{"id":"https://openalex.org/W7104525576","doi":"https://doi.org/10.1145/3747199.3747566","title":"Flip Graphs with Symmetry and New Matrix Multiplication Schemes","display_name":"Flip Graphs with Symmetry and New Matrix Multiplication Schemes","publication_year":2025,"publication_date":"2025-07-28","ids":{"openalex":"https://openalex.org/W7104525576","doi":"https://doi.org/10.1145/3747199.3747566"},"language":null,"primary_location":{"id":"doi:10.1145/3747199.3747566","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747566","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3747199.3747566","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jakob Moosbauer","orcid":"https://orcid.org/0000-0002-0634-4854"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jakob Moosbauer","raw_affiliation_strings":["Department of Computer Science, University of Warwick, Coventry, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-0634-4854","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Warwick, Coventry, United Kingdom","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":null,"display_name":"Michael Poole","orcid":"https://orcid.org/0009-0002-6654-5831"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Poole","raw_affiliation_strings":["Independent Researcher, Wantage, United Kingdom"],"raw_orcid":"https://orcid.org/0009-0002-6654-5831","affiliations":[{"raw_affiliation_string":"Independent Researcher, Wantage, United Kingdom","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":null,"apc_paid":null,"fwci":2.7507,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.93807654,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"233","last_page":"239"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.41589999198913574,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.41589999198913574,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.31470000743865967,"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/T12303","display_name":"Tensor decomposition and applications","score":0.10249999910593033,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/matrix-multiplication","display_name":"Matrix multiplication","score":0.6786999702453613},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5999000072479248},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46799999475479126},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4172999858856201},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.414900004863739},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.39890000224113464},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.390500009059906}],"concepts":[{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.6786999702453613},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6089000105857849},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5999000072479248},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5080999732017517},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46799999475479126},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4172999858856201},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.414900004863739},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.39890000224113464},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3978999853134155},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.390500009059906},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3571999967098236},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.314300000667572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3009999990463257},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.29670000076293945},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.28870001435279846},{"id":"https://openalex.org/C2776591724","wikidata":"https://www.wikidata.org/wiki/Q5459651","display_name":"Flip","level":3,"score":0.2777999937534332},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2667999863624573},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.25699999928474426},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.25609999895095825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3747199.3747566","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747566","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3747199.3747566","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747566","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1979740015","https://openalex.org/W1983419392","https://openalex.org/W1986272312","https://openalex.org/W1989290453","https://openalex.org/W2004948173","https://openalex.org/W2019865138","https://openalex.org/W2031905258","https://openalex.org/W2035476608","https://openalex.org/W2954436830","https://openalex.org/W3035156307","https://openalex.org/W3093790569","https://openalex.org/W4205630623","https://openalex.org/W4302010773","https://openalex.org/W4383213621","https://openalex.org/W4400648403","https://openalex.org/W4406141849","https://openalex.org/W4406269462"],"related_works":[],"abstract_inverted_index":{"The":[0,55],"flip":[1,26,53],"graph":[2,27],"algorithm":[3,28],"is":[4],"a":[5,18,22],"method":[6],"for":[7,29,47,78],"discovering":[8],"new":[9,76],"matrix":[10,30],"multiplication":[11,31],"schemes":[12,32,60,77],"by":[13],"following":[14],"random":[15],"walks":[16],"on":[17],"graph.":[19,54],"We":[20],"introduce":[21],"version":[23],"of":[24,42,51,65],"the":[25,40,43,52,58,63],"that":[33],"admit":[34],"certain":[35],"symmetries.":[36],"This":[37],"significantly":[38],"reduces":[39],"size":[41],"search":[44],"space,":[45],"allowing":[46],"more":[48],"efficient":[49],"exploration":[50],"symmetry":[56],"in":[57],"resulting":[59],"also":[61],"facilitates":[62],"process":[64],"lifting":[66],"solutions":[67],"from":[68],"F2":[69],"to":[70],"\\(\\mathbb":[71],"{Z}\\).":[72],"Our":[73],"results":[74],"are":[75],"multiplying":[79],"5":[80,82],"\u00d7":[81,89],"matrices":[83,91],"using":[84,92],"93":[85],"multiplications":[86,94],"and":[87],"6":[88,90],"153":[93],"over":[95],"arbitrary":[96],"ground":[97],"fields.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
