{"id":"https://openalex.org/W4408444218","doi":"https://doi.org/10.5070/c65165021","title":"Feynman symmetries of the Martin and \\(c_2\\) invariants of regular graphs","display_name":"Feynman symmetries of the Martin and \\(c_2\\) invariants of regular graphs","publication_year":2025,"publication_date":"2025-03-14","ids":{"openalex":"https://openalex.org/W4408444218","doi":"https://doi.org/10.5070/c65165021"},"language":"en","primary_location":{"id":"doi:10.5070/c65165021","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65165021","pdf_url":"https://escholarship.org/content/qt06x4w2zp/qt06x4w2zp.pdf?t=st3z48","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://escholarship.org/content/qt06x4w2zp/qt06x4w2zp.pdf?t=st3z48","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072534737","display_name":"Erik Panzer","orcid":"https://orcid.org/0000-0002-9897-5812"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Erik Panzer","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040147498","display_name":"Karen Yeats","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karen Yeats","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072534737"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08735278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9632999897003174,"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":0.9632999897003174,"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/T13234","display_name":"advanced mathematical theories","score":0.9052000045776367,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.902999997138977,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/feynman-diagram","display_name":"Feynman diagram","score":0.667654275894165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5254473090171814},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5228551030158997},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3452885150909424},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3205275535583496},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.22463813424110413},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09611976146697998}],"concepts":[{"id":"https://openalex.org/C65574998","wikidata":"https://www.wikidata.org/wiki/Q386272","display_name":"Feynman diagram","level":2,"score":0.667654275894165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5254473090171814},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5228551030158997},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3452885150909424},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3205275535583496},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.22463813424110413},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09611976146697998}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5070/c65165021","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65165021","pdf_url":"https://escholarship.org/content/qt06x4w2zp/qt06x4w2zp.pdf?t=st3z48","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt06x4w2zp","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/06x4w2zp","pdf_url":"https://escholarship.org/content/qt06x4w2zp/qt06x4w2zp.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorial Theory, vol 5, iss 1","raw_type":"article"},{"id":"pmh:doi:10.5070/C65165021","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S7407050878","display_name":"California Digital Library","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text/journal article"}],"best_oa_location":{"id":"doi:10.5070/c65165021","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65165021","pdf_url":"https://escholarship.org/content/qt06x4w2zp/qt06x4w2zp.pdf?t=st3z48","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2203179303","display_name":null,"funder_award_id":"R014604/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3341554066","display_name":null,"funder_award_id":"EP/R014604/","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5450091064","display_name":"Isaac Newton Institute for Mathematical Sciences","funder_award_id":"EP/R014604/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6226214964","display_name":null,"funder_award_id":"EP/R014604","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8595721295","display_name":null,"funder_award_id":"NSERC","funder_id":"https://openalex.org/F4320320994","funder_display_name":"Canada Research Chairs"},{"id":"https://openalex.org/G8970760648","display_name":null,"funder_award_id":"EP/R014604/1","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320312716","display_name":"Innovation, Science and Economic Development Canada","ror":"https://ror.org/03zp01h17"},{"id":"https://openalex.org/F4320319880","display_name":"Government of Canada","ror":"https://ror.org/010q4q527"},{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"},{"id":"https://openalex.org/F4320331462","display_name":"Institut P\u00e9rim\u00e8tre de physique th\u00e9orique","ror":"https://ror.org/013m0ej23"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408444218.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1544736090","https://openalex.org/W1979597421","https://openalex.org/W2481670462","https://openalex.org/W4388395532","https://openalex.org/W2007980826","https://openalex.org/W2131671035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819"],"abstract_inverted_index":{"For":[0],"every":[1],"regular":[2],"graph,":[3],"we":[4],"define":[5],"a":[6],"sequence":[7,21,43,138],"of":[8,13,32,34,48],"integers,":[9],"using":[10],"the":[11,14,29,35,64,68,81,85],"recursion":[12],"Martin":[15,116,125],"polynomial.":[16,37],"We":[17,38,56,99],"prove":[18,40],"that":[19,41,58,93,101],"this":[20,42,62],"counts":[22],"spanning":[23,128],"tree":[24],"partitions":[25],"and":[26,67,91,112],"thus":[27],"constitutes":[28],"diagonal":[30],"coefficients":[31],"powers":[33],"Kirchhoff":[36],"also":[39,92],"respects":[44],"all":[45,89],"known":[46],"symmetries":[47],"Feynman":[49,107,132],"period":[50],"integrals":[51],"in":[52],"quantum":[53],"field":[54],"theory.":[55],"show":[57],"other":[59],"quantities":[60],"with":[61],"property,":[63],"\\(c_2\\)":[65,86],"invariant":[66,87,103],"extended":[69],"graph":[70],"permanent,":[71,136],"are":[72,109,118],"essentially":[73],"determined":[74],"by":[75],"our":[76,102],"new":[77],"sequence.":[78],"This":[79],"proves":[80],"completion":[82],"conjecture":[83,100],"for":[84],"at":[88],"primes,":[90],"it":[94],"is":[95,104],"fixed":[96],"under":[97],"twists.":[98],"perfect:":[105],"Two":[106],"periods":[108],"equal,":[110],"if":[111],"only":[113],"if,":[114],"their":[115],"sequences":[117],"equal.Mathematics":[119],"Subject":[120],"Classifications:":[121],"81Q30,":[122],"05C70,":[123],"05C45Keywords:":[124],"polynomial,":[126],"transitions,":[127],"trees,":[129],"point":[130],"counts,":[131],"integrals,":[133],"integer":[134],"sequences,":[135],"Pr\u00fcfer":[137]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}