{"id":"https://openalex.org/W1975951388","doi":"https://doi.org/10.1002/jgt.3190150204","title":"Updating the hamiltonian problem\u2014A survey","display_name":"Updating the hamiltonian problem\u2014A survey","publication_year":1991,"publication_date":"1991-06-01","ids":{"openalex":"https://openalex.org/W1975951388","doi":"https://doi.org/10.1002/jgt.3190150204","mag":"1975951388"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190150204","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190150204","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5077689134","display_name":"Ronald J. Gould","orcid":"https://orcid.org/0000-0003-0040-9511"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ronald J. Gould","raw_affiliation_strings":["Department of Mathematics And Computer Science Emory University Atlanta, Georgia","Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics And Computer Science Emory University Atlanta, Georgia","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077689134"],"corresponding_institution_ids":["https://openalex.org/I150468666"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":4.0901,"has_fulltext":false,"cited_by_count":148,"citation_normalized_percentile":{"value":0.94434539,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"15","issue":"2","first_page":"121","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.8316011428833008},{"id":"https://openalex.org/keywords/hamiltonian-path-problem","display_name":"Hamiltonian path problem","score":0.7235292792320251},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6704858541488647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5748847723007202},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.574616014957428},{"id":"https://openalex.org/keywords/pancyclic-graph","display_name":"Pancyclic graph","score":0.508766233921051},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40758806467056274},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3283916711807251},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.26997318863868713},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.17710649967193604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.08925172686576843}],"concepts":[{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.8316011428833008},{"id":"https://openalex.org/C104737047","wikidata":"https://www.wikidata.org/wiki/Q987652","display_name":"Hamiltonian path problem","level":4,"score":0.7235292792320251},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6704858541488647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5748847723007202},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.574616014957428},{"id":"https://openalex.org/C166911692","wikidata":"https://www.wikidata.org/wiki/Q7130424","display_name":"Pancyclic graph","level":5,"score":0.508766233921051},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40758806467056274},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3283916711807251},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.26997318863868713},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.17710649967193604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.08925172686576843}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1002/jgt.3190150204","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190150204","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.85.8507","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.85.8507","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathcs.emory.edu/~rg/updating.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.887.22","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.887.22","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.zib.de/groetschel/teaching/WS1314/Hamiltonian%20graphs-an%20update.