{"id":"https://openalex.org/W4392576607","doi":"https://doi.org/10.48550/arxiv.2403.03907","title":"The gonality of chess graphs","display_name":"The gonality of chess graphs","publication_year":2024,"publication_date":"2024-03-06","ids":{"openalex":"https://openalex.org/W4392576607","doi":"https://doi.org/10.48550/arxiv.2403.03907"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2403.03907","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.03907","pdf_url":"https://arxiv.org/pdf/2403.03907","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2403.03907","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5094095394","display_name":"Nila Cibu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cibu, Nila","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102973006","display_name":"Kexin Ding","orcid":"https://orcid.org/0000-0002-7518-5957","observed_orcids":["https://orcid.org/0000-0002-7518-5957"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ding, Kexin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038769360","display_name":"Steven DiSilvio","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"DiSilvio, Steven","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093393073","display_name":"Sasha Kononova","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kononova, Sasha","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029999637","display_name":"Chan Lee","orcid":"https://orcid.org/0009-0004-7827-8579","observed_orcids":["https://orcid.org/0009-0004-7827-8579"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lee, Chan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075168385","display_name":"Ralph Morrison","orcid":"https://orcid.org/0000-0001-7134-1521","observed_orcids":["https://orcid.org/0000-0001-7134-1521"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Morrison, Ralph","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5093393074","display_name":"Krish Singal","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Singal, Krish","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.8589000105857849,"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":0.8589000105857849,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.016499999910593033,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.013100000098347664,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/gonality","display_name":"gonality","score":0.8339999914169312},{"id":"https://openalex.org/keywords/chip-firing","display_name":"chip-firing","score":0.8880000114440918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49526968598365784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39673060178756714},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32689353823661804}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2403.03907","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.03907","pdf_url":"https://arxiv.org/pdf/2403.03907","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2403.03907","doi":"https://doi.org/10.48550/arxiv.2403.03907","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2403.03907","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2403.03907","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.03907","pdf_url":"https://arxiv.org/pdf/2403.03907","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392576607.pdf","grobid_xml":"https://content.openalex.org/works/W4392576607.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4401136797","https://openalex.org/W6941311578","https://openalex.org/W4400480222","https://openalex.org/W4415191219","https://openalex.org/W2973507110","https://openalex.org/W3186475054","https://openalex.org/W7028608636","https://openalex.org/W7206204112","https://openalex.org/W2026915189","https://openalex.org/W4225732339"],"abstract_inverted_index":{"Chess":[0],"graphs":[1,21],"encode":[2],"the":[3,23,38,50],"moves":[4],"that":[5,59],"a":[6],"particular":[7],"chess":[8,62],"piece":[9],"can":[10],"make":[11],"on":[12,69],"an":[13,66],"$m\\times":[14],"n$":[15],"chessboard.":[16],"We":[17,31,56],"study":[18],"through":[19,22],"these":[20,54],"lens":[24],"of":[25,40,53,74],"chip-firing":[26],"games":[27],"and":[28,34,43,82],"graph":[29],"gonality.":[30],"provide":[32],"upper":[33,67],"lower":[35],"bounds":[36],"for":[37,49,77],"gonality":[39,70],"king's,":[41],"bishop's,":[42],"knight's":[44],"graphs,":[45,63],"as":[46,48],"well":[47],"toroidal":[51,79,83],"versions":[52],"graphs.":[55,85],"also":[57],"prove":[58],"among":[60],"all":[61],"there":[64],"exists":[65],"bound":[68],"solely":[71],"in":[72],"terms":[73],"$\\min\\{m,n\\}$,":[75],"except":[76],"queen's,":[78,80],"rook's,":[81],"bishop's":[84]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2024-03-08T00:00:00"}
