{"id":"https://openalex.org/W1970144066","doi":"https://doi.org/10.1137/0405031","title":"Comparing Queues and Stacks As Machines for Laying Out Graphs","display_name":"Comparing Queues and Stacks As Machines for Laying Out Graphs","publication_year":1992,"publication_date":"1992-08-01","ids":{"openalex":"https://openalex.org/W1970144066","doi":"https://doi.org/10.1137/0405031","mag":"1970144066"},"language":"en","primary_location":{"id":"doi:10.1137/0405031","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0405031","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-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/A5057291575","display_name":"Lenwood S. Heath","orcid":"https://orcid.org/0000-0003-1608-431X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lenwood S. Heath","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110453378","display_name":"Frank Thomson Leighton","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Frank Thomson Leighton","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032954059","display_name":"Arnold L. Rosenberg","orcid":"https://orcid.org/0000-0002-1171-9323"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arnold L. Rosenberg","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":1.4329,"has_fulltext":false,"cited_by_count":135,"citation_normalized_percentile":{"value":0.77329692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"5","issue":"3","first_page":"398","last_page":"412"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9994999766349792,"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":0.9991999864578247,"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/combinatorics","display_name":"Combinatorics","score":0.6922743916511536},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.652034342288971},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5517034530639648},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5318436622619629},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4823153018951416},{"id":"https://openalex.org/keywords/stack","display_name":"Stack (abstract data type)","score":0.4254833161830902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3432469367980957},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09173157811164856}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6922743916511536},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.652034342288971},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5517034530639648},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5318436622619629},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4823153018951416},{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.4254833161830902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3432469367980957},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09173157811164856},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0405031","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0405031","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W45625111","https://openalex.org/W1967125711","https://openalex.org/W1987216097","https://openalex.org/W1998294201","https://openalex.org/W2017788080","https://openalex.org/W2028320740","https://openalex.org/W2044720418","https://openalex.org/W2047565880","https://openalex.org/W2074937107","https://openalex.org/W2166264168"],"related_works":["https://openalex.org/W2380576232","https://openalex.org/W2937054111","https://openalex.org/W2066223521","https://openalex.org/W2013178899","https://openalex.org/W373327546","https://openalex.org/W2321534397","https://openalex.org/W2058958858","https://openalex.org/W2148243540","https://openalex.org/W2077601556","https://openalex.org/W2139269857"],"abstract_inverted_index":{"The":[0,169],"relative":[1],"powers":[2],"of":[3,16,24,46,102,119,189,192,200,243,246,299],"queues":[4],"and":[5,38,85,111,157,180,229],"stacks":[6,122,258],"are":[7,27,66,105,138,302],"compared":[8],"as":[9],"mechanisms":[10],"for":[11,184,196,296],"laying":[12],"out":[13],"the":[14,25,47,52,64,103,120,125,136,190,244,252,297],"edges":[15,53,126],"a":[17,20,35,59,98,132,176,185,197,201,226,235,240,268],"graph.":[18],"In":[19,97,194],"k-queue":[21],"layout,":[22,100],"vertices":[23,65,101,137,191],"graph":[26,104,202,224,233],"placed":[28,106],"in":[29,107,239,288],"some":[30,108,293],"linear":[31,36,109,187],"order":[32,188],"(also":[33],"called":[34],"arrangement),":[37],"each":[39,56,112,129],"edge":[40,72,113,144],"is":[41,73,83,86,95,114,145,155,158,167,182,219,249],"assigned":[42,54,77,115,127,149],"to":[43,55,69,116,128,141],"exactly":[44,117],"one":[45,118],"k":[48,121],"queues,":[49,247],"so":[50,123],"that":[51,124,221,230,251],"queue":[57,78,90],"obey":[58,131],"first-in/first-out":[60],"(FIFO)":[61],"discipline.":[62,134],"As":[63,135],"scanned":[67,139],"left":[68,81,140,153],"right,":[70,142],"an":[71,143,263],"enqueued":[74],"on":[75,147],"its":[76,80,89,92,148,152,161,164],"when":[79,91,151,163],"endpoint":[82,94,154,166],"encountered":[84,156],"dequeued":[87],"from":[88,160],"right":[93,165],"encountered.":[96,168],"k-stack":[99],"order,":[110],"stack":[130,150,162,290],"last-in/first-out":[133],"pushed":[146],"popped":[159],"paper":[170],"has":[171,225,234,267],"three":[172],"main":[173],"results.":[174],"First,":[175],"tradeoff":[177],"between":[178],"queuenumber":[179,298],"stacknumber":[181,209],"shown":[183,220,250],"fixed":[186],"G.":[193],"particular,":[195],"fixed-order":[198],"layout":[199,228,274],"G,":[203],"\\[":[204],"{\\text{queuenumber":[205],"}}":[206,210],"\\times":[207],"{\\text{":[208,212],"\\geq":[211],"cutwidth/valence":[213],"}}(":[214],"G":[215],").\\]":[216],"Second,":[217],"it":[218,248],"every":[222,231],"1-queue":[223],"2-stack":[227],"1-stack":[232],"2-queue":[236],"layout.":[237,291],"Third,":[238],"surprising":[241],"display":[242],"power":[245],"ternary":[253,265],"hypercube":[254,266],"requires":[255,276],"exponentially":[256],"more":[257],"than":[259],"queues.":[260],"More":[261],"precisely,":[262],"N-vertex":[264],"$(":[269],"2\\log":[270],"_3":[271],"N":[272],")$-queue":[273],"but":[275],"$\\Omega":[277],"(":[278],"N^{1/9":[279],"-":[280],"\\epsilon":[281],"}":[282],")$":[283],"stacks,":[284],"$\\epsilon":[285],">":[286],"0$,":[287],"any":[289],"Also,":[292],"asymptotic":[294],"bounds":[295],"bounded-valence":[300],"graphs":[301],"derived.":[303]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-12T21:12:35.861297","created_date":"2025-10-10T00:00:00"}
