{"id":"https://openalex.org/W2897140837","doi":"https://doi.org/10.1016/j.amc.2019.03.002","title":"Path matrix and path energy of graphs","display_name":"Path matrix and path energy of graphs","publication_year":2019,"publication_date":"2019-03-22","ids":{"openalex":"https://openalex.org/W2897140837","doi":"https://doi.org/10.1016/j.amc.2019.03.002","mag":"2897140837"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2019.03.002","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.04870","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024686169","display_name":"Aleksandar Ili\u0107","orcid":"https://orcid.org/0000-0002-8594-3539"},"institutions":[{"id":"https://openalex.org/I4210114444","display_name":"Meta (United States)","ror":"https://ror.org/01zbnvs85","country_code":"US","type":"company","lineage":["https://openalex.org/I4210114444"]},{"id":"https://openalex.org/I4210099336","display_name":"Menlo School","ror":"https://ror.org/01240pn49","country_code":"US","type":"education","lineage":["https://openalex.org/I4210099336"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aleksandar Ili\u0107","raw_affiliation_strings":["Facebook Inc, Menlo Park, CA, USA"],"affiliations":[{"raw_affiliation_string":"Facebook Inc, Menlo Park, CA, USA","institution_ids":["https://openalex.org/I4210114444","https://openalex.org/I4210099336"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003927992","display_name":"Milan Ba\u0161i\u0107","orcid":"https://orcid.org/0000-0002-5021-4774"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Milan Ba\u0161i\u0107","raw_affiliation_strings":["Faculty of Sciences and Mathematics, University of Ni\u0161, Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Sciences and Mathematics, University of Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024686169"],"corresponding_institution_ids":["https://openalex.org/I4210114444","https://openalex.org/I4210099336"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550,"provenance":"doaj"},"apc_paid":null,"fwci":1.056,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":6,"citation_normalized_percentile":{"value":0.775753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":81,"max":82},"biblio":{"volume":"355","issue":null,"first_page":"537","last_page":"541"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph Spectra and Topological Indices","score":0.9981,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph Spectra and Topological Indices","score":0.9981,"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"}},{"id":"https://openalex.org/T10374","display_name":"Graph Theory and Algorithms","score":0.9862,"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/T12292","display_name":"Graph Matching and Analysis Techniques","score":0.9478,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/disjoint-sets","display_name":"Disjoint sets","score":0.57803184},{"id":"https://openalex.org/keywords/graph-matching","display_name":"Graph Matching","score":0.536796},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.50365466},{"id":"https://openalex.org/keywords/induced-path","display_name":"Induced path","score":0.49728015},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4399969}],"concepts":[{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.7084443},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.69639564},{"id":"https://openalex.org/C1465435","wikidata":"https://www.wikidata.org/wiki/Q2916352","display_name":"Longest path problem","level":4,"score":0.640324},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6359242},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.57803184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5572294},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5477334},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.50365466},{"id":"https://openalex.org/C58228413","wikidata":"https://www.wikidata.org/wiki/Q15704639","display_name":"Induced path","level":5,"score":0.49728015},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4399969},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.4164107},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4069612},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.38773358},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2809742},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.058406204},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2019.03.002","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1810.04870","pdf_url":"https://arxiv.org/pdf/1810.04870","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1810.04870","pdf_url":"https://arxiv.org/pdf/1810.04870","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.77}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":3,"referenced_works":["https://openalex.org/W1589331344","https://openalex.org/W2345532956","https://openalex.org/W2753693129"],"related_works":["https://openalex.org/W4387185483","https://openalex.org/W4385965963","https://openalex.org/W4382866750","https://openalex.org/W4293167680","https://openalex.org/W2776102956","https://openalex.org/W2600678155","https://openalex.org/W2388410942","https://openalex.org/W2040572217","https://openalex.org/W2022506245","https://openalex.org/W1496800439"],"abstract_inverted_index":{"Given":[0],"a":[1,8],"graph":[2],"G,":[3],"we":[4,39],"associate":[5],"to":[6],"it":[7],"path":[9,50,63],"matrix":[10,64],"P":[11],"whose":[12],"(i,":[13],"j)":[14],"entry":[15],"represents":[16],"the":[17,25,33,49,62],"maximum":[18],"number":[19],"of":[20,52],"vertex":[21],"disjoint":[22],"paths":[23],"between":[24],"vertices":[26],"i":[27],"and":[28,54],"j,":[29],"with":[30],"zeros":[31],"on":[32,48],"main":[34],"diagonal.":[35],"In":[36],"this":[37],"note,":[38],"resolve":[40],"four":[41],"conjectures":[42],"from":[43],"Shikare":[44],"et":[45],"al.":[46],"(2018)":[47],"energy":[51],"graphs":[53],"finally":[55],"present":[56],"efficient":[57],"O(|E||V|3)":[58],"algorithm":[59],"for":[60,66],"computing":[61],"used":[65],"verifying":[67],"computational":[68],"results.":[69]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2897140837","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2024-11-21T00:44:34.012241","created_date":"2018-10-26"}
