{"id":"https://openalex.org/W3108234147","doi":"https://doi.org/10.37236/10185","title":"Some Applications of Wagner's Weighted Subgraph Counting Polynomial","display_name":"Some Applications of Wagner's Weighted Subgraph Counting Polynomial","publication_year":2021,"publication_date":"2021-10-21","ids":{"openalex":"https://openalex.org/W3108234147","doi":"https://doi.org/10.37236/10185","mag":"3108234147"},"language":"en","primary_location":{"id":"doi:10.37236/10185","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10185","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p14/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/v28i4p14/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078997533","display_name":"Ferenc Bencs","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132216","display_name":"National Research, Development and Innovation Office","ror":"https://ror.org/03g2am276","country_code":"HU","type":"government","lineage":["https://openalex.org/I4210132216"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Ferenc Bencs","raw_affiliation_strings":["Supported by the NKFIH (National Research, Development"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Supported by the NKFIH (National Research, Development","institution_ids":["https://openalex.org/I4210132216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103170165","display_name":"P\u00e9ter Cs\u00edkv\u00e1ri","orcid":"https://orcid.org/0000-0001-6909-5253"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"P\u00e9ter Csikv\u00e1ri","raw_affiliation_strings":["Alfred Renyi Institute of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfred Renyi Institute of Mathematics","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072303140","display_name":"Guus Regts","orcid":"https://orcid.org/0000-0002-7813-4952"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Guus Regts","raw_affiliation_strings":["Korteweg de Vries Institute for Mathematics, University of Amsterdam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Korteweg de Vries Institute for Mathematics, University of Amsterdam","institution_ids":["https://openalex.org/I865915315","https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9353,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75698364,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"28","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9993000030517578,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6515213847160339},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6186459064483643},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5926896333694458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5910108685493469},{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition function (quantum field theory)","score":0.5864994525909424},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.5655714869499207},{"id":"https://openalex.org/keywords/induced-subgraph-isomorphism-problem","display_name":"Induced subgraph isomorphism problem","score":0.5595088601112366},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.43823879957199097},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4169348180294037},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.415462464094162},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3401501178741455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2632594704627991},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.16409361362457275},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07733187079429626},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06225225329399109},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.047573208808898926}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6515213847160339},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6186459064483643},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5926896333694458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5910108685493469},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.5864994525909424},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.5655714869499207},{"id":"https://openalex.org/C191241153","wikidata":"https://www.wikidata.org/wiki/Q6027240","display_name":"Induced subgraph isomorphism problem","level":5,"score":0.5595088601112366},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.43823879957199097},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4169348180294037},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.415462464094162},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3401501178741455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2632594704627991},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.16409361362457275},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07733187079429626},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06225225329399109},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.047573208808898926},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.37236/10185","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10185","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p14/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:dare.uva.nl:openaire/4d70fd4b-777a-4195-b65d-654d80dea62c","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/some-applications-of-wagners-weighted-subgraph-counting-polynomial(4d70fd4b-777a-4195-b65d-654d80dea62c).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bencs, F, Csikv\u00e1ri, P & Regts, G 2021, 'Some Applications of Wagner's Weighted Subgraph Counting Polynomial', The Electronic Journal of Combinatorics, vol. 28, no. 4, 4-14. https://doi.org/10.37236/10185","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2012.00806","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.00806","pdf_url":"https://arxiv.org/pdf/2012.00806","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":null,"raw_type":"text"},{"id":"mag:3108234147","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2012.00806.pdf","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":"pmh:oai:dare.uva.nl:openaire_cris_publications/4d70fd4b-777a-4195-b65d-654d80dea62c","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/some-applications-of-wagners-weighted-subgraph-counting-polynomial(4d70fd4b-777a-4195-b65d-654d80dea62c).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bencs , F , Csikv\u00e1ri , P & Regts , G 2021 , ' Some Applications of Wagner's Weighted Subgraph Counting Polynomial ' , The Electronic Journal of Combinatorics , vol. 28 , no. 4 , 4-14 . https://doi.org/10.37236/10185","raw_type":"article"},{"id":"pmh:oai:edit.elte.hu:10831/110683","is_oa":true,"landing_page_url":"http://hdl.handle.net/10831/110683","pdf_url":null,"source":{"id":"https://openalex.org/S4306400126","display_name":"ELTE Digital Institutional Repository (EDIT) (E\u00f6tv\u00f6s Lor\u00e1nd University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I106118109","host_organization_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","host_organization_lineage":["https://openalex.org/I106118109"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2012.00806","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2012.00806","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:10.37236/10185","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10185","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p14/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/G7999705830","display_name":null,"funder_award_id":"VI.Vidi.193.068","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3108234147.pdf","grobid_xml":"https://content.openalex.org/works/W3108234147.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W326868420","https://openalex.org/W1485288837","https://openalex.org/W1539465893","https://openalex.org/W1600957744","https://openalex.org/W1682699604","https://openalex.org/W1780327035","https://openalex.org/W1836341359","https://openalex.org/W1968052199","https://openalex.org/W1992716804","https://openalex.org/W2016843307","https://openalex.org/W2037389370","https://openalex.org/W2096626276","https://openalex.org/W2173795713","https://openalex.org/W2194571268","https://openalex.org/W2227075066","https://openalex.org/W2236877021","https://openalex.org/W2353913554","https://openalex.org/W2474151873","https://openalex.org/W2607730504","https://openalex.org/W2607935881","https://openalex.org/W2895543709","https://openalex.org/W2963533437","https://openalex.org/W2963629529","https://openalex.org/W3002263754","https://openalex.org/W3026018393","https://openalex.org/W3098145045","https://openalex.org/W3155378399"],"related_works":["https://openalex.org/W3209339103","https://openalex.org/W2058339257","https://openalex.org/W2082242399","https://openalex.org/W2949611055","https://openalex.org/W2951297839","https://openalex.org/W2950394034","https://openalex.org/W3178116434","https://openalex.org/W2476719297","https://openalex.org/W2936634590","https://openalex.org/W1826955964","https://openalex.org/W2759740247","https://openalex.org/W2068734246","https://openalex.org/W2964160217","https://openalex.org/W1629112612","https://openalex.org/W2952384369","https://openalex.org/W2785736399","https://openalex.org/W2972568639","https://openalex.org/W2975888281","https://openalex.org/W3002091431","https://openalex.org/W2953030453"],"abstract_inverted_index":{"We":[0,40,74],"use":[1],"Wagner's":[2],"weighted":[3],"subgraph":[4],"counting":[5],"polynomial":[6,33,50],"to":[7,25,66,81],"prove":[8,26],"that":[9,27,44],"the":[10,14,30,47,67],"partition":[11],"function":[12],"of":[13,29,46,51,64,69,72,88],"anti-ferromagnetic":[15],"Ising":[16],"model":[17],"on":[18],"line":[19],"graphs":[20],"is":[21],"real":[22],"rooted":[23],"and":[24,61],"roots":[28,45,68],"edge":[31,48],"cover":[32,49],"have":[34,55],"absolute":[35,56],"value":[36,57],"at":[37,58],"most":[38,59],"$4$.":[39],"more":[41],"generally":[42],"show":[43],"a":[52],"$k$-uniform":[53],"hypergraph":[54],"$2^k$,":[60],"discuss":[62,76],"applications":[63],"this":[65],"domination":[70],"polynomials":[71],"graphs.":[73],"moreover":[75],"how":[77],"our":[78],"results":[79],"relate":[80],"efficient":[82],"algorithms":[83],"for":[84],"approximately":[85],"computing":[86],"evaluations":[87],"these":[89],"polynomials.
":[90]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}