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.894.8027","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.894.8027","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.researchgate.net/profile/Ronald_Gould/publication/248238611_Updating_the_hamiltonian_problemA_survey/links/0c96053a9a2350e81c000000.pdf?origin%3Dpublication_detail","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":232,"referenced_works":["https://openalex.org/W18131848","https://openalex.org/W21310410","https://openalex.org/W27647189","https://openalex.org/W34410737","https://openalex.org/W41844353","https://openalex.org/W57328661","https://openalex.org/W57749143","https://openalex.org/W61042606","https://openalex.org/W62558605","https://openalex.org/W72267390","https://openalex.org/W91580801","https://openalex.org/W106392080","https://openalex.org/W115807301","https://openalex.org/W120996398","https://openalex.org/W148062771","https://openalex.org/W165739782","https://openalex.org/W166449228","https://openalex.org/W188017210","https://openalex.org/W249091067","https://openalex.org/W307896644","https://openalex.org/W313151841","https://openalex.org/W363964880","https://openalex.org/W383280551","https://openalex.org/W953546728","https://openalex.org/W1019012374","https://openalex.org/W1030363470","https://openalex.org/W1448923136","https://openalex.org/W1484040084","https://openalex.org/W1495591881","https://openalex.org/W1504855246","https://openalex.org/W1511255594","https://openalex.org/W1517929766","https://openalex.org/W1569752386","https://openalex.org/W1801255175","https://openalex.org/W1909115871","https://openalex.org/W1964236046","https://openalex.org/W1964505054","https://openalex.org/W1967318939","https://openalex.org/W1967350548","https://openalex.org/W1967687235","https://openalex.org/W1969138958","https://openalex.org/W1970713987","https://openalex.org/W1971367602","https://openalex.org/W1972252428","https://openalex.org/W1974950179","https://openalex.org/W1975099798","https://openalex.org/W1976286395","https://openalex.org/W1976922985","https://openalex.org/W1978165383","https://openalex.org/W1980189102","https://openalex.org/W1981038753","https://openalex.org/W1981583245","https://openalex.org/W1983545676","https://openalex.org/W1984327852","https://openalex.org/W1984904218","https://openalex.org/W1985580131","https://openalex.org/W1986588269","https://openalex.org/W1987331022","https://openalex.org/W1988048939","https://openalex.org/W1988175779","https://openalex.org/W1989780696","https://openalex.org/W1990901252","https://openalex.org/W1991927950","https://openalex.org/W1993252920","https://openalex.org/W1993348640","https://openalex.org/W1993983935","https://openalex.org/W1994661668","https://openalex.org/W1995336645","https://openalex.org/W1995621089","https://openalex.org/W1996277976","https://openalex.org/W1996675574","https://openalex.org/W1998152641","https://openalex.org/W1998536346","https://openalex.org/W1998720346","https://openalex.org/W2000432016","https://openalex.org/W2000467025","https://openalex.org/W2001832252","https://openalex.org/W2003252018","https://openalex.org/W2003376008","https://openalex.org/W2003995429","https://openalex.org/W2004025059","https://openalex.org/W2005741846","https://openalex.org/W2005906639","https://openalex.org/W2006711703","https://openalex.org/W2007252337","https://openalex.org/W2007310910","https://openalex.org/W2008208796","https://openalex.org/W2008447568","https://openalex.org/W2008813154","https://openalex.org/W2008931300","https://openalex.org/W2009232680","https://openalex.org/W2009684378","https://openalex.org/W2012463371","https://openalex.org/W2012473793","https://openalex.org/W2012772283","https://openalex.org/W2013151284","https://openalex.org/W2015468112","https://openalex.org/W2016177335","https://openalex.org/W2016431111","https://openalex.org/W2016615414","https://openalex.org/W2017777628","https://openalex.org/W2019698871","https://openalex.org/W2022211941","https://openalex.org/W2024832813","https://openalex.org/W2025388385","https://openalex.org/W2026915525","https://openalex.org/W2028413050","https://openalex.org/W2030103955","https://openalex.org/W2030151166","https://openalex.org/W2030429728","https://openalex.org/W2030734685","https://openalex.org/W2031698567","https://openalex.org/W2033782833","https://openalex.org/W2034844361","https://openalex.org/W2035089435","https://openalex.org/W2035215684","https://openalex.org/W2036818292","https://openalex.org/W2037189698","https://openalex.org/W2037906899","https://openalex.org/W2039505757","https://openalex.org/W2039635759","https://openalex.org/W2039841693","https://openalex.org/W2041298209","https://openalex.org/W2042483675","https://openalex.org/W2042591962","https://openalex.org/W2043193842","https://openalex.org/W2043680284","https://openalex.org/W2044467672","https://openalex.org/W2045261535","https://openalex.org/W2045412396","https://openalex.org/W2046269186","https://openalex.org/W2046452920","https://openalex.org/W2047730394","https://openalex.org/W2049285519","https://openalex.org/W2049783744","https