{"id":"https://openalex.org/W3181727554","doi":"https://doi.org/10.1142/s179383092150155x","title":"On the skew Laplacian spectral radius of a digraph","display_name":"On the skew Laplacian spectral radius of a digraph","publication_year":2021,"publication_date":"2021-07-06","ids":{"openalex":"https://openalex.org/W3181727554","doi":"https://doi.org/10.1142/s179383092150155x","mag":"3181727554"},"language":"en","primary_location":{"id":"doi:10.1142/s179383092150155x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092150155x","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/A5032769901","display_name":"Bilal A. Chat","orcid":"https://orcid.org/0000-0002-0935-9955"},"institutions":[{"id":"https://openalex.org/I4264650","display_name":"Islamic University of Science and Technology","ror":"https://ror.org/02kdtt649","country_code":"IN","type":"education","lineage":["https://openalex.org/I4264650"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Bilal A. Chat","raw_affiliation_strings":["Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora Pulwama, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora Pulwama, India","institution_ids":["https://openalex.org/I4264650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052847748","display_name":"Hilal A. Ganie","orcid":"https://orcid.org/0000-0002-2226-7828"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hilal A. Ganie","raw_affiliation_strings":["Department of School Education, JK Government, Kashmir, India"],"affiliations":[{"raw_affiliation_string":"Department of School Education, JK Government, Kashmir, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111153743","display_name":"Altaf Ahmad Bhat","orcid":null},"institutions":[{"id":"https://openalex.org/I4264650","display_name":"Islamic University of Science and Technology","ror":"https://ror.org/02kdtt649","country_code":"IN","type":"education","lineage":["https://openalex.org/I4264650"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Altaf A. Bhat","raw_affiliation_strings":["Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora Pulwama, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora Pulwama, India","institution_ids":["https://openalex.org/I4264650"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Mohd Y. Bhat","orcid":null},"institutions":[{"id":"https://openalex.org/I4264650","display_name":"Islamic University of Science and Technology","ror":"https://ror.org/02kdtt649","country_code":"IN","type":"education","lineage":["https://openalex.org/I4264650"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohd Y. Bhat","raw_affiliation_strings":["Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora Pulwama, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora Pulwama, India","institution_ids":["https://openalex.org/I4264650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059338548","display_name":"Mehraj Ahmad Lone","orcid":"https://orcid.org/0000-0002-4764-9224"},"institutions":[{"id":"https://openalex.org/I8778637","display_name":"National Institute of Technology Srinagar","ror":"https://ror.org/03sfwvw54","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210152752","https://openalex.org/I8778637"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mehraj A. Lone","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Srinagar, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Srinagar, India","institution_ids":["https://openalex.org/I8778637"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5032769901"],"corresponding_institution_ids":["https://openalex.org/I4264650"],"apc_list":null,"apc_paid":null,"fwci":1.2662,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7902439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"14","issue":"05","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":1.0,"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 theory and applications","score":1.0,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9950000047683716,"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.9247849583625793},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7460242509841919},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.7367473840713501},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6576129198074341},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5452384352684021},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5331639051437378},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5140343904495239},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.47773903608322144},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.46915069222450256},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.46417996287345886},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.407162606716156},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35190290212631226},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1996903121471405},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11591202020645142},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09742558002471924},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05975612998008728}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.9247849583625793},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7460242509841919},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.7367473840713501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6576129198074341},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5452384352684021},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5331639051437378},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5140343904495239},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.47773903608322144},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.46915069222450256},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.46417996287345886},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.407162606716156},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35190290212631226},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1996903121471405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11591202020645142},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09742558002471924},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05975612998008728},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179383092150155x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092150155x","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W104699044","https://openalex.org/W391578156","https://openalex.org/W1996320926","https://openalex.org/W1998283131","https://openalex.org/W2147535338","https://openalex.org/W2153988305","https://openalex.org/W2220507833","https://openalex.org/W2592139354","https://openalex.org/W2791097861","https://openalex.org/W2791818963","https://openalex.org/W2952260038","https://openalex.org/W2962978623","https://openalex.org/W3014647262","https://openalex.org/W3127417081","https://openalex.org/W3153844025"],"related_works":["https://openalex.org/W2960436293","https://openalex.org/W2791097861","https://openalex.org/W4224296571","https://openalex.org/W2358031140","https://openalex.org/W3014647262","https://openalex.org/W3153844025","https://openalex.org/W2066555486","https://openalex.org/W2298820818","https://openalex.org/W3132233781","https://openalex.org/W3181727554"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,11,15,20,28,34,40,44,51,61,68,78,87,99,115,135],"see":[2,12,16,21,29,35,41,45,52,62,69,79,88,100,116,136],"text]":[3,13,17,22,30,36,46,53,63,70,89],"be":[4],"an":[5],"orientation":[6],"of":[7,31,75,84,96,112,132,140,144],"a":[8,133],"simple":[9],"graph":[10],"with":[14,58,167],"vertices":[18],"and":[19,67,123,147],"edges.":[23],"The":[24,81],"skew":[25,73,92,108,128],"Laplacian":[26,93,109,129],"matrix":[27,57,74,86],"the":[32,48,55,72,76,85,97,107,113,127,145,148,153,165,171],"digraph":[33,77,98,114,134,146],"is":[37,47,54,71,90],"defined":[38],"as":[39,64],"text],":[42,137],"where":[43],"imaginary":[49],"unit,":[50],"diagonal":[56,65],"oriented":[59],"degrees":[60],"entries":[66],"text].":[80,101,117],"largest":[82],"eigenvalue":[83],"called":[91],"spectral":[94,110,130],"radius":[95,111,131],"In":[102],"this":[103,175],"paper,":[104],"we":[105,163],"study":[106],"We":[118,151],"obtain":[119],"some":[120,160,168],"sharp":[121],"lower":[122],"upper":[124],"bounds":[125,158],"for":[126,170],"in":[138,159,174],"terms":[139],"different":[141],"structural":[142],"parameters":[143],"underlying":[149],"graph.":[150],"characterize":[152],"extremal":[154],"digraphs":[155],"attaining":[156],"these":[157],"cases.":[161],"Further,":[162],"end":[164],"paper":[166],"problems":[169],"future":[172],"research":[173],"direction.":[176]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}