{"id":"https://openalex.org/W1609991258","doi":"https://doi.org/10.37236/3841","title":"On Graphs Having no Flow Roots in the Interval $(1,2)$","display_name":"On Graphs Having no Flow Roots in the Interval $(1,2)$","publication_year":2015,"publication_date":"2015-03-30","ids":{"openalex":"https://openalex.org/W1609991258","doi":"https://doi.org/10.37236/3841","mag":"1609991258"},"language":"en","primary_location":{"id":"doi:10.37236/3841","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3841","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i1p82/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i1p82/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040286132","display_name":"Fengming Dong","orcid":"https://orcid.org/0000-0002-8510-2262"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"F.M. Dong","raw_affiliation_strings":["Nanyang Technological University"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040286132"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0340738,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"22","issue":"1","first_page":null,"last_page":null},"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/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.898578941822052},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8174598217010498},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.7648590207099915},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5856402516365051},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5205715298652649},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36704158782958984},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06440570950508118}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.898578941822052},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8174598217010498},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.7648590207099915},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5856402516365051},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5205715298652649},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36704158782958984},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06440570950508118},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/3841","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3841","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i1p82/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/3841","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3841","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i1p82/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8635073385","display_name":null,"funder_award_id":"11271307","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325434","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1609991258.pdf","grobid_xml":"https://content.openalex.org/works/W1609991258.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1754421315","https://openalex.org/W1991662488","https://openalex.org/W1997046521","https://openalex.org/W2050188822","https://openalex.org/W2092041285","https://openalex.org/W2103635171","https://openalex.org/W2143683474","https://openalex.org/W2799004609","https://openalex.org/W4232224617","https://openalex.org/W4240324820"],"related_works":["https://openalex.org/W2951695430","https://openalex.org/W4300891849","https://openalex.org/W2318687609","https://openalex.org/W91590591","https://openalex.org/W159772521","https://openalex.org/W2950100995","https://openalex.org/W3170064006","https://openalex.org/W2281582664","https://openalex.org/W2554039769","https://openalex.org/W1997904316"],"abstract_inverted_index":{"For":[0],"any":[1,22],"graph":[2,24],"$G$,":[3,25],"let":[4],"$W(G)$":[5,27],"be":[6],"the":[7,43,49,57],"set":[8],"of":[9,13,33,52],"vertices":[10],"in":[11,42,65,85],"$G$":[12],"degrees":[14],"larger":[15],"than":[16],"3.":[17],"We":[18,71],"show":[19],"that":[20,60],"for":[21],"bridgeless":[23],"if":[26],"is":[28,48],"dominated":[29],"by":[30],"some":[31,74],"component":[32],"$G":[34],"-":[35],"W(G)$,":[36],"then":[37],"$F(G,\\lambda)$":[38,47,61],"has":[39,62],"no":[40,63,83],"roots":[41,64,84],"interval":[44],"(1,2),":[45],"where":[46],"flow":[50,80],"polynomial":[51],"$G$.":[53],"This":[54],"result":[55,59],"generalizes":[56],"known":[58],"(1,2)":[66],"whenever":[67],"$|W(G)|":[68],"\\leq":[69],"2$.":[70],"also":[72],"give":[73],"constructions":[75],"to":[76],"generate":[77],"graphs":[78],"whose":[79],"polynomials":[81],"have":[82],"$(1,2)$.":[86]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}