{"id":"https://openalex.org/W2127693137","doi":"https://doi.org/10.37236/1063","title":"A Gessel&amp;ndash;Viennot-Type Method for Cycle Systems in a Directed Graph","display_name":"A Gessel&amp;ndash;Viennot-Type Method for Cycle Systems in a Directed Graph","publication_year":2006,"publication_date":"2006-04-04","ids":{"openalex":"https://openalex.org/W2127693137","doi":"https://doi.org/10.37236/1063","mag":"2127693137"},"language":"en","primary_location":{"id":"doi:10.37236/1063","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1063","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r37/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":null,"license_id":null,"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/v13i1r37/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043983966","display_name":"Christopher R. H. Hanusa","orcid":"https://orcid.org/0000-0002-5668-3950"},"institutions":[{"id":"https://openalex.org/I123946342","display_name":"Binghamton University","ror":"https://ror.org/008rmbt77","country_code":"US","type":"education","lineage":["https://openalex.org/I123946342"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christopher R. H. Hanusa","raw_affiliation_strings":["Department of Mathematical Sciences Binghamton University, Binghamton, New York, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences Binghamton University, Binghamton, New York, USA","institution_ids":["https://openalex.org/I123946342"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043983966"],"corresponding_institution_ids":["https://openalex.org/I123946342"],"apc_list":null,"apc_paid":null,"fwci":1.4067,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80150977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9901999831199646,"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/T12748","display_name":"Molecular spectroscopy and chirality","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.855332612991333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7777815461158752},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6837950944900513},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5434575080871582},{"id":"https://openalex.org/keywords/domino","display_name":"Domino","score":0.5055060386657715},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.44339659810066223},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.17140966653823853},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.14360389113426208},{"id":"https://openalex.org/keywords/organic-chemistry","display_name":"Organic chemistry","score":0.05352753400802612}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.855332612991333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7777815461158752},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6837950944900513},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5434575080871582},{"id":"https://openalex.org/C2776416436","wikidata":"https://www.wikidata.org/wiki/Q3751781","display_name":"Domino","level":3,"score":0.5055060386657715},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.44339659810066223},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.17140966653823853},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.14360389113426208},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.05352753400802612},{"id":"https://openalex.org/C161790260","wikidata":"https://www.wikidata.org/wiki/Q82264","display_name":"Catalysis","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/1063","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1063","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r37/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/1063","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1063","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r37/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2127693137.pdf","grobid_xml":"https://content.openalex.org/works/W2127693137.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1497284375","https://openalex.org/W1653035750","https://openalex.org/W1715153673","https://openalex.org/W1953826099","https://openalex.org/W2003082715","https://openalex.org/W2035176959","https://openalex.org/W2091216084","https://openalex.org/W2104871902","https://openalex.org/W2126209209","https://openalex.org/W2317423124","https://openalex.org/W2952336157","https://openalex.org/W3165109979","https://openalex.org/W4233812611","https://openalex.org/W4248658188"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2013740965","https://openalex.org/W588267724","https://openalex.org/W4297743441","https://openalex.org/W2952598754","https://openalex.org/W2026779193"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,11],"new":[3,27],"determinantal":[4,19],"method":[5,20,25],"to":[6],"count":[7],"cycle":[8],"systems":[9],"in":[10],"directed":[12],"graph":[13],"that":[14],"generalizes":[15],"Gessel":[16],"and":[17,40],"Viennot's":[18],"on":[21],"path":[22],"systems.":[23],"The":[24],"gives":[26],"insight":[28],"into":[29],"the":[30],"enumeration":[31],"of":[32,35],"domino":[33],"tilings":[34],"Aztec":[36,38],"diamonds,":[37],"pillows,":[39],"related":[41],"regions.":[42]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
