{"id":"https://openalex.org/W2001744913","doi":"https://doi.org/10.1109/wiopt.2009.5291593","title":"Emergence of algorithmically hard phases in transportation networks","display_name":"Emergence of algorithmically hard phases in transportation networks","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2001744913","doi":"https://doi.org/10.1109/wiopt.2009.5291593","mag":"2001744913"},"language":"en","primary_location":{"id":"doi:10.1109/wiopt.2009.5291593","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wiopt.2009.5291593","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks","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/A5089167722","display_name":"Chi Ho Yeung","orcid":"https://orcid.org/0000-0001-6207-7597"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"C.H. Yeung","raw_affiliation_strings":["Department of Physics, Hong Kong University of Science and Technology, Hong Kong, China","Department of Physics, The Hong Kong University of Science and Technology, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Department of Physics, The Hong Kong University of Science and Technology, China","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081204536","display_name":"K. Y. Michael Wong","orcid":"https://orcid.org/0000-0002-3078-4577"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"K.Y.M. Wong","raw_affiliation_strings":["Department of Physics, Hong Kong University of Science and Technology, Hong Kong, China","Department of Physics, The Hong Kong University of Science and Technology, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Department of Physics, The Hong Kong University of Science and Technology, China","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089167722"],"corresponding_institution_ids":["https://openalex.org/I200769079"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08242706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9955999851226807,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9954000115394592,"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/computer-science","display_name":"Computer science","score":0.5875359177589417},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5301951766014099},{"id":"https://openalex.org/keywords/frustration","display_name":"Frustration","score":0.5280507206916809},{"id":"https://openalex.org/keywords/economic-shortage","display_name":"Economic shortage","score":0.5213754773139954},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.47687941789627075},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3471827805042267},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.18635708093643188},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1708337366580963}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5875359177589417},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5301951766014099},{"id":"https://openalex.org/C38710091","wikidata":"https://www.wikidata.org/wiki/Q192242","display_name":"Frustration","level":2,"score":0.5280507206916809},{"id":"https://openalex.org/C194051981","wikidata":"https://www.wikidata.org/wiki/Q1337691","display_name":"Economic shortage","level":3,"score":0.5213754773139954},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.47687941789627075},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3471827805042267},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.18635708093643188},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1708337366580963},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C2778137410","wikidata":"https://www.wikidata.org/wiki/Q2732820","display_name":"Government (linguistics)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wiopt.2009.5291593","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wiopt.2009.5291593","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks","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":22,"referenced_works":["https://openalex.org/W67367170","https://openalex.org/W1479694349","https://openalex.org/W1510746324","https://openalex.org/W1518885151","https://openalex.org/W1527520754","https://openalex.org/W1607198972","https://openalex.org/W1650993530","https://openalex.org/W1854875838","https://openalex.org/W1971565000","https://openalex.org/W1980130379","https://openalex.org/W2015199250","https://openalex.org/W2017127020","https://openalex.org/W2022083710","https://openalex.org/W2023463028","https://openalex.org/W2051814234","https://openalex.org/W2066356256","https://openalex.org/W2073755091","https://openalex.org/W2078213222","https://openalex.org/W2123184601","https://openalex.org/W3138265894","https://openalex.org/W3140968660","https://openalex.org/W4206502013"],"related_works":["https://openalex.org/W2380568010","https://openalex.org/W2370937237","https://openalex.org/W921996089","https://openalex.org/W2364246437","https://openalex.org/W2386183613","https://openalex.org/W2348739292","https://openalex.org/W2100120627","https://openalex.org/W2374204729","https://openalex.org/W2057412136","https://openalex.org/W2375893883"],"abstract_inverted_index":{"We":[0],"study":[1],"a":[2],"model":[3],"of":[4,14,40,50,86],"transportation":[5],"networks":[6],"with":[7],"nonlinear":[8],"elements":[9],"which":[10],"represent":[11],"local":[12],"shortage":[13],"resources.":[15],"Frustration":[16],"arises":[17],"from":[18],"competition":[19],"among":[20],"the":[21,27,37,54,62,84],"nodes":[22,88],"to":[23,59],"become":[24],"satisfied.":[25],"When":[26,71],"initial":[28,72],"resources":[29,41,73],"are":[30,45,69,74],"uniform,":[31],"algorithmically":[32,78],"hard":[33,79],"regimes":[34,44,80],"emerge":[35,82],"when":[36,83],"average":[38],"availability":[39],"increases.":[42,89],"These":[43],"characterized":[46],"by":[47],"discrete":[48],"fractions":[49],"satisfied":[51],"nodes,":[52],"resembling":[53],"Devil's":[55],"staircase.":[56],"Behavior":[57],"similar":[58],"those":[60],"in":[61],"vertex":[63],"cover":[64],"or":[65],"close":[66],"packing":[67],"problems":[68],"found.":[70],"bimodally":[75],"distributed,":[76],"such":[77],"also":[81],"fraction":[85],"rich":[87]},"counts_by_year":[],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}