{"id":"https://openalex.org/W3179446242","doi":"https://doi.org/10.1142/s1793830921501536","title":"Sharp lower bounds on the sum-connectivity index of trees","display_name":"Sharp lower bounds on the sum-connectivity index of trees","publication_year":2021,"publication_date":"2021-07-05","ids":{"openalex":"https://openalex.org/W3179446242","doi":"https://doi.org/10.1142/s1793830921501536","mag":"3179446242"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921501536","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501536","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/A5020659699","display_name":"S. Alyar","orcid":null},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"S. Alyar","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran","institution_ids":["https://openalex.org/I51301133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005154718","display_name":"R. Khoeilar","orcid":"https://orcid.org/0000-0002-2981-3625"},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"R. Khoeilar","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran","institution_ids":["https://openalex.org/I51301133"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020659699"],"corresponding_institution_ids":["https://openalex.org/I51301133"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17828157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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":0.9994999766349792,"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":0.9994999766349792,"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":0.9912999868392944,"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":0.9764999747276306,"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/combinatorics","display_name":"Combinatorics","score":0.8320397734642029},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6642313003540039},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.6002439260482788},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5541785359382629},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5386990904808044},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4593982398509979},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.4198119342327118},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36854684352874756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14326539635658264},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10242593288421631},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.050760090351104736}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8320397734642029},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6642313003540039},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.6002439260482788},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5541785359382629},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5386990904808044},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4593982398509979},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.4198119342327118},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36854684352874756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14326539635658264},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10242593288421631},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.050760090351104736},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921501536","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501536","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":7,"referenced_works":["https://openalex.org/W1986317832","https://openalex.org/W1993943561","https://openalex.org/W2008772272","https://openalex.org/W2049730537","https://openalex.org/W2055455751","https://openalex.org/W2066891982","https://openalex.org/W2152556317"],"related_works":["https://openalex.org/W2374829073","https://openalex.org/W2385671392","https://openalex.org/W2610737932","https://openalex.org/W2741785956","https://openalex.org/W1910838778","https://openalex.org/W2213272066","https://openalex.org/W2004533347","https://openalex.org/W2383129606","https://openalex.org/W2042289434","https://openalex.org/W1984081854"],"abstract_inverted_index":{"The":[0,69,94],"sum-connectivity":[1,63,74],"index":[2,64,75],"of":[3,14,25,40,65,76],"a":[4],"graph":[5],"[Formula:":[6,16,22,26,30,34,43,47,51],"see":[7,17,23,27,31,35,44,48,52],"text]":[8,18,24,32,36,45,49],"is":[9],"defined":[10],"as":[11,83],"the":[12,38,41,62,73],"sum":[13],"weights":[15],"over":[19],"all":[20],"edges":[21],"text],":[28,53],"where":[29],"and":[33,46,90],"are":[37,67,92,98],"degrees":[39],"vertices":[42],"in":[50],"respectively.":[54,100],"In":[55],"this":[56],"paper,":[57],"some":[58],"extremal":[59,70,96],"problems":[60],"on":[61,72],"trees":[66,77],"studied.":[68],"values":[71],"with":[78],"given":[79],"graphic":[80],"parameters,":[81],"such":[82],"pendant":[84],"number,":[85,87],"matching":[86],"domination":[88],"number":[89],"diameter,":[91],"determined.":[93],"corresponding":[95],"graphs":[97],"characterized,":[99]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
