{"id":"https://openalex.org/W4311159574","doi":"https://doi.org/10.1142/s021819592250008x","title":"Vertex Fault-Tolerant Geometric Spanners for Weighted Points","display_name":"Vertex Fault-Tolerant Geometric Spanners for Weighted Points","publication_year":2022,"publication_date":"2022-09-01","ids":{"openalex":"https://openalex.org/W4311159574","doi":"https://doi.org/10.1142/s021819592250008x"},"language":"en","primary_location":{"id":"doi:10.1142/s021819592250008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819592250008x","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"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":"International Journal of Computational Geometry & 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/A5058945283","display_name":"Sukanya Bhattacharjee","orcid":"https://orcid.org/0009-0009-7262-0296"},"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":"Sukanya Bhattacharjee","raw_affiliation_strings":["Department of Computer Science and Engineering, IIT Guwahati, India"],"raw_orcid":null,"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/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":false,"raw_author_name":"R. Inkulu","raw_affiliation_strings":["Department of Computer Science and Engineering, IIT Guwahati, India"],"raw_orcid":"https://orcid.org/0000-0002-7141-0977","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":1,"corresponding_author_ids":[],"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":0.31894934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"03n04","first_page":"175","last_page":"199"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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":1.0,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6087853312492371},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5662614107131958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5123811960220337},{"id":"https://openalex.org/keywords/spanner","display_name":"Spanner","score":0.44866782426834106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15670129656791687},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.14093559980392456}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6087853312492371},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5662614107131958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5123811960220337},{"id":"https://openalex.org/C2779585601","wikidata":"https://www.wikidata.org/wiki/Q4049850","display_name":"Spanner","level":2,"score":0.44866782426834106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15670129656791687},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.14093559980392456},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021819592250008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819592250008x","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"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":"International Journal of Computational Geometry & Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5262747878","display_name":null,"funder_award_id":"MTR/2017/000474","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1491725382","https://openalex.org/W1505970908","https://openalex.org/W1555471913","https://openalex.org/W1859011291","https://openalex.org/W1869076784","https://openalex.org/W1902053630","https://openalex.org/W1965127928","https://openalex.org/W1972171563","https://openalex.org/W2002041206","https://openalex.org/W2004207893","https://openalex.org/W2004476837","https://openalex.org/W2019731444","https://openalex.org/W2038643780","https://openalex.org/W2044087973","https://openalex.org/W2079518702","https://openalex.org/W2082551413","https://openalex.org/W2101955916","https://openalex.org/W2112210934","https://openalex.org/W2113604744","https://openalex.org/W2139391136","https://openalex.org/W2148073303","https://openalex.org/W2160816205","https://openalex.org/W2170243444","https://openalex.org/W2582648736","https://openalex.org/W2786889022","https://openalex.org/W2881370671","https://openalex.org/W2905791521","https://openalex.org/W2913492813","https://openalex.org/W2964220619","https://openalex.org/W2998615518","https://openalex.org/W3013884612","https://openalex.org/W3021716813","https://openalex.org/W3022401834","https://openalex.org/W3138427988","https://openalex.org/W4238697024"],"related_works":["https://openalex.org/W2949889395","https://openalex.org/W2162831161","https://openalex.org/W4297623464","https://openalex.org/W2126497992","https://openalex.org/W2082551413","https://openalex.org/W3197005352","https://openalex.org/W2079518702","https://openalex.org/W1537274075","https://openalex.org/W4226304728","https://openalex.org/W2608700661"],"abstract_inverted_index":{"Given":[0],"a":[1,11,19,29,36,47,178,212,224,265,277],"set":[2,78],"[Formula:":[3,7,14,26,32,39,50,57,66,73,79,90,93,99,103,107,111,115,123,127,133,138,149,153,167,173,179,183,189,198,215,225,229,234,239,250,259,268,278,282,295],"see":[4,8,15,27,33,40,51,58,67,74,80,91,94,100,104,108,112,116,124,128,134,139,150,154,168,174,180,184,190,199,216,226,230,235,240,251,260,269,279,283,296],"text]":[5,9,16,52,59,75,81,95,101,109,117,125,129,135,151,169,200,236,241,261],"of":[6,82,187,207,211,245,289],"points,":[10],"weight":[12,21],"function":[13,72],"to":[17,22,98,222,275],"associate":[18],"non-negative":[20],"each":[23],"point":[24],"in":[25,65,132,137,166,172,197,203,249,258,291],"text],":[28,34,41,92,105,140,175,217,270],"positive":[30],"integer":[31],"and":[35,126,152,286],"real":[37],"number":[38,244,288],"we":[42,176,218,271],"present":[43],"algorithms":[44],"for":[45,53,88],"computing":[46],"spanner":[48],"network":[49,186,232,293],"the":[54,62,77,119,144,163,194,204,208,243,255,287],"metric":[55],"space":[56,210],"induced":[60],"by":[61],"weighted":[63,70,164,195,256],"points":[64,83,131,165,196,257],"text].":[68,113,155,191,252,297],"The":[69,156],"distance":[71,121,147],"on":[76,264],"is":[84,96,110,118,143,242,294],"defined":[85],"as":[86],"follows:":[87],"any":[89],"equal":[97],"if":[102,130],"otherwise,":[106,141],"Here,":[114,238],"Euclidean":[120],"between":[122,148],"are":[136,158,170,201,262],"it":[142],"geodesic":[145],"(Euclidean)":[146],"following":[157],"our":[159],"results:":[160],"(1)":[161],"When":[162,193,254],"located":[171,202,263],"compute":[177,223,276],"text]-vertex":[181,227,280],"fault-tolerant":[182,228,281],"text]-spanner":[185,231,284],"size":[188],"(2)":[192],"relative":[205],"interior":[206],"free":[209],"polygonal":[213,247],"domain":[214],"detail":[219],"an":[220,273],"algorithm":[221,274],"with":[233],"edges.":[237],"simple":[246],"holes":[248],"(3)":[253],"polyhedral":[266],"terrain":[267],"propose":[272],"network,":[285],"edges":[290],"this":[292]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}