iBet uBet
web content aggregator. Adding the entire web to your favor.
Link to original content:
https://api.openalex.org/works/doi:10.48550/ARXIV.2308.15842
{"id":"https://openalex.org/W4386348183","doi":"https://doi.org/10.48550/arxiv.2308.15842","title":"On Colorful Vertex and Edge Cover Problems","display_name":"On Colorful Vertex and Edge Cover Problems","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386348183","doi":"https://doi.org/10.48550/arxiv.2308.15842"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2308.15842","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2308.15842","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001388244","display_name":"Sayan Bandyapadhyay","orcid":"https://orcid.org/0000-0001-8875-0102"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bandyapadhyay, Sayan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000126726","display_name":"Aritra Banik","orcid":"https://orcid.org/0000-0002-7544-6125"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Banik, Aritra","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5072487585","display_name":"Sujoy Bhore","orcid":"https://orcid.org/0000-0003-0104-1659"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bhore, Sujoy","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":70},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Mesh Generation Algorithms","score":0.9977,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Mesh Generation Algorithms","score":0.9977,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10374","display_name":"Graph Theory and Algorithms","score":0.9894,"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":"Combinatorial Optimization and Complexity Theory","score":0.9627,"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/vertex-cover","display_name":"Vertex cover","score":0.8359434},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.81703365},{"id":"https://openalex.org/keywords/constraint-satisfaction-problems","display_name":"Constraint Satisfaction Problems","score":0.474634}],"concepts":[{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.8359434},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.81703365},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.78458995},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6807008},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.562265},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.54826397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.54552025},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.48035395},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43375003},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3468031},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11491716},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2308.15842","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2308.15842","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2308.15842","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4244658307","https://openalex.org/W2949255922","https://openalex.org/W2907689753","https://openalex.org/W2156896570","https://openalex.org/W2043560626","https://openalex.org/W2038655901","https://openalex.org/W2036594069","https://openalex.org/W1627181101","https://openalex.org/W1566660502","https://openalex.org/W1558145674"],"abstract_inverted_index":{"In":[0,21],"this":[1,225],"paper,":[2],"we":[3,75,97,203,229],"study":[4],"two":[5],"generalizations":[6],"of":[7,54,64,83,113,127,139,162,186,214,227,236],"Vertex":[8,15,24,93,175],"Cover":[9,16,25,88,176,201],"and":[10,17,39,103,137,145],"Edge":[11,19,87,200],"Cover,":[12,94],"namely":[13],"Colorful":[14,18,23,86,92,174,199],"Cover.":[20],"the":[22,46,104,157,173,188,198],"problem,":[26,202],"given":[27,99],"an":[28,205],"$n$-vertex":[29],"edge-colored":[30],"graph":[31,102],"$G$":[32],"with":[33],"colors":[34],"from":[35],"$\\{1,":[36],"\\ldots,":[37,44],"\\omega\\}$":[38],"coverage":[40,158],"requirements":[41],"$r_1,":[42],"r_2,":[43],"r_\\omega$,":[45],"goal":[47,105],"is":[48,89,106,165],"to":[49,77,91,107,216],"find":[50],"a":[51,100,124,170,183,191,212,217],"minimum-sized":[52,125],"set":[53,126,141],"vertices":[55,112],"that":[56,147,156],"are":[57,98,148],"incident":[58],"on":[59],"at":[60,79,109],"least":[61,80,110],"$r_i$":[62,81,111],"edges":[63,82],"color":[65,84,114],"$i$,":[66,115],"for":[67,116,172,182,197],"each":[68,117],"$1":[69,118],"\\le":[70,72,119,121],"i":[71,120],"\\omega$,":[73,122],"i.e.,":[74],"need":[76],"cover":[78,108],"$i$.":[85],"similar":[90],"except":[95],"here":[96],"vertex-colored":[101],"by":[123],"edges.":[128],"These":[129],"problems":[130,223],"have":[131],"several":[132],"applications":[133],"in":[134,178,193,224],"fair":[135],"covering":[136],"hitting":[138],"geometric":[140],"systems":[142],"involving":[143],"points":[144],"lines":[146],"divided":[149],"into":[150],"multiple":[151],"groups.":[152],"Here,":[153],"fairness":[154],"ensures":[155],"(resp.":[159],"hitting)":[160],"requirement":[161],"every":[163],"group":[164],"fully":[166],"satisfied.":[167],"We":[168],"obtain":[169],"$(2+\\epsilon)$-approximation":[171,192],"problem":[177,189],"time":[179,208],"$n^{O(\\omega/\\epsilon)}$.":[180],"Thus,":[181],"constant":[184],"number":[185],"colors,":[187],"admits":[190],"polynomial":[194],"time.":[195],"Next,":[196],"design":[204,230],"$O(\\omega":[206],"n^3)$":[207],"exact":[209],"algorithm,":[210],"via":[211],"chain":[213,226],"reductions":[215],"matching":[218],"problem.":[219],"For":[220],"all":[221],"intermediate":[222],"reductions,":[228],"polynomial-time":[231],"algorithms,":[232],"which":[233],"might":[234],"be":[235],"independent":[237],"interest.":[238]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4386348183","counts_by_year":[],"updated_date":"2024-10-09T09:41:12.759351","created_date":"2023-09-02"}
