{"id":"https://openalex.org/W1991789977","doi":"https://doi.org/10.1080/00207160410001661681","title":"The scattering number of thorn graphs","display_name":"The scattering number of thorn graphs","publication_year":2004,"publication_date":"2004-03-01","ids":{"openalex":"https://openalex.org/W1991789977","doi":"https://doi.org/10.1080/00207160410001661681","mag":"1991789977"},"language":"en","primary_location":{"id":"doi:10.1080/00207160410001661681","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160410001661681","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5070159813","display_name":"Alpay K\u0131rlangi\u00e7","orcid":"https://orcid.org/0000-0001-8009-7209"},"institutions":[{"id":"https://openalex.org/I41641357","display_name":"Ege University","ror":"https://ror.org/02eaafc18","country_code":"TR","type":"education","lineage":["https://openalex.org/I41641357"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Alpay Kirlangi\u00e7","raw_affiliation_strings":["Correspondencekirlan@bornova.ege.edu.tr"],"affiliations":[{"raw_affiliation_string":"Correspondencekirlan@bornova.ege.edu.tr","institution_ids":["https://openalex.org/I41641357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034630468","display_name":"Aysun Ayta\u00e7","orcid":"https://orcid.org/0000-0003-2086-8969"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aysun Ozan Ayta\u00e7\u2020","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070159813"],"corresponding_institution_ids":["https://openalex.org/I41641357"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.09153605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"81","issue":"3","first_page":"299","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9965000152587891,"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/interconnection","display_name":"Interconnection","score":0.6807791590690613},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.6784105896949768},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6705336570739746},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5222359895706177},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4888569712638855},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45249176025390625},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.44706466794013977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22314321994781494},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19535189867019653},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12805184721946716},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11663171648979187},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09511017799377441}],"concepts":[{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.6807791590690613},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.6784105896949768},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6705336570739746},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5222359895706177},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4888569712638855},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45249176025390625},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.44706466794013977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22314321994781494},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19535189867019653},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12805184721946716},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11663171648979187},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09511017799377441}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160410001661681","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160410001661681","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":9,"referenced_works":["https://openalex.org/W1872245744","https://openalex.org/W1975099798","https://openalex.org/W2012676186","https://openalex.org/W2043793831","https://openalex.org/W2093816675","https://openalex.org/W2111207019","https://openalex.org/W2148089600","https://openalex.org/W2752885492","https://openalex.org/W2799004609"],"related_works":["https://openalex.org/W2014709025","https://openalex.org/W2155019192","https://openalex.org/W4249035840","https://openalex.org/W2766970861","https://openalex.org/W1964071618","https://openalex.org/W3125341812","https://openalex.org/W1668171714","https://openalex.org/W4380607112","https://openalex.org/W2347989876","https://openalex.org/W2352704148"],"abstract_inverted_index":{"The":[0],"scattering":[1,55,82,94],"number":[2,35,56,83],"of":[3,36,38,84,96],"a":[4,51],"non-complete":[5],"connected":[6],"graph":[7,40],"G":[8,41],"is":[9,48],"defined":[10],"by":[11],"sc(G)":[12],"=":[13],"max{w(G":[14],"\u2212":[15,17,25,31,42],"S)":[16,26,32],"|S|":[18],":":[19],"S":[20],"\u2282":[21],"V(G)":[22],"and":[23,108],"w(G":[24,30],"\u2265":[27],"2},":[28],"where":[29],"denotes":[33],"the":[34,39,54,60,65,69,81,93],"components":[37],"S.":[43],"If":[44],"an":[45,88],"interconnection":[46,89],"network":[47,66],"modelled":[49],"as":[50,87],"graph,":[52],"then":[53],"shows":[57],"not":[58],"only":[59],"difficulty":[61],"to":[62],"break":[63],"down":[64],"but":[67],"also":[68],"damage":[70],"that":[71],"has":[72],"been":[73],"caused.":[74],"This":[75],"article":[76],"includes":[77],"several":[78],"results":[79],"on":[80],"thorn":[85],"graphs":[86,97],"network.":[90],"In":[91],"addition,":[92],"numbers":[95],"obtained":[98],"via":[99],"various":[100],"operations":[101,105],"are":[102,106],"computed.":[103],"These":[104],"union":[107],"product.":[109]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
