{"id":"https://openalex.org/W2800659371","doi":"https://doi.org/10.1007/s10878-018-0293-7","title":"New lower bounds for the second variable Zagreb index","display_name":"New lower bounds for the second variable Zagreb index","publication_year":2018,"publication_date":"2018-05-02","ids":{"openalex":"https://openalex.org/W2800659371","doi":"https://doi.org/10.1007/s10878-018-0293-7","mag":"2800659371"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-018-0293-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-018-0293-7","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","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/A5059914269","display_name":"\u00c1lvaro Mart\u00ednez-P\u00e9rez","orcid":"https://orcid.org/0000-0002-1344-6189"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"\u00c1lvaro Mart\u00ednez-P\u00e9rez","raw_affiliation_strings":["Facultad CC. Sociales de Talavera, Avda. Real F\u00e1brica de Seda, s/n., 45600, Talavera de la Reina, Toledo, Spain"],"raw_orcid":"https://orcid.org/0000-0002-1344-6189","affiliations":[{"raw_affiliation_string":"Facultad CC. Sociales de Talavera, Avda. Real F\u00e1brica de Seda, s/n., 45600, Talavera de la Reina, Toledo, Spain","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002592714","display_name":"Jos\u00e9 M. Rodr\u0131\u0301guez","orcid":"https://orcid.org/0000-0003-2851-7442"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 M. Rodr\u00edguez","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Legan\u00e9s, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Legan\u00e9s, Madrid, Spain","institution_ids":["https://openalex.org/I50357001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059914269"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7597,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68308537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":"1","first_page":"194","last_page":"210"},"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.9890000224113464,"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"}},{"id":"https://openalex.org/T10353","display_name":"Zeolite Catalysis and Synthesis","score":0.9668999910354614,"subfield":{"id":"https://openalex.org/subfields/1604","display_name":"Inorganic 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/index","display_name":"Index (typography)","score":0.6468635201454163},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6179580688476562},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6117310523986816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5464538335800171},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4408547580242157},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.326737642288208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2939603626728058},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22891533374786377},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08144965767860413}],"concepts":[{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.6468635201454163},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6179580688476562},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6117310523986816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5464538335800171},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4408547580242157},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.326737642288208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2939603626728058},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22891533374786377},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08144965767860413},{"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":2,"locations":[{"id":"doi:10.1007/s10878-018-0293-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-018-0293-7","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:36:y:2018:i:1:d:10.1007_s10878-018-0293-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-018-0293-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2811182489","display_name":null,"funder_award_id":"FOMIX-CONACyT-UAGro 249818","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G4488566792","display_name":null,"funder_award_id":"MTM 2015-63612P","funder_id":"https://openalex.org/F4320335204","funder_display_name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n"},{"id":"https://openalex.org/G5099328497","display_name":null,"funder_award_id":"MTM 2016-78227-C2-1-P","funder_id":"https://openalex.org/F4320335204","funder_display_name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n"},{"id":"https://openalex.org/G833396205","display_name":null,"funder_award_id":"MTM 2015-69323-REDT","funder_id":"https://openalex.org/F4320335204","funder_display_name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320335204","display_name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W656781005","https://openalex.org/W1858378466","https://openalex.org/W1989537682","https://openalex.org/W1991085281","https://openalex.org/W2021229217","https://openalex.org/W2025299491","https://openalex.org/W2050810479","https://openalex.org/W2065534534","https://openalex.org/W2080255676","https://openalex.org/W2089188009","https://openalex.org/W2109872122","https://openalex.org/W2115325963","https://openalex.org/W2142066294","https://openalex.org/W2152540737","https://openalex.org/W2213456231","https://openalex.org/W2301898583","https://openalex.org/W2318794083","https://openalex.org/W2513066303","https://openalex.org/W2598969690","https://openalex.org/W2623027528","https://openalex.org/W2741270480","https://openalex.org/W2789644745","https://openalex.org/W4251867247","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2260035625","https://openalex.org/W2515667805","https://openalex.org/W2114668360","https://openalex.org/W2140087070","https://openalex.org/W2043099224","https://openalex.org/W3037784022"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
