{"id":"https://openalex.org/W2141371170","doi":"https://doi.org/10.1145/1989493.1989510","title":"Brief announcement","display_name":"Brief announcement","publication_year":2011,"publication_date":"2011-06-04","ids":{"openalex":"https://openalex.org/W2141371170","doi":"https://doi.org/10.1145/1989493.1989510","mag":"2141371170"},"language":"en","primary_location":{"id":"doi:10.1145/1989493.1989510","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1989493.1989510","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-third annual ACM symposium on Parallelism in algorithms and architectures","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/A5071640409","display_name":"Bernadette Charron-Bost","orcid":"https://orcid.org/0009-0007-0132-8138"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernadette Charron-Bost","raw_affiliation_strings":["Ecole polytechnique, Palaiseau, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049530550","display_name":"Matthias F\u00fcgger","orcid":"https://orcid.org/0000-0001-5765-0301"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Matthias Fuegger","raw_affiliation_strings":["TU Wien, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014894919","display_name":"Jennifer L. Welch","orcid":"https://orcid.org/0000-0001-7164-1436"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jennifer L. Welch","raw_affiliation_strings":["Texas A&amp;M University, College Station, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&amp;M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012763670","display_name":"Josef Widder","orcid":"https://orcid.org/0000-0003-2795-611X"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Josef Widder","raw_affiliation_strings":["Texas A&amp;M University, College Station, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&amp;M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13288911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"129","last_page":"130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/time-complexity","display_name":"Time complexity","score":0.6028454899787903},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5979843735694885},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.5730291604995728},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.564667284488678},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5345638990402222},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.474398136138916},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46785953640937805},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4480918049812317},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.44001099467277527},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42258235812187195},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3492507338523865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29948681592941284}],"concepts":[{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.6028454899787903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5979843735694885},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.5730291604995728},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.564667284488678},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5345638990402222},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.474398136138916},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46785953640937805},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4480918049812317},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.44001099467277527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42258235812187195},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3492507338523865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29948681592941284},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1989493.1989510","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1989493.1989510","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-third annual ACM symposium on Parallelism in algorithms and architectures","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":8,"referenced_works":["https://openalex.org/W52723544","https://openalex.org/W1602980496","https://openalex.org/W1982213163","https://openalex.org/W2072754757","https://openalex.org/W2105772303","https://openalex.org/W2122003969","https://openalex.org/W2158206072","https://openalex.org/W6602084905"],"related_works":["https://openalex.org/W4302345037","https://openalex.org/W2731094954","https://openalex.org/W2789273959","https://openalex.org/W1998712144","https://openalex.org/W2952978498","https://openalex.org/W4292730466","https://openalex.org/W2951616510","https://openalex.org/W3122467582","https://openalex.org/W2170725231","https://openalex.org/W961142965"],"abstract_inverted_index":{"Although":[0],"substantial":[1],"analysis":[2],"has":[3],"been":[4,31],"done":[5],"on":[6],"the":[7,40,45,54,57,71,96],"Full":[8],"Reversal":[9],"(FR)":[10],"routing":[11],"algorithm":[12],"since":[13],"its":[14,26,28],"introduction":[15],"by":[16],"Gafni":[17],"and":[18,87],"Bertsekas":[19],"in":[20,64,95],"1981,":[21],"a":[22,84],"complete":[23],"understanding":[24],"of":[25,48,61,66,70,81],"functioning---especially":[27],"time":[29,46,59],"complexity---has":[30],"missing":[32],"until":[33],"now.":[34],"In":[35],"this":[36,91],"paper,":[37],"we":[38],"derive":[39],"first":[41],"exact":[42,58],"formula":[43,55],"for":[44],"complexity":[47,60],"FR:":[49],"given":[50],"any":[51,62],"(acyclic)":[52],"graph":[53],"provides":[56],"node":[63],"terms":[65],"some":[67],"simple":[68],"properties":[69],"graph.":[72],"Our":[73],"major":[74],"technical":[75],"insight":[76],"is":[77,93],"to":[78,88],"describe":[79],"executions":[80],"FR":[82],"as":[83],"dynamical":[85],"system,":[86],"observe":[89],"that":[90],"system":[92],"linear":[94],"min-plus":[97],"algebra.":[98]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
