{"id":"https://openalex.org/W2076318470","doi":"https://doi.org/10.1137/0209038","title":"The Pebbling Problem is Complete in Polynomial Space","display_name":"The Pebbling Problem is Complete in Polynomial Space","publication_year":1980,"publication_date":"1980-08-01","ids":{"openalex":"https://openalex.org/W2076318470","doi":"https://doi.org/10.1137/0209038","mag":"2076318470"},"language":"en","primary_location":{"id":"doi:10.1137/0209038","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0209038","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","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/A5108223550","display_name":"John R. Gilbert","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"John R. Gilbert","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023556977","display_name":"Thomas Lengauer","orcid":"https://orcid.org/0000-0003-3801-2640"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas Lengauer","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5051027549","display_name":"Robert E. Tarjan","orcid":"https://orcid.org/0000-0001-7505-5768"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Endre Tarjan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108223550"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.1262,"has_fulltext":false,"cited_by_count":82,"citation_normalized_percentile":{"value":0.96233683,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"9","issue":"3","first_page":"513","last_page":"524"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9986000061035156,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/alternation","display_name":"Alternation (linguistics)","score":0.8347733020782471},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7015523314476013},{"id":"https://openalex.org/keywords/np-complete","display_name":"NP-complete","score":0.6588937044143677},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.629909098148346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6284753084182739},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5180235505104065},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5122658610343933},{"id":"https://openalex.org/keywords/pspace","display_name":"PSPACE","score":0.49862051010131836},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45690858364105225},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.4149882197380066},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.3519662022590637},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.3410683870315552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3098951578140259},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22561201453208923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05258473753929138}],"concepts":[{"id":"https://openalex.org/C26826806","wikidata":"https://www.wikidata.org/wiki/Q438358","display_name":"Alternation (linguistics)","level":2,"score":0.8347733020782471},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7015523314476013},{"id":"https://openalex.org/C122749075","wikidata":"https://www.wikidata.org/wiki/Q215206","display_name":"NP-complete","level":3,"score":0.6588937044143677},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.629909098148346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6284753084182739},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5180235505104065},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5122658610343933},{"id":"https://openalex.org/C197685441","wikidata":"https://www.wikidata.org/wiki/Q500716","display_name":"PSPACE","level":3,"score":0.49862051010131836},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45690858364105225},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.4149882197380066},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3519662022590637},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3410683870315552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3098951578140259},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22561201453208923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05258473753929138},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0209038","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0209038","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","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":9,"referenced_works":["https://openalex.org/W1511654703","https://openalex.org/W1838918432","https://openalex.org/W1965172764","https://openalex.org/W1982129592","https://openalex.org/W2056304107","https://openalex.org/W2062934582","https://openalex.org/W2063264061","https://openalex.org/W2067326774","https://openalex.org/W2096112012"],"related_works":["https://openalex.org/W3125214380","https://openalex.org/W2241580460","https://openalex.org/W209374521","https://openalex.org/W4297847959","https://openalex.org/W2963241423","https://openalex.org/W2739011940","https://openalex.org/W2952010981","https://openalex.org/W4300882725","https://openalex.org/W4299433776","https://openalex.org/W4306703264"],"abstract_inverted_index":{"In":[0],"this":[1,21],"paper":[2],"we":[3],"study":[4],"a":[5,30,45,57],"pebbling":[6,51],"problem":[7,22,40,52,60],"that":[8],"models":[9],"the":[10,38],"storage":[11],"requirements":[12],"of":[13,16,47,56],"various":[14],"kinds":[15],"computation.":[17],"Sethi":[18],"has":[19,28],"shown":[20,29],"to":[23,32],"be":[24,33],"$NP$-hard":[25],"and":[26],"Lingas":[27],"generalization":[31],"P-space":[34,41,58],"complete.":[35],"We":[36],"prove":[37],"original":[39],"complete":[42,59],"by":[43],"using":[44],"modification":[46],"Lingas\u2019s":[48],"proof.":[49],"The":[50],"is":[53],"an":[54],"example":[55],"not":[61],"exhibiting":[62],"any":[63],"obvious":[64],"quantifier":[65],"alternation.":[66]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
