{"id":"https://openalex.org/W1665459348","doi":"https://doi.org/10.1007/978-3-642-14455-4_21","title":"Compressed Conjugacy and the Word Problem for Outer Automorphism Groups of Graph Groups","display_name":"Compressed Conjugacy and the Word Problem for Outer Automorphism Groups of Graph Groups","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1665459348","doi":"https://doi.org/10.1007/978-3-642-14455-4_21","mag":"1665459348"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-14455-4_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14455-4_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5026367573","display_name":"Niko Haubold","orcid":null},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Niko Haubold","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005500210","display_name":"Markus Lohrey","orcid":"https://orcid.org/0000-0002-4680-7198"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Lohrey","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015279693","display_name":"Christian Mathissen","orcid":null},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Mathissen","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"218","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9988999962806702,"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":0.9988999962806702,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9987999796867371,"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/T10849","display_name":"Finite Group Theory Research","score":0.9890000224113464,"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/conjugacy-problem","display_name":"Conjugacy problem","score":0.8882412910461426},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.7731781005859375},{"id":"https://openalex.org/keywords/word-problem","display_name":"Word problem (mathematics education)","score":0.5488227605819702},{"id":"https://openalex.org/keywords/graph-automorphism","display_name":"Graph automorphism","score":0.5342261791229248},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5328823328018188},{"id":"https://openalex.org/keywords/outer-automorphism-group","display_name":"Outer automorphism group","score":0.5126715898513794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48630842566490173},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.4660692512989044},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.44844797253608704},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4461650252342224},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41870737075805664},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.38981395959854126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36899638175964355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3331010043621063},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.2551671266555786},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.20344066619873047},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12055197358131409}],"concepts":[{"id":"https://openalex.org/C2780526409","wikidata":"https://www.wikidata.org/wiki/Q5161137","display_name":"Conjugacy problem","level":3,"score":0.8882412910461426},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.7731781005859375},{"id":"https://openalex.org/C90988201","wikidata":"https://www.wikidata.org/wiki/Q255912","display_name":"Word problem (mathematics education)","level":2,"score":0.5488227605819702},{"id":"https://openalex.org/C6049932","wikidata":"https://www.wikidata.org/wiki/Q834981","display_name":"Graph automorphism","level":5,"score":0.5342261791229248},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5328823328018188},{"id":"https://openalex.org/C7619685","wikidata":"https://www.wikidata.org/wiki/Q3630548","display_name":"Outer automorphism group","level":4,"score":0.5126715898513794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48630842566490173},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.4660692512989044},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.44844797253608704},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4461650252342224},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41870737075805664},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.38981395959854126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36899638175964355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3331010043621063},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.2551671266555786},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.20344066619873047},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12055197358131409},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-14455-4_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14455-4_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W657518228","https://openalex.org/W1486245824","https://openalex.org/W1496412704","https://openalex.org/W1510722254","https://openalex.org/W1516116134","https://openalex.org/W1546860696","https://openalex.org/W1556583142","https://openalex.org/W1557759443","https://openalex.org/W1563408602","https://openalex.org/W1597956802","https://openalex.org/W1605354378","https://openalex.org/W1708992577","https://openalex.org/W1987022760","https://openalex.org/W2001042198","https://openalex.org/W2024522546","https://openalex.org/W2050007657","https://openalex.org/W2067672042","https://openalex.org/W2076505256","https://openalex.org/W2089280873","https://openalex.org/W2094424432","https://openalex.org/W2104480106","https://openalex.org/W2120276971","https://openalex.org/W2121978727","https://openalex.org/W2325416986","https://openalex.org/W2333395501","https://openalex.org/W2492742487","https://openalex.org/W3085766221","https://openalex.org/W3099745834","https://openalex.org/W3105798967","https://openalex.org/W4212805042","https://openalex.org/W4285719527","https://openalex.org/W4300790099"],"related_works":["https://openalex.org/W2886958581","https://openalex.org/W183175452","https://openalex.org/W2950120039","https://openalex.org/W1483478581","https://openalex.org/W2156285104","https://openalex.org/W2318519661","https://openalex.org/W1573687423","https://openalex.org/W1665459348","https://openalex.org/W4321146144","https://openalex.org/W2951322003"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}