{"id":"https://openalex.org/W1825173856","doi":"https://doi.org/10.1142/s1793830916500488","title":"Minimum weight resolving sets of grid graphs","display_name":"Minimum weight resolving sets of grid graphs","publication_year":2016,"publication_date":"2016-05-30","ids":{"openalex":"https://openalex.org/W1825173856","doi":"https://doi.org/10.1142/s1793830916500488","mag":"1825173856"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830916500488","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830916500488","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.4510","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035133272","display_name":"Patrick Andersen","orcid":"https://orcid.org/0000-0003-4987-1643"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Patrick Andersen","raw_affiliation_strings":["School of Mathematics and Physical Sciences, University of Newcastle, University Dr, Callaghan, New South Wales 2308, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physical Sciences, University of Newcastle, University Dr, Callaghan, New South Wales 2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087532794","display_name":"Cyriac Grigorious","orcid":"https://orcid.org/0000-0003-1152-1576"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Cyriac Grigorious","raw_affiliation_strings":["School of Mathematics and Physical Sciences, University of Newcastle, University Dr, Callaghan, New South Wales 2308, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physical Sciences, University of Newcastle, University Dr, Callaghan, New South Wales 2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112079337","display_name":"Mirka Miller","orcid":null},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mirka Miller","raw_affiliation_strings":["School of Mathematics and Physical Sciences, University of Newcastle, University Dr, Callaghan, New South Wales 2308, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physical Sciences, University of Newcastle, University Dr, Callaghan, New South Wales 2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I78757542"],"apc_list":null,"apc_paid":null,"fwci":1.0535,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78360034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"08","issue":"03","first_page":"1650048","last_page":"1650048"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":1.0,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":1.0,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"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":0.9864000082015991,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6910125017166138},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5700740218162537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5231695771217346},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37968629598617554},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37777087092399597}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6910125017166138},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5700740218162537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5231695771217346},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37968629598617554},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37777087092399597}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s1793830916500488","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830916500488","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"},{"id":"pmh:oai:arXiv.org:1409.4510","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.4510","pdf_url":"https://arxiv.org/pdf/1409.4510","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.740.7423","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.740.7423","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1409.4510.pdf","raw_type":"text"},{"id":"pmh:uon:29729","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1345845","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.4510","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.4510","pdf_url":"https://arxiv.org/pdf/1409.4510","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1973911938","https://openalex.org/W2007572995","https://openalex.org/W2019020998","https://openalex.org/W2023570253","https://openalex.org/W2026014023","https://openalex.org/W2037298352","https://openalex.org/W2103905945","https://openalex.org/W2170983254","https://openalex.org/W4236316415","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W3111310291"],"abstract_inverted_index":{"For":[0],"a":[1,9,19,46,69,91,114,121,169,187,203,238,241],"simple":[2],"graph":[3,123,229],"[Formula:":[4,13,21,25,29,37,41,54,58,65,78,82,86,93,98,102,117,124,129,135,143,160,164,190,249,253,265],"see":[5,14,22,26,30,38,42,55,59,66,79,83,87,94,99,103,118,125,130,136,144,161,165,191,250,254,266],"text]":[6,23,27,31,39,43,56,67,80,84,95,100,119,126,131,137,162,251,255],"and":[7,28,81,101,180,256],"for":[8,73,120,157],"pair":[10,75],"of":[11,45,63,76,141,154,172,186,216,240,243,261],"vertices":[12,64,77,217],"text],":[15,88],"we":[16,149,206],"say":[17],"that":[18,96,128,182,195,201,218,258],"vertex":[20,92,142],"resolves":[24,97],"if":[32,72,226],"the":[33,50,139,151,183,196,199,227,259],"shortest":[34,51],"path":[35,52],"from":[36,53,248],"to":[40,57,112,209,224,236,252],"is":[44,68,111,132,138,189,230,264],"different":[47],"length":[48],"than":[49],"text].":[60,104,145,166,192,267],"A":[61],"set":[62,71,109,116],"resolving":[70,108,115],"every":[74],"in":[85],"there":[89],"exists":[90],"The":[105],"minimum":[106],"weight":[107,140],"problem":[110,156],"find":[113],"weighted":[122],"such":[127,262],"minimum,":[133],"where":[134,163],"In":[146],"this":[147,155,234],"paper,":[148],"explore":[150],"possible":[152],"solutions":[153,173],"grid":[158,197],"graphs":[159],"We":[167,193,232],"give":[168],"complete":[170],"characterization":[171,239],"whose":[174,245],"cardinalities":[175,246],"are":[176,222],"2":[177],"or":[178,212],"3,":[179],"show":[181,194,257],"maximum":[184],"cardinality":[185],"solution":[188],"has":[198],"property":[200],"given":[202],"landmark":[204],"set,":[205],"only":[207],"need":[208],"investigate":[210],"whether":[211],"not":[213],"all":[214],"pairs":[215],"share":[219],"common":[220],"neighbors":[221],"resolved":[223],"determine":[225],"whole":[228],"resolved.":[231],"use":[233],"result":[235],"provide":[237],"class":[242],"minimals":[244,263],"range":[247],"number":[260]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}