{"id":"https://openalex.org/W2952496092","doi":"https://doi.org/10.37236/8456","title":"Homomorphisms of Cayley graphs and Cycle Double Covers","display_name":"Homomorphisms of Cayley graphs and Cycle Double Covers","publication_year":2020,"publication_date":"2020-04-03","ids":{"openalex":"https://openalex.org/W2952496092","doi":"https://doi.org/10.37236/8456","mag":"2952496092"},"language":"en","primary_location":{"id":"doi:10.37236/8456","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8456","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p2/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p2/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038677641","display_name":"Radek Hu\u0161ek","orcid":"https://orcid.org/0000-0002-3974-6307"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Radek Hu\u0161ek","raw_affiliation_strings":["Computer Science Institute of Charles University","Charles University in Prague"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Institute of Charles University","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Charles University in Prague","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081562141","display_name":"Robert \u0160\u00e1mal","orcid":"https://orcid.org/0000-0002-0172-6511"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Robert \u0160\u00e1mal","raw_affiliation_strings":["Computer Science Institute of Charles University","Charles University in Prague"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Institute of Charles University","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Charles University in Prague","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02102072,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"1","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":0.998199999332428,"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":0.998199999332428,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9937999844551086,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.8165652751922607},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.7801675796508789},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7756848335266113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6839497089385986},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.659659743309021},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5081765651702881},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4348784387111664}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.8165652751922607},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.7801675796508789},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7756848335266113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6839497089385986},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.659659743309021},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5081765651702881},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4348784387111664}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/8456","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8456","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p2/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:arXiv.org:1901.03112","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.03112","pdf_url":"https://arxiv.org/pdf/1901.03112","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2952496092","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.03112v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1901.03112","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1901.03112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/8456","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8456","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p2/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/G7694810163","display_name":null,"funder_award_id":"19-21082S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320309755","display_name":"Univerzita Karlova v Praze","ror":"https://ror.org/024d6js02"},{"id":"https://openalex.org/F4320309872","display_name":"Grantov\u00e1 Agentura, Univerzita Karlova","ror":"https://ror.org/024d6js02"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2952496092.pdf","grobid_xml":"https://content.openalex.org/works/W2952496092.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2011470163","https://openalex.org/W2060765530","https://openalex.org/W2073039945","https://openalex.org/W2075480893","https://openalex.org/W2088648195","https://openalex.org/W2314361409","https://openalex.org/W6669589009"],"related_works":["https://openalex.org/W3015102063","https://openalex.org/W3013011289","https://openalex.org/W2152984461","https://openalex.org/W2185714529","https://openalex.org/W3158202155","https://openalex.org/W3014527946","https://openalex.org/W2284243945","https://openalex.org/W2987876456","https://openalex.org/W2013467167","https://openalex.org/W2883232345","https://openalex.org/W2894394758","https://openalex.org/W2954199739","https://openalex.org/W2962858725","https://openalex.org/W1785234024","https://openalex.org/W2743081571","https://openalex.org/W2967456795","https://openalex.org/W2891795745","https://openalex.org/W2029981401","https://openalex.org/W2963732613","https://openalex.org/W2963752244"],"abstract_inverted_index":{"We":[0,44,81],"study":[1],"the":[2,41,85,89],"following":[3],"conjecture":[4,36,52,61,87],"of":[5,50,70,91,101],"Matt":[6],"DeVos:":[7],"If":[8],"there":[9],"is":[10],"a":[11,15,47,75,98],"graph":[12,17,23,28],"homomorphism":[13],"from":[14],"Cayley":[16,22],"$\\mathrm{Cay}(M,":[18],"B)$":[19],"to":[20],"another":[21],"$\\mathrm{Cay}(M',":[24],"B')$":[25],"then":[26],"every":[27],"with":[29,97],"an":[30,33,67,92],"$(M,B)$-flow":[31],"has":[32],"$(M',B')$-flow.":[34],"This":[35],"was":[37],"originally":[38],"motivated":[39],"by":[40],"flow-tension":[42],"duality.":[43],"show":[45,83],"that":[46,62,84],"natural":[48],"strengthening":[49],"this":[51,79],"does":[53],"not":[54],"hold":[55],"in":[56,78],"all":[57],"cases":[58],"but":[59],"we":[60,73],"it":[63],"still":[64],"holds":[65],"for":[66],"interesting":[68],"subclass":[69],"them":[71],"and":[72],"prove":[74],"partial":[76],"result":[77],"direction.":[80],"also":[82],"original":[86],"implies":[88],"existence":[90],"oriented":[93],"cycle":[94],"double":[95],"cover":[96],"small":[99],"number":[100],"cycles.":[102]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}