{"id":"https://openalex.org/W4392198229","doi":"https://doi.org/10.1137/22m1537497","title":"Rainbow Spanning Trees in Randomly Colored \\(\\boldsymbol{G}_{\\boldsymbol{k}-\\boldsymbol{out}}\\)","display_name":"Rainbow Spanning Trees in Randomly Colored \\(\\boldsymbol{G}_{\\boldsymbol{k}-\\boldsymbol{out}}\\)","publication_year":2024,"publication_date":"2024-02-27","ids":{"openalex":"https://openalex.org/W4392198229","doi":"https://doi.org/10.1137/22m1537497"},"language":"en","primary_location":{"id":"doi:10.1137/22m1537497","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1537497","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/A5028085743","display_name":"Deepak Bal","orcid":"https://orcid.org/0000-0003-1441-1823"},"institutions":[{"id":"https://openalex.org/I166088655","display_name":"Montclair State University","ror":"https://ror.org/01nxc2t48","country_code":"US","type":"education","lineage":["https://openalex.org/I166088655"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Deepak Bal","raw_affiliation_strings":["Department of Mathematics, Montclair State University, Montclair, NJ 07043 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Montclair State University, Montclair, NJ 07043 USA","institution_ids":["https://openalex.org/I166088655"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056950019","display_name":"Alan Frieze","orcid":"https://orcid.org/0000-0002-8481-5615"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alan Frieze","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890 USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079925942","display_name":"Pawe\u0142 Pra\u0142at","orcid":"https://orcid.org/0000-0001-9176-8493"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Pawe\u0142 Pra\u0142at","raw_affiliation_strings":["Department of Mathematics, Toronto Metropolitan University, Toronto, ON, M5B 2K3, Canada. Part of this work was done while the author was visiting the Simons Institute for the Theory of Computing"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Toronto Metropolitan University, Toronto, ON, M5B 2K3, Canada. Part of this work was done while the author was visiting the Simons Institute for the Theory of Computing","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028085743"],"corresponding_institution_ids":["https://openalex.org/I166088655"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03215434,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"1","first_page":"867","last_page":"882"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991000294685364,"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/rainbow","display_name":"Rainbow","score":0.9253995418548584},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8025184869766235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7755010724067688},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.7460519075393677},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.7246060371398926},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.41707324981689453},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37168437242507935},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22148188948631287}],"concepts":[{"id":"https://openalex.org/C2776558979","wikidata":"https://www.wikidata.org/wiki/Q1052","display_name":"Rainbow","level":2,"score":0.9253995418548584},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8025184869766235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7755010724067688},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.7460519075393677},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.7246060371398926},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.41707324981689453},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37168437242507935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22148188948631287},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1537497","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1537497","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":[{"id":"https://openalex.org/G2826834842","display_name":null,"funder_award_id":"DMS1952285","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1577466578","https://openalex.org/W1767752187","https://openalex.org/W1980608991","https://openalex.org/W2007550461","https://openalex.org/W2029560927","https://openalex.org/W2054534432","https://openalex.org/W2067019296","https://openalex.org/W2091476183","https://openalex.org/W2279529641","https://openalex.org/W2336317531","https://openalex.org/W2949796499","https://openalex.org/W2953220200","https://openalex.org/W2963663072"],"related_works":["https://openalex.org/W2945204557","https://openalex.org/W2797212079","https://openalex.org/W2725202876","https://openalex.org/W1984408232","https://openalex.org/W2616445782","https://openalex.org/W2401813478","https://openalex.org/W2353770281","https://openalex.org/W2963572511","https://openalex.org/W2170017230","https://openalex.org/W2588096572"],"abstract_inverted_index":{".Given":[0],"a":[1,15],"graph":[2],"\\(G=(V,E)\\)":[3],"on":[4],"\\(n\\)":[5],"vertices":[6],"and":[7],"an":[8],"assignment":[9],"of":[10,17],"colors":[11,34],"to":[12,24,36],"its":[13],"edges,":[14],"set":[16],"edges":[18,28],"\\(S":[19],"\\subseteq":[20],"E\\)":[21],"is":[22],"said":[23],"be":[25],"rainbow":[26,43],"if":[27],"from":[29],"\\(S\\)":[30],"have":[31],"pairwise":[32],"different":[33],"assigned":[35],"them.":[37],"In":[38],"this":[39],"paper,":[40],"we":[41],"investigate":[42],"spanning":[44],"trees":[45],"in":[46],"randomly":[47],"colored":[48],"random":[49],"\\(G_{k-out}\\)":[50],"graphs.Keywordsrainbow":[51],"structuresspanning":[52],"trees\\(G_{k-out}\\)":[53],"processrandom":[54],"graphsMSC":[55],"codes05C80":[56]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
