{"id":"https://openalex.org/W2143001072","doi":"https://doi.org/10.1016/j.dam.2008.03.012","title":"Transforming a graph into a 1-balanced graph","display_name":"Transforming a graph into a 1-balanced graph","publication_year":2008,"publication_date":"2008-04-23","ids":{"openalex":"https://openalex.org/W2143001072","doi":"https://doi.org/10.1016/j.dam.2008.03.012","mag":"2143001072"},"language":"en","primary_location":{"id":"doi:10.1016/j.dam.2008.03.012","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.dam.2008.03.012","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied 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/A5069769944","display_name":"Lavanya Kannan","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lavanya Kannan","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX 77843, United States","Department of Mathematics, Texas A&M University College Station, TX 77843, United States"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX 77843, United States","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics, Texas A&M University College Station, TX 77843, United States","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005450828","display_name":"Arthur M. Hobbs","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arthur Hobbs","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX 77843, United States","Department of Mathematics, Texas A&M University College Station, TX 77843, United States"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX 77843, United States","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics, Texas A&M University College Station, TX 77843, United States","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090130186","display_name":"Hong\u2010Jian Lai","orcid":"https://orcid.org/0000-0001-7698-2125"},"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"]},{"id":"https://openalex.org/I2801608483","display_name":"Schoolcraft College","ror":"https://ror.org/03j2znq68","country_code":"US","type":"education","lineage":["https://openalex.org/I2801608483"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hong-Jian Lai","raw_affiliation_strings":["Arts and Sciences, Schoolcraft College, Livonia, MI 48152, United States","Department of Mathematics, West Virginia University, Morgantown, WV 26506, United States"],"affiliations":[{"raw_affiliation_string":"Arts and Sciences, Schoolcraft College, Livonia, MI 48152, United States","institution_ids":["https://openalex.org/I2801608483"]},{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV 26506, United States","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102099009","display_name":"Hongyuan Lai","orcid":null},"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"]},{"id":"https://openalex.org/I2801608483","display_name":"Schoolcraft College","ror":"https://ror.org/03j2znq68","country_code":"US","type":"education","lineage":["https://openalex.org/I2801608483"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongyuan Lai","raw_affiliation_strings":["Arts and Sciences, Schoolcraft College, Livonia, MI 48152, United States","Department of Mathematics, West Virginia University, Morgantown, WV 26506, United States","Arts and Sciences, Schoolcraft College, Livonia, MI 48152, United States#TAB#"],"affiliations":[{"raw_affiliation_string":"Arts and Sciences, Schoolcraft College, Livonia, MI 48152, United States","institution_ids":["https://openalex.org/I2801608483"]},{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV 26506, United States","institution_ids":["https://openalex.org/I12097938"]},{"raw_affiliation_string":"Arts and Sciences, Schoolcraft College, Livonia, MI 48152, United States#TAB#","institution_ids":["https://openalex.org/I2801608483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069769944"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.4129,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.69972133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"157","issue":"2","first_page":"300","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"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/T11476","display_name":"Graph theory and applications","score":0.994700014591217,"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/mathematics","display_name":"Mathematics","score":0.7753567695617676},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7498596906661987},{"id":"https://openalex.org/keywords/factor-critical-graph","display_name":"Factor-critical graph","score":0.5297402143478394},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5243965983390808},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.5188561677932739},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.512349009513855},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.5048230290412903},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4824295938014984},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.4801596999168396},{"id":"https://openalex.org/keywords/null-graph","display_name":"Null graph","score":0.45555126667022705},{"id":"https://openalex.org/keywords/butterfly-graph","display_name":"Butterfly graph","score":0.4436936378479004},{"id":"https://openalex.org/keywords/graph-factorization","display_name":"Graph factorization","score":0.41708946228027344},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.41331619024276733}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7753567695617676},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7498596906661987},{"id":"https://openalex.org/C36038622","wikidata":"https://www.wikidata.org/wiki/Q5428703","display_name":"Factor-critical graph","level":5,"score":0.5297402143478394},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5243965983390808},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.5188561677932739},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.512349009513855},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.5048230290412903},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4824295938014984},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.4801596999168396},{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.45555126667022705},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.4436936378479004},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.41708946228027344},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.41331619024276733}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.dam.2008.03.012","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.dam.2008.03.012","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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":33,"referenced_works":["https://openalex.org/W128988891","https://openalex.org/W612917828","https://openalex.org/W1506897049","https://openalex.org/W1803411289","https://openalex.org/W1980948271","https://openalex.org/W1982187375","https://openalex.org/W1986285313","https://openalex.org/W2011934005","https://openalex.org/W2026319235","https://openalex.org/W2033968656","https://openalex.org/W2041634241","https://openalex.org/W2042803872","https://openalex.org/W2043574467","https://openalex.org/W2059772103","https://openalex.org/W2062931369","https://openalex.org/W2065320942","https://openalex.org/W2074890468","https://openalex.org/W2117560761","https://openalex.org/W2139834426","https://openalex.org/W2168083933","https://openalex.org/W2228977891","https://openalex.org/W2251388250","https://openalex.org/W2780461205","https://openalex.org/W2798588639","https://openalex.org/W2905110430","https://openalex.org/W3043060850","https://openalex.org/W4210396160","https://openalex.org/W4231891807","https://openalex.org/W4241669766","https://openalex.org/W4251345737","https://openalex.org/W4285719527","https://openalex.org/W6605178559","https://openalex.org/W6836554880"],"related_works":["https://openalex.org/W2793949464","https://openalex.org/W2048112267","https://openalex.org/W2371151138","https://openalex.org/W4324266426","https://openalex.org/W2014355235","https://openalex.org/W2376177032","https://openalex.org/W2052731309","https://openalex.org/W3139081114","https://openalex.org/W2050157065","https://openalex.org/W2900755677"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}