https://openalex.org/W3093281440","https://openalex.org/W4388321128","https://openalex.org/W6600203831","https://openalex.org/W6652357902","https://openalex.org/W6667173040","https://openalex.org/W6989195494"],"related_works":["https://openalex.org/W4297795770","https://openalex.org/W2123134119","https://openalex.org/W1553139688","https://openalex.org/W2383282217","https://openalex.org/W2362009423","https://openalex.org/W2061331082","https://openalex.org/W2371151875","https://openalex.org/W77010254","https://openalex.org/W1994877243","https://openalex.org/W1996983051"],"abstract_inverted_index":{"In":[0,24],"this":[1],"paper,":[2],"locally":[3,32,49],"$3$-arc-transitive":[4,33,50],"regular":[5,51],"covers":[6,52],"of":[7,53,71],"complete":[8,54],"bipartite":[9,55],"graphs":[10,34,56],"are":[11,15,27,44],"studied,":[12],"and":[13,41],"results":[14,43],"obtained":[16,28],"that":[17],"apply":[18],"to":[19,46,62],"arbitrary":[20],"covering":[21,38,58],"transformation":[22,39,59],"groups.":[23],"particular,":[25],"methods":[26],"for":[29],"classifying":[30],"the":[31,48],"with":[35,57],"a":[36,63],"prescribed":[37],"group,":[40],"these":[42],"applied":[45],"classify":[47],"group":[60,65,70],"isomorphic":[61],"cyclic":[64],"or":[66],"an":[67],"elementary":[68],"abelian":[69],"order":[72],"$p^2$.":[73]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
