{"id":"https://openalex.org/W3133686507","doi":"https://doi.org/10.1142/s1793830922500744","title":"Vertex fault-tolerant spanners for weighted points in polygonal domains","display_name":"Vertex fault-tolerant spanners for weighted points in polygonal domains","publication_year":2022,"publication_date":"2022-04-11","ids":{"openalex":"https://openalex.org/W3133686507","doi":"https://doi.org/10.1142/s1793830922500744","mag":"3133686507"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922500744","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500744","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5053130974","display_name":"R. Inkulu","orcid":"https://orcid.org/0000-0002-7141-0977"},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"R. Inkulu","raw_affiliation_strings":["Department of Computer Science and Engineering, IIT Guwahati, India"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, IIT Guwahati, India","institution_ids":["https://openalex.org/I1317621060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011725816","display_name":"Apurv Singh","orcid":null},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Apurv Singh","raw_affiliation_strings":["Department of Computer Science and Engineering, IIT Guwahati, India"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, IIT Guwahati, India","institution_ids":["https://openalex.org/I1317621060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053130974"],"corresponding_institution_ids":["https://openalex.org/I1317621060"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00884782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":"Advanced Graph Theory Research","score":0.9932000041007996,"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":0.9914000034332275,"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/multiplicative-function","display_name":"Multiplicative function","score":0.7523846626281738},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7272072434425354},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6332868933677673},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.5926659107208252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5571531653404236},{"id":"https://openalex.org/keywords/spanner","display_name":"Spanner","score":0.5564935207366943},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4546222984790802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2033480703830719},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.18201720714569092}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7523846626281738},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7272072434425354},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6332868933677673},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.5926659107208252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5571531653404236},{"id":"https://openalex.org/C2779585601","wikidata":"https://www.wikidata.org/wiki/Q4049850","display_name":"Spanner","level":2,"score":0.5564935207366943},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4546222984790802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2033480703830719},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.18201720714569092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830922500744","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500744","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":48,"referenced_works":["https://openalex.org/W1491725382","https://openalex.org/W1505970908","https://openalex.org/W1523241416","https://openalex.org/W1552092932","https://openalex.org/W1555471913","https://openalex.org/W1559217217","https://openalex.org/W1575027696","https://openalex.org/W1591348353","https://openalex.org/W1609688788","https://openalex.org/W1687392666","https://openalex.org/W1859011291","https://openalex.org/W1869076784","https://openalex.org/W1965127928","https://openalex.org/W1990206448","https://openalex.org/W2002041206","https://openalex.org/W2004207893","https://openalex.org/W2004476837","https://openalex.org/W2044087973","https://openalex.org/W2053578961","https://openalex.org/W2054143104","https://openalex.org/W2074149381","https://openalex.org/W2079518702","https://openalex.org/W2082551413","https://openalex.org/W2093521781","https://openalex.org/W2097333461","https://openalex.org/W2100654743","https://openalex.org/W2101955916","https://openalex.org/W2112210934","https://openalex.org/W2125457607","https://openalex.org/W2139391136","https://openalex.org/W2148073303","https://openalex.org/W2160816205","https://openalex.org/W2170243444","https://openalex.org/W2221669835","https://openalex.org/W2228251449","https://openalex.org/W2247199971","https://openalex.org/W2786889022","https://openalex.org/W2809377824","https://openalex.org/W2881370671","https://openalex.org/W2905791521","https://openalex.org/W2913492813","https://openalex.org/W2962908848","https://openalex.org/W2964220619","https://openalex.org/W3021716813","https://openalex.org/W3022401834","https://openalex.org/W3138427988","https://openalex.org/W4238697024","https://openalex.org/W4245082111"],"related_works":["https://openalex.org/W2949889395","https://openalex.org/W2162831161","https://openalex.org/W4297623464","https://openalex.org/W2082551413","https://openalex.org/W2126497992","https://openalex.org/W3197005352","https://openalex.org/W2079518702","https://openalex.org/W2114946841","https://openalex.org/W2902692154","https://openalex.org/W2608700661"],"abstract_inverted_index":{"Given":[0],"a":[1,7,13,21,28,41,69,112,150],"set":[2],"S":[3,65,104,146],"of":[4,88,93,111,121],"n":[5],"points,":[6],"weight":[8,15],"function":[9],"w":[10],"to":[11,16,39,76,127,157],"associate":[12],"non-negative":[14],"each":[17],"point":[18],"in":[19,58,64,68,90,103,107,145],"S,":[20],"positive":[22],"integer":[23],"[Formula:":[24,31,46,82,96,115,133,138,163,168],"see":[25,32,47,83,97,116,134,139,164,169],"text],":[26,33,84],"and":[27,85,136,166],"real":[29],"number":[30,87,120],"we":[34,72,123,153],"devise":[35,154],"the":[36,50,55,62,86,101,108,143],"following":[37],"algorithms":[38],"compute":[40,77,128,158],"k-vertex":[42],"fault-tolerant":[43],"spanner":[44],"network":[45],"text]":[48,117,135,165],"for":[49],"metric":[51],"space":[52,110],"induced":[53],"by":[54],"weighted":[56],"points":[57,63,102,144],"S:":[59],"(1).":[60],"When":[61,100,142],"are":[66,105,147],"located":[67,106,148],"simple":[70],"polygon,":[71],"present":[73,124],"an":[74,125,155],"algorithm":[75,126,156],"G":[78,91,129,159],"with":[79,118,130,160],"multiplicative":[80,131,161],"stretch":[81,132,162],"edges":[89],"(size":[92],"G)":[94],"is":[95],"text].":[98,140,170],"(2)":[99],"free":[109],"polygonal":[113],"domain":[114],"h":[119],"obstacles,":[122],"size":[137,167],"(3)":[141],"on":[149],"polyhedral":[151],"terrain,":[152]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
