{"id":"https://openalex.org/W2963010290","doi":"https://doi.org/10.1137/17m1126072","title":"Signed Graphs: From Modulo Flows to Integer-Valued Flows","display_name":"Signed Graphs: From Modulo Flows to Integer-Valued Flows","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2963010290","doi":"https://doi.org/10.1137/17m1126072","mag":"2963010290"},"language":"en","primary_location":{"id":"doi:10.1137/17m1126072","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1126072","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete 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/A5113834335","display_name":"Jian Cheng","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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jian Cheng","raw_affiliation_strings":["Department of Mathematics West Virginia University Morgantown, WV 26506"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics West Virginia University Morgantown, WV 26506","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004663151","display_name":"You Lu","orcid":"https://orcid.org/0000-0002-7693-9175"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"You Lu","raw_affiliation_strings":["Department of Mathematics West Virginia University Morgantown, WV 26506"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics West Virginia University Morgantown, WV 26506","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066405314","display_name":"Rong Luo","orcid":"https://orcid.org/0000-0002-5237-1001"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rong Luo","raw_affiliation_strings":["Department of Mathematics West Virginia University Morgantown, WV 26506"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics West Virginia University Morgantown, WV 26506","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064703404","display_name":"Cun\u2010Quan Zhang","orcid":"https://orcid.org/0000-0001-5583-4481"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cun-Quan Zhang","raw_affiliation_strings":["Department of Mathematics West Virginia University Morgantown, WV 26506"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics West Virginia University Morgantown, WV 26506","institution_ids":["https://openalex.org/I12097938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113834335"],"corresponding_institution_ids":["https://openalex.org/I12097938"],"apc_list":null,"apc_paid":null,"fwci":1.0096,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79879844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"32","issue":"2","first_page":"956","last_page":"965"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9980999827384949,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.992900013923645,"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/modulo","display_name":"Modulo","score":0.8668651580810547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8231490850448608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6516101360321045},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6447106599807739},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49543583393096924},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4452466070652008},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.13581842184066772},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10702568292617798}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8668651580810547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8231490850448608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6516101360321045},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6447106599807739},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49543583393096924},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4452466070652008},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.13581842184066772},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10702568292617798},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m1126072","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1126072","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W196573717","https://openalex.org/W1786780942","https://openalex.org/W1964553741","https://openalex.org/W2011470163","https://openalex.org/W2013326192","https://openalex.org/W2018784326","https://openalex.org/W2032431189","https://openalex.org/W2068987903","https://openalex.org/W2075527133","https://openalex.org/W2090562334","https://openalex.org/W2167804572","https://openalex.org/W2963579267","https://openalex.org/W4230039044","https://openalex.org/W4256646394"],"related_works":["https://openalex.org/W2117548279","https://openalex.org/W2807449856","https://openalex.org/W2196131019","https://openalex.org/W2112041331","https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2082154838","https://openalex.org/W2109912052","https://openalex.org/W1711527768"],"abstract_inverted_index":{"Converting":[0],"modulo":[1,28,53,107],"flows":[2,5,29,32,54,57],"into":[3,55,119],"integer-valued":[4,31,56,121],"is":[6],"one":[7],"of":[8,16,27],"the":[9,14,25],"most":[10],"critical":[11],"steps":[12],"in":[13],"study":[15,49],"integer":[17],"flows.":[18],"Tutte":[19],"and":[20,30,71,80,89,100],"Jaeger's":[21],"pioneering":[22],"work":[23],"shows":[24],"equivalence":[26,38],"for":[33,42,58,103],"ordinary":[34],"graphs.":[35,44,60],"However,":[36],"such":[37],"no":[39],"longer":[40],"holds":[41],"signed":[43,59,104],"This":[45],"motivates":[46],"us":[47],"to":[48,51],"how":[50],"convert":[52],"In":[61],"this":[62],"paper,":[63],"we":[64],"generalize":[65],"some":[66],"early":[67],"results":[68],"by":[69],"Xu":[70],"Zhang":[72],"[Discrete":[73],"Math.,":[74],"299":[75],"(2005),":[76],"pp.":[77,87,98],"335--343],":[78],"Schubert":[79],"Steffen":[81],"[European":[82],"J.":[83],"Combin.,":[84],"48":[85],"(2015),":[86,97],"34--47],":[88],"Zhu":[90],"[J.":[91],"Combin.":[92],"Theory":[93],"Ser.":[94],"B,":[95],"112":[96],"93--103]":[99],"show":[101],"that,":[102],"graphs,":[105],"every":[106],"$(2+\\frac{1}{p})$-flow":[108],"with":[109],"$p":[110],"\\in":[111],"{\\mathbb":[112],"Z}^+":[113],"\\cup":[114],"\\{\\infty\\}$":[115],"can":[116],"be":[117],"converted/extended":[118],"an":[120],"flow.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