://openalex.org/W2050065904","https://openalex.org/W2050215068","https://openalex.org/W2052298978","https://openalex.org/W2052359065","https://openalex.org/W2053012828","https://openalex.org/W2054091257","https://openalex.org/W2054595744","https://openalex.org/W2056002585","https://openalex.org/W2057568938","https://openalex.org/W2058691362","https://openalex.org/W2059065727","https://openalex.org/W2059599164","https://openalex.org/W2059884685","https://openalex.org/W2060824642","https://openalex.org/W2061496873","https://openalex.org/W2063473349","https://openalex.org/W2063984294","https://openalex.org/W2065748238","https://openalex.org/W2066182228","https://openalex.org/W2066445698","https://openalex.org/W2068129195","https://openalex.org/W2069905179","https://openalex.org/W2071896207","https://openalex.org/W2072754836","https://openalex.org/W2073389852","https://openalex.org/W2074710925","https://openalex.org/W2076025721","https://openalex.org/W2077099816","https://openalex.org/W2077560266","https://openalex.org/W2081063556","https://openalex.org/W2081545512","https://openalex.org/W2082310299","https://openalex.org/W2083584217","https://openalex.org/W2083864191","https://openalex.org/W2084074102","https://openalex.org/W2084408260","https://openalex.org/W2085719367","https://openalex.org/W2086027750","https://openalex.org/W2086229267","https://openalex.org/W2088096994","https://openalex.org/W2090700571","https://openalex.org/W2092365225","https://openalex.org/W2093251602","https://openalex.org/W2093833934","https://openalex.org/W2097098760","https://openalex.org/W2100057426","https://openalex.org/W2112272543","https://openalex.org/W2113489007","https://openalex.org/W2114380191","https://openalex.org/W2120065556","https://openalex.org/W2123441314","https://openalex.org/W2124155973","https://openalex.org/W2125337995","https://openalex.org/W2132392028","https://openalex.org/W2136803828","https://openalex.org/W2137573762","https://openalex.org/W2149745356","https://openalex.org/W2151112199","https://openalex.org/W2155943357","https://openalex.org/W2157737769","https://openalex.org/W2162027667","https://openalex.org/W2163708037","https://openalex.org/W2316894236","https://openalex.org/W2319158417","https://openalex.org/W2319336783","https://openalex.org/W2325549148","https://openalex.org/W2329699090","https://openalex.org/W2332735056","https://openalex.org/W2335057355","https://openalex.org/W2362876159","https://openalex.org/W2391491013","https://openalex.org/W2404911027","https://openalex.org/W2530056368","https://openalex.org/W2541103350","https://openalex.org/W2576233014","https://openalex.org/W2607256328","https://openalex.org/W2612978016","https://openalex.org/W2622381546","https://openalex.org/W2733591164","https://openalex.org/W2744927613","https://openalex.org/W2746272674","https://openalex.org/W2905110430","https://openalex.org/W2917646739","https://openalex.org/W2952923218","https://openalex.org/W2985590381","https://openalex.org/W2989915777","https://openalex.org/W3084987570","https://openalex.org/W3104952918","https://openalex.org/W4210766026","https://openalex.org/W4233951178","https://openalex.org/W4285719527","https://openalex.org/W4298414065","https://openalex.org/W6602949368","https://openalex.org/W6607661343","https://openalex.org/W6645489403","https://openalex.org/W6645947092","https://openalex.org/W6680314249"],"related_works":["https://openalex.org/W2952856011","https://openalex.org/W1618127724","https://openalex.org/W3010627705","https://openalex.org/W2046852387","https://openalex.org/W4366823933","https://openalex.org/W2969955840","https://openalex.org/W2928534012","https://openalex.org/W2377278407","https://openalex.org/W2138867415","https://openalex.org/W2910028469"],"abstract_inverted_index":{"Abstract":[0],"This":[1,24],"is":[2],"intended":[3],"as":[4,34,42,44],"a":[5,21],"survey":[6],"article":[7,25],"covering":[8],"recent":[9],"developments":[10],"in":[11,50],"the":[12,51],"area":[13],"of":[14,48],"hamiltonian":[15],"graphs,":[16],"that":[17],"is,":[18],"graphs":[19,39],"containing":[20],"spanning":[22],"cycle.":[23],"also":[26],"contains":[27],"some":[28],"material":[29],"on":[30],"related":[31],"topics":[32],"such":[33],"traceable,":[35],"hamiltonian\u2010connected":[36],"and":[37,40],"pancyclic":[38],"digraphs,":[41],"well":[43],"an":[45],"extensive":[46],"bibliography":[47],"papers":[49],"area.":[52]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}