{"id":"https://openalex.org/W2949189252","doi":"https://doi.org/10.1093/comnet/cny008","title":"The connectivity of graphs of graphs with self-loops and a given degree sequence","display_name":"The connectivity of graphs of graphs with self-loops and a given degree sequence","publication_year":2018,"publication_date":"2018-03-24","ids":{"openalex":"https://openalex.org/W2949189252","doi":"https://doi.org/10.1093/comnet/cny008","mag":"2949189252"},"language":"en","primary_location":{"id":"doi:10.1093/comnet/cny008","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cny008","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1701.04888","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Joel Nishimura","orcid":null},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joel Nishimura","raw_affiliation_strings":["School of Mathematical and Natural Sciences Arizona State University, Glendale, 4701 W. Thunderbird Rd, Glendale, AZ, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematical and Natural Sciences Arizona State University, Glendale, 4701 W. Thunderbird Rd, Glendale, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.7322,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75643314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"6","issue":"6","first_page":"927","last_page":"947"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.30070000886917114,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.30070000886917114,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.10790000110864639,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.08229999989271164,"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/degree","display_name":"Degree (music)","score":0.7111999988555908},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.46799999475479126},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.4586000144481659},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.45170000195503235},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.44530001282691956},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.42500001192092896},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41029998660087585},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40619999170303345},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4047999978065491}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7111999988555908},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6825000047683716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6155999898910522},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5428000092506409},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.46799999475479126},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.4586000144481659},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.45170000195503235},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.44530001282691956},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.42500001192092896},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41029998660087585},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40619999170303345},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4047999978065491},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.37770000100135803},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.36820000410079956},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.35749998688697815},{"id":"https://openalex.org/C13251829","wikidata":"https://www.wikidata.org/wiki/Q3085841","display_name":"Dense graph","level":5,"score":0.3400000035762787},{"id":"https://openalex.org/C68103157","wikidata":"https://www.wikidata.org/wiki/Q569347","display_name":"Graph product","level":5,"score":0.3343999981880188},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.3240000009536743},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.310699999332428},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.3084999918937683},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3070000112056732},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.3034000098705292},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.28679999709129333},{"id":"https://openalex.org/C178744013","wikidata":"https://www.wikidata.org/wiki/Q5502876","display_name":"Frequency partition of a graph","level":5,"score":0.2678000032901764},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.2660999894142151},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.2632000148296356},{"id":"https://openalex.org/C103257674","wikidata":"https://www.wikidata.org/wiki/Q6934937","display_name":"Multiple edges","level":3,"score":0.25459998846054077}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/comnet/cny008","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cny008","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1701.04888","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.04888","pdf_url":"https://arxiv.org/pdf/1701.04888","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1701.04888","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.04888","pdf_url":"https://arxiv.org/pdf/1701.04888","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1887288860","https://openalex.org/W1988398836","https://openalex.org/W1993481783","https://openalex.org/W2044881936","https://openalex.org/W2049807504","https://openalex.org/W2091476183","https://openalex.org/W2109248504","https://openalex.org/W2110699703","https://openalex.org/W2111147876","https://openalex.org/W2158215595","https://openalex.org/W2167223378","https://openalex.org/W2167869241","https://openalex.org/W2169015768","https://openalex.org/W2327703312","https://openalex.org/W2335389215","https://openalex.org/W4236051973","https://openalex.org/W6722251714","https://openalex.org/W6726988386","https://openalex.org/W6728108689","https://openalex.org/W6763811828"],"related_works":[],"abstract_inverted_index":{"\u2018Double":[0],"edge":[1,77,124],"swaps\u2019":[2],"transform":[3],"one":[4],"graph":[5,84],"into":[6],"another":[7],"while":[8,32],"preserving":[9],"the":[10,46,72,129],"graph\u2019s":[11],"degree":[12,40,73,93,101,111],"sequence,":[13,41],"and":[14,52,85,122],"have":[15],"thus":[16],"been":[17],"used":[18,105],"in":[19],"a":[20,118],"number":[21],"of":[22,48,120],"popular":[23],"Markov":[24],"chain":[25],"Monte":[26],"Carlo":[27],"(MCMC)":[28],"sampling":[29],"techniques.":[30],"However,":[31],"double":[33,76,121],"edge-swaps":[34],"can":[35,103],"transform,":[36],"for":[37,58,109],"any":[38,42,140],"fixed":[39],"two":[43],"graphs":[44,59,114,138],"inside":[45],"classes":[47],"simple":[49],"graphs,":[50],"multigraphs":[51],"pseudographs,":[53],"this":[54],"is":[55],"not":[56,64],"true":[57],"which":[60],"allow":[61],"self-loops":[62],"but":[63],"multiedges":[65],"(loopy":[66],"graphs).":[67],"Indeed,":[68],"we":[69,127],"exactly":[70],"characterize":[71,100],"sequences":[74,102],"where":[75],"swaps":[78],"cannot":[79],"reach":[80],"every":[81],"valid":[82],"loopy":[83,113,137],"develop":[86],"an":[87],"efficient":[88],"algorithm":[89],"to":[90,99,106],"determine":[91],"such":[92],"sequences.":[94],"The":[95],"same":[96],"classification":[97],"scheme":[98],"be":[104],"prove":[107],"that,":[108,133],"all":[110],"sequences,":[112],"are":[115],"connected":[116],"by":[117],"combination":[119],"triple":[123],"swaps.":[125],"Thus,":[126],"contribute":[128],"first":[130],"MCMC":[131],"sampler":[132],"asymptotically,":[134],"uniformly":[135],"samples":[136],"with":[139],"given":[141],"sequence.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2019-06-27T00:00:00"}