{"id":"https://openalex.org/W2037308449","doi":"https://doi.org/10.1002/(sici)1097-0037(199707)29:4<245::aid-net7>3.0.co;2-f","title":"Constructing a bipartite graph of maximum connectivity with prescribed degrees","display_name":"Constructing a bipartite graph of maximum connectivity with prescribed degrees","publication_year":1997,"publication_date":"1997-07-01","ids":{"openalex":"https://openalex.org/W2037308449","doi":"https://doi.org/10.1002/(sici)1097-0037(199707)29:4<245::aid-net7>3.0.co;2-f","mag":"2037308449"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(199707)29:4<245::aid-net7>3.0.co;2-f","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199707)29:4<245::aid-net7>3.0.co;2-f","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"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":"Networks","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/A5102080075","display_name":"Takao Asano","orcid":null},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takao Asano","raw_affiliation_strings":["Department of Information and System Engineering, Chuo University, Bunkyo-ku, Tokyo 112, Japan","Department of Information and System Engineering, Chuo University, Bunkyo-ku, Tokyo 112, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Information and System Engineering, Chuo University, Bunkyo-ku, Tokyo 112, Japan","institution_ids":["https://openalex.org/I96679780"]},{"raw_affiliation_string":"Department of Information and System Engineering, Chuo University, Bunkyo-ku, Tokyo 112, Japan#TAB#","institution_ids":["https://openalex.org/I96679780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102080075"],"corresponding_institution_ids":["https://openalex.org/I96679780"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19540008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"4","first_page":"245","last_page":"263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9991000294685364,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.9296053051948547},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8304096460342407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7013744115829468},{"id":"https://openalex.org/keywords/edge-transitive-graph","display_name":"Edge-transitive graph","score":0.5606886744499207},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5046113729476929},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4801987409591675},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4708499610424042},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4233448803424835},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.30840298533439636},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2641468048095703},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.0636959969997406}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.9296053051948547},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8304096460342407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7013744115829468},{"id":"https://openalex.org/C200597783","wikidata":"https://www.wikidata.org/wiki/Q4391289","display_name":"Edge-transitive graph","level":5,"score":0.5606886744499207},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5046113729476929},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4801987409591675},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4708499610424042},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4233448803424835},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.30840298533439636},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2641468048095703},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0636959969997406},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0037(199707)29:4<245::aid-net7>3.0.co;2-f","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199707)29:4<245::aid-net7>3.0.co;2-f","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"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":"Networks","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2022808896","https://openalex.org/W2107875203","https://openalex.org/W1988790461","https://openalex.org/W4232950734","https://openalex.org/W2969335708","https://openalex.org/W2352066879","https://openalex.org/W2103879540","https://openalex.org/W2384730381","https://openalex.org/W3143578817","https://openalex.org/W2038143369"],"abstract_inverted_index":{"A":[0],"pair":[1],"of":[2,54,89,100,133],"nonnegative":[3],"integer":[4,112],"sequences":[5],"{D1,":[6,124,153,164],"D2}":[7,31,73,105,165],"with":[8,29,122,162],"D1":[9],"=":[10,40,45,60,65,167],"(d1,1,":[11],"d1,2,":[12],"\u2026,":[13,17,43,48,68],"dnD2=":[14],"(d2,1,":[15],"d2,2,":[16],"dna":[18],"bipartite":[19,26,76,102,120,136,150,160],"graphical":[20,77,103,137,151],"sequence,":[21],"if":[22,79,82],"there":[23,83,116],"is":[24,74,84,106,117],"a":[25,75,101,118,131,134,148,157],"graph":[27,121,161],"G":[28,33],"degrees{D1,":[30],"(i.e.,":[32],"has":[34],"two":[35],"independent":[36],"vertex":[37,55],"sets":[38],"V1":[39],"{v1,1,":[41],"v1,2,":[42],"vnV2":[44],"{v2,1,":[46],"v2,2,":[47],"vnsuch":[49],"that":[50,115],"di,ji":[51],"the":[52,110],"degree":[53],"vi,jiG":[56],"for":[57,147],"each":[58],"i":[59],"1,":[61,66],"2":[62],"and":[63,80,91,94,139],"ji":[64],"2,":[67],"ni).":[69],"In":[70,126],"other":[71],"words,{D1,":[72],"sequence":[78,138,152],"only":[81],"an":[85,140],"n1\u00d7":[86],"n2":[87],"matrix":[88],"0's":[90],"1's":[92],"havingdjj1":[93],"djj2.":[95],"The":[96],"connectivity":[97],"\u03ba({D1,":[98,158],"D2})":[99],"sequence{D1,":[104],"defined":[107],"to":[108,155],"be":[109],"maximum":[111],"k":[113],"such":[114],"k-connected":[119,135],"degrees":[123,163],"D2}.":[125],"this":[127],"paper,":[128],"we":[129],"present":[130],"characterization":[132],"O(n":[141],"log":[142,143],"n)":[144],"time":[145],"algorithm,":[146],"given":[149],"D2},":[154],"construct":[156],"D2})-connected":[159],"(n":[166],"n1+n2).":[168],"\u00a9":[169],"1997":[170],"John":[171],"Wiley":[172],"&":[173],"Sons,":[174],"Inc.":[175]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}