{"id":"https://openalex.org/W2052852316","doi":"https://doi.org/10.1145/2608628.2608642","title":"Logspace computations in graph products","display_name":"Logspace computations in graph products","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2052852316","doi":"https://doi.org/10.1145/2608628.2608642","mag":"2052852316"},"language":"en","primary_location":{"id":"doi:10.1145/2608628.2608642","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2608628.2608642","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054093863","display_name":"Volker Diekert","orcid":"https://orcid.org/0000-0002-5994-3762"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Volker Diekert","raw_affiliation_strings":["FMI, Universit\u00e4t Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FMI, Universit\u00e4t Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038822602","display_name":"Jonathan Kausch","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jonathan Kausch","raw_affiliation_strings":["FMI, Universit\u00e4t Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FMI, Universit\u00e4t Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":1.1015,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7865109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"138","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994000196456909,"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/T11567","display_name":"semigroups and automata theory","score":0.9994000196456909,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9976999759674072,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7551635503768921},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.5685704350471497},{"id":"https://openalex.org/keywords/conjugacy-problem","display_name":"Conjugacy problem","score":0.5198229551315308},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.5150425434112549},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49822258949279785},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4900578260421753},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4722798764705658},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4656643867492676},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46038272976875305},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.44356393814086914},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.42861616611480713},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37618395686149597},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37591609358787537},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.3697059154510498},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3579387366771698},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26543307304382324},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19485631585121155}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7551635503768921},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.5685704350471497},{"id":"https://openalex.org/C2780526409","wikidata":"https://www.wikidata.org/wiki/Q5161137","display_name":"Conjugacy problem","level":3,"score":0.5198229551315308},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.5150425434112549},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49822258949279785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4900578260421753},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4722798764705658},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4656643867492676},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46038272976875305},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.44356393814086914},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.42861616611480713},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37618395686149597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37591609358787537},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3697059154510498},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3579387366771698},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26543307304382324},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19485631585121155},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2608628.2608642","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2608628.2608642","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W70771486","https://openalex.org/W129605913","https://openalex.org/W1484033543","https://openalex.org/W1490189322","https://openalex.org/W1505284964","https://openalex.org/W1708992577","https://openalex.org/W1963675724","https://openalex.org/W1968846124","https://openalex.org/W1971853570","https://openalex.org/W1977232610","https://openalex.org/W1988201431","https://openalex.org/W1990300406","https://openalex.org/W1995096030","https://openalex.org/W1995278772","https://openalex.org/W2009571139","https://openalex.org/W2011321017","https://openalex.org/W2017133739","https://openalex.org/W2019453185","https://openalex.org/W2022598306","https://openalex.org/W2052653988","https://openalex.org/W2059203263","https://openalex.org/W2060470576","https://openalex.org/W2066971229","https://openalex.org/W2129564013","https://openalex.org/W2148722937","https://openalex.org/W2261858229","https://openalex.org/W2570611167","https://openalex.org/W2962783919","https://openalex.org/W3102596717","https://openalex.org/W3105556237","https://openalex.org/W3106216040","https://openalex.org/W6665646251"],"related_works":["https://openalex.org/W183175452","https://openalex.org/W2949986374","https://openalex.org/W4300444073","https://openalex.org/W2503299372","https://openalex.org/W4245807727","https://openalex.org/W4297790051","https://openalex.org/W83582409","https://openalex.org/W2003487404","https://openalex.org/W2008191347","https://openalex.org/W2166341929"],"abstract_inverted_index":{"We":[0,17,27,52,105],"consider":[1],"three":[2],"important":[3],"and":[4,14,97,126,139],"well-studied":[5],"algorithmic":[6],"problems":[7],"in":[8,37,62,102],"group":[9,69],"theory:":[10],"the":[11,33,49,63,70,80,113],"word,":[12],"geodesic,":[13],"conjugacy":[15,50],"problem.":[16,51],"show":[18],"transfer":[19,45],"results":[20],"from":[21],"individual":[22],"groups":[23,75],"to":[24,79,141],"graph":[25,58,68],"products.":[26],"concentrate":[28],"on":[29,99],"logspace":[30],"complexity":[31,39],"because":[32],"challenge":[34],"is":[35,47,72],"actually":[36],"small":[38],"classes,":[40],"only.":[41],"The":[42],"most":[43],"difficult":[44],"result":[46,56,71],"for":[48,57,90],"have":[53],"a":[54,67],"general":[55],"products,":[59],"but":[60],"even":[61],"special":[64],"case":[65],"of":[66,82],"new.":[73],"Graph":[74],"are":[76,95,136],"closely":[77],"linked":[78],"theory":[81],"Mazurkiewicz":[83],"traces":[84],"which":[85],"form":[86],"an":[87],"algebraic":[88],"model":[89],"concurrent":[91],"processes.":[92],"Our":[93],"proofs":[94],"combinatorial":[96],"based":[98],"well-known":[100],"concepts":[101],"trace":[103],"theory.":[104,119],"also":[106],"use":[107],"rewriting":[108],"techniques":[109],"over":[110],"traces.":[111],"For":[112],"group-theoretical":[114,134],"part":[115],"we":[116,122,128],"apply":[117],"Bass-Serre":[118],"But":[120],"as":[121,127],"need":[123],"explicit":[124,138],"formulae":[125],"design":[129],"concrete":[130],"algorithms":[131],"all":[132],"our":[133],"calculations":[135],"completely":[137],"accessible":[140],"non-specialists.":[142]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}