{"id":"https://openalex.org/W2089872375","doi":"https://doi.org/10.1080/00207161003631893","title":"Absorbing random walks and the NAE2SAT problem","display_name":"Absorbing random walks and the NAE2SAT problem","publication_year":2010,"publication_date":"2010-12-13","ids":{"openalex":"https://openalex.org/W2089872375","doi":"https://doi.org/10.1080/00207161003631893","mag":"2089872375"},"language":"en","primary_location":{"id":"doi:10.1080/00207161003631893","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207161003631893","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5050337397","display_name":"K. Subramani","orcid":"https://orcid.org/0000-0001-5821-5117"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"K. Subramani","raw_affiliation_strings":["LDCSEE , West Virginia University , Morgantown, WV, USA","LDCSEE, West Virginia University, Morgantown, WV, USA"],"affiliations":[{"raw_affiliation_string":"LDCSEE , West Virginia University , Morgantown, WV, USA","institution_ids":["https://openalex.org/I12097938"]},{"raw_affiliation_string":"LDCSEE, West Virginia University, Morgantown, WV, USA","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065142289","display_name":"Xiaofeng Gu","orcid":"https://orcid.org/0000-0003-2725-2411"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaofeng Gu","raw_affiliation_strings":["Department of Mathematics , West Virginia University , Morgantown, WV, USA","Department of Mathematics, West Virginia University, Morgantown, WV, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , West Virginia University , Morgantown, WV, USA","institution_ids":["https://openalex.org/I12097938"]},{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV, USA","institution_ids":["https://openalex.org/I12097938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050337397"],"corresponding_institution_ids":["https://openalex.org/I12097938"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.12660453,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"88","issue":"3","first_page":"452","last_page":"467"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/literal","display_name":"Literal (mathematical logic)","score":0.6397933959960938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.617030680179596},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.598227858543396},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5836907625198364},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.5518772602081299},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5366285443305969},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5248008966445923},{"id":"https://openalex.org/keywords/deterministic-algorithm","display_name":"Deterministic algorithm","score":0.5160396099090576},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5078778862953186},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.504062294960022},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.46068763732910156},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42458462715148926},{"id":"https://openalex.org/keywords/simplicity","display_name":"Simplicity","score":0.4121888279914856},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38900965452194214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29939818382263184},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1066337525844574}],"concepts":[{"id":"https://openalex.org/C2780882242","wikidata":"https://www.wikidata.org/wiki/Q14235582","display_name":"Literal (mathematical logic)","level":2,"score":0.6397933959960938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.617030680179596},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.598227858543396},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5836907625198364},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.5518772602081299},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5366285443305969},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5248008966445923},{"id":"https://openalex.org/C13533509","wikidata":"https://www.wikidata.org/wiki/Q1064349","display_name":"Deterministic algorithm","level":2,"score":0.5160396099090576},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5078778862953186},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.504062294960022},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.46068763732910156},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42458462715148926},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.4121888279914856},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38900965452194214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29939818382263184},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1066337525844574},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207161003631893","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207161003631893","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.4699999988079071,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W249661317","https://openalex.org/W282603215","https://openalex.org/W1507596338","https://openalex.org/W1510146244","https://openalex.org/W1524979237","https://openalex.org/W1594413440","https://openalex.org/W1820801893","https://openalex.org/W2011039300","https://openalex.org/W2019363670","https://openalex.org/W2026105979","https://openalex.org/W2031823362","https://openalex.org/W2039302045","https://openalex.org/W2049136377","https://openalex.org/W2082757215","https://openalex.org/W2102140349","https://openalex.org/W2126442135","https://openalex.org/W2134514766","https://openalex.org/W2138304862","https://openalex.org/W2149906774","https://openalex.org/W2156184725","https://openalex.org/W2166162093","https://openalex.org/W2293273465","https://openalex.org/W2295428206","https://openalex.org/W4213009134","https://openalex.org/W4231916799","https://openalex.org/W4238893454","https://openalex.org/W4242246215","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2039120963","https://openalex.org/W2174440985","https://openalex.org/W2112526268","https://openalex.org/W1964089073","https://openalex.org/W2011643166","https://openalex.org/W4243213822","https://openalex.org/W2279830512","https://openalex.org/W2119226317","https://openalex.org/W2058681277","https://openalex.org/W2526609438"],"abstract_inverted_index":{"In":[0],"this":[1,280,313],"paper,":[2,281],"we":[3,86,196,296],"propose":[4],"a":[5,177,217,231,249,259,272,299,326],"simple":[6],"randomized":[7,239,269],"algorithm":[8,17,51,188,227,240],"for":[9,183,271,288],"the":[10,16,19,28,33,46,56,62,69,77,80,95,129,137,161,199,210,223,246,276,289,309,318,333],"NAE2SAT":[11,29,184,200,303],"problem.":[12,132],"The":[13,238],"analysis":[14,67],"of":[15,21,48,58,79,125,139,163,179,187,248,293,302,332,339],"uses":[18],"theory":[20],"symmetric,":[22],"absorbing":[23],"random":[24],"walks.":[25],"Inasmuch":[26],"as":[27,185,275],"problem":[30,82,201],"is":[31,52,76,107,134,148,234,261,304],"in":[32,84,89,103,112,208,245,279,312,320,330],"complexity":[34],"class":[35],"L":[36,41],"(Deterministic":[37],"Logarithmic":[38],"Space)":[39],"and":[40,61,116,152,156,251],"\u2286":[42,44],"P":[43],"RP,":[45],"existence":[47],"such":[49,274],"an":[50,90,108,203,253],"not":[53,229],"surprising.":[54],"However,":[55],"simplicity":[57],"our":[59,226,294],"approach":[60],"insights":[63],"revealed":[64],"by":[65,120],"its":[66,113,126],"make":[68],"current":[70],"study":[71],"worthwhile.":[72],"Not-all-equal":[73],"SAT":[74,110,121],"(NAESAT)":[75],"variant":[78,111,138,301],"satisfiability":[81],"(SAT),":[83],"which":[85],"are":[87,315],"interested":[88],"assignment":[91,233],"that":[92,136,198,213,225,267,298,308],"satisfies":[93],"all":[94],"clauses,":[96],"but":[97],"falsifies":[98],"at":[99,235],"least":[100],"one":[101,277],"literal":[102],"each":[104],"clause.":[105],"NAESAT":[106,140],"interesting":[109,254],"own":[114],"right":[115],"has":[117],"been":[118],"studied":[119],"theoreticians,":[122],"on":[123,337],"account":[124],"connections":[127],"to":[128,160,175,284],"graph":[130,260],"colouring":[131],"It":[133,263],"well-known":[135],"with":[141],"exactly":[142],"three":[143],"literals":[144],"per":[145],"clause":[146],"(NAE3SAT)":[147],"NP-complete":[149],"[M.R.":[150],"Garey":[151],"D.S.":[153],"Johnson,":[154,192],"Computers":[155],"Intractability:":[157],"A":[158],"Guide":[159],"Theory":[162],"NP-Completeness,":[164],"W.":[165],"H.":[166],"Freeman":[167],"Company,":[168],"San":[169,342],"Francisco,":[170],"1979].":[171],"Likewise,":[172],"there":[173],"seem":[174],"be":[176,265],"number":[178],"polynomial":[180],"time":[181],"algorithms":[182,270,287],"part":[186,292],"design":[189],"folklore":[190],"[D.S.":[191],"Personal":[193],"Communication].":[194],"Here":[195],"show":[197],"admits":[202],"extremely":[204],"simple,":[205],"literal-flipping":[206],"algorithm,":[207],"precisely":[209],"same":[211],"way":[212],"2SAT":[214],"does.":[215],"On":[216,324],"satisfiable":[218],"instance":[219],"involving":[220],"n":[221],"variables,":[222],"probability":[224],"does":[228],"find":[230],"satisfying":[232,327],"most":[236],"1/24.":[237],"takes":[241],"O(1)":[242],"extra":[243],"space,":[244],"presence":[247],"verifier":[250],"provides":[252],"insight":[255],"into":[256],"checking":[257],"whether":[258],"bipartite.":[262],"must":[264],"noted":[266],"space-parsimonious":[268],"problem,":[273],"proposed":[278],"invariably":[282],"lead":[283],"error\u2013bounded,":[285],"online":[286],"same.":[290],"As":[291],"analysis,":[295],"argue":[297],"restricted":[300],"L-complete.":[305],"We":[306],"note":[307],"bounds":[310],"derived":[311],"paper":[314],"sharper":[316],"than":[317],"ones":[319],"Papadimitriou":[321],"[C.H.":[322],"Papadimitriou,":[323],"selecting":[325],"truth":[328],"assignment,":[329],"Proceedings":[331],"32nd":[334],"Annual":[335],"Symposium":[336],"Foundations":[338],"Computer":[340],"Science,":[341],"Juan,":[343],"Puerto":[344],"Rico,":[345],"1\u20134":[346],"October":[347],"1991,":[348,354],"IEEE,":[349,351],"ed.,":[350],"Washington,":[352],"DC,":[353],"pp.":[355],"163\u2013169].":[356]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}