{"id":"https://openalex.org/W2921345541","doi":"https://doi.org/10.1155/2019/4318261","title":"Computing the Weighted Isolated Scattering Number of Interval Graphs in Polynomial Time","display_name":"Computing the Weighted Isolated Scattering Number of Interval Graphs in Polynomial Time","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2921345541","doi":"https://doi.org/10.1155/2019/4318261","mag":"2921345541"},"language":"en","primary_location":{"id":"doi:10.1155/2019/4318261","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4318261","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4318261.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/4318261.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102000742","display_name":"Fengwei Li","orcid":"https://orcid.org/0000-0003-2791-1683"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]},{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]},{"id":"https://openalex.org/I4210088341","display_name":"University of Finance and Economics","ror":"https://ror.org/005d8s603","country_code":"MN","type":"education","lineage":["https://openalex.org/I4210088341"]}],"countries":["CN","MN"],"is_corresponding":false,"raw_author_name":"Fengwei Li","raw_affiliation_strings":["College of Basic Science, Ningbo University of Finance & Economics, Ningbo, Zhejiang 315175, China","Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000, China","College of Basic Science, Ningbo University of Finance & Economics, Ningbo, Zhejiang 315175","Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000"],"raw_orcid":"https://orcid.org/0000-0003-2791-1683","affiliations":[{"raw_affiliation_string":"College of Basic Science, Ningbo University of Finance & Economics, Ningbo, Zhejiang 315175, China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000, China","institution_ids":["https://openalex.org/I192209268"]},{"raw_affiliation_string":"College of Basic Science, Ningbo University of Finance & Economics, Ningbo, Zhejiang 315175","institution_ids":["https://openalex.org/I4210088341","https://openalex.org/I109935558"]},{"raw_affiliation_string":"Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100352066","display_name":"Xiaoyan Zhang","orcid":"https://orcid.org/0000-0002-2224-1484"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CN","CZ"],"is_corresponding":true,"raw_author_name":"Xiaoyan Zhang","raw_affiliation_strings":["School of Mathematical Sciences & Institute of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210023, China","School of Mathematical Sciences & Institute of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210023"],"raw_orcid":"https://orcid.org/0000-0002-2224-1484","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences & Institute of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210023, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"School of Mathematical Sciences & Institute of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210023","institution_ids":["https://openalex.org/I152031979","https://openalex.org/I4210120266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024998239","display_name":"Qingfang Ye","orcid":"https://orcid.org/0000-0001-9000-2330"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]},{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]},{"id":"https://openalex.org/I4210088341","display_name":"University of Finance and Economics","ror":"https://ror.org/005d8s603","country_code":"MN","type":"education","lineage":["https://openalex.org/I4210088341"]}],"countries":["CN","MN"],"is_corresponding":false,"raw_author_name":"Qingfang Ye","raw_affiliation_strings":["College of Basic Science, Ningbo University of Finance & Economics, Ningbo, Zhejiang 315175, China","Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000, China","College of Basic Science, Ningbo University of Finance & Economics, Ningbo, Zhejiang 315175","Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Basic Science, Ningbo University of Finance & Economics, Ningbo, Zhejiang 315175, China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000, China","institution_ids":["https://openalex.org/I192209268"]},{"raw_affiliation_string":"College of Basic Science, Ningbo University of Finance & Economics, Ningbo, Zhejiang 315175","institution_ids":["https://openalex.org/I4210088341","https://openalex.org/I109935558"]},{"raw_affiliation_string":"Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003695209","display_name":"Yuefang Sun","orcid":"https://orcid.org/0000-0002-7515-8481"},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuefang Sun","raw_affiliation_strings":["Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000, China","Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000, China","institution_ids":["https://openalex.org/I192209268"]},{"raw_affiliation_string":"Department of Applied Statistics, Shaoxing University, Shaoxing, Zhejiang 312000","institution_ids":["https://openalex.org/I192209268"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100352066"],"corresponding_institution_ids":["https://openalex.org/I152031979","https://openalex.org/I4210120266"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.2021,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51540284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"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/scattering","display_name":"Scattering","score":0.5864872336387634},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5449647903442383},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.5311378836631775},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5246437191963196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5243497490882874},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4922885000705719},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4434429705142975},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4290475845336914},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.4205900728702545},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41484469175338745},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20094436407089233},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12908247113227844},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08808046579360962}],"concepts":[{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5864872336387634},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5449647903442383},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.5311378836631775},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5246437191963196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5243497490882874},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4922885000705719},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4434429705142975},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4290475845336914},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.4205900728702545},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41484469175338745},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20094436407089233},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12908247113227844},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08808046579360962}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/4318261","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4318261","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4318261.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:4318261","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/4318261.xml","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"},{"id":"pmh:oai:doaj.org/article:38859079766f43b3ab0b26c9c96dcb01","is_oa":false,"landing_page_url":"https://doaj.org/article/38859079766f43b3ab0b26c9c96dcb01","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/4318261","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4318261","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4318261.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G1484406510","display_name":null,"funder_award_id":"LY18A010002","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G238833984","display_name":"\u4fe1\u606f\u79d1\u5b66\u4e2d\u56fe\u4e0e\u8d85\u56fe\u5212\u5206\u95ee\u9898\u7684\u968f\u673a\u8fd1\u4f3c\u7b97\u6cd5\u7814\u7a76","funder_award_id":"11471003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3155566920","display_name":"\u82af\u7247\u53ca\u7f51\u7edc\u8bbe\u8ba1\u4e2d\u7684\u56fe\u4f18\u5316\u95ee\u9898\u7814\u7a76","funder_award_id":"11871280","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G583531308","display_name":null,"funder_award_id":"LQ17A010004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6263026172","display_name":null,"funder_award_id":"11801378","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6573093077","display_name":null,"funder_award_id":"11401389","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6778676888","display_name":null,"funder_award_id":"LQ17A010004","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G8235285135","display_name":null,"funder_award_id":"LY17A010017","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327794","display_name":"Qinglan Project of Jiangsu Province of China","ror":null},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2921345541.pdf","grobid_xml":"https://content.openalex.org/works/W2921345541.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W5493544","https://openalex.org/W163359857","https://openalex.org/W617577063","https://openalex.org/W1484040084","https://openalex.org/W1494578269","https://openalex.org/W1862942966","https://openalex.org/W2041423095","https://openalex.org/W2055745794","https://openalex.org/W2063410295","https://openalex.org/W2089651609","https://openalex.org/W2092855865","https://openalex.org/W2100440346","https://openalex.org/W2133847446","https://openalex.org/W2320198223","https://openalex.org/W2350106888","https://openalex.org/W2469333800","https://openalex.org/W2581734429","https://openalex.org/W2807330217","https://openalex.org/W4230771139","https://openalex.org/W4247622728"],"related_works":["https://openalex.org/W2031276298","https://openalex.org/W110470963","https://openalex.org/W3038621866","https://openalex.org/W4287749642","https://openalex.org/W2093949146","https://openalex.org/W2398738602","https://openalex.org/W3130332934","https://openalex.org/W4361825306","https://openalex.org/W2788975631","https://openalex.org/W2584187496"],"abstract_inverted_index":{"The":[0],"scattering":[1,5,24,50],"number":[2,6,25],"and":[3,18,21],"isolated":[4,23,49],"of":[7,43,62,68],"a":[8,34,54],"graph":[9],"have":[10],"been":[11],"introduced":[12],"in":[13,30],"relation":[14],"to":[15,58],"Hamiltonian":[16],"properties":[17],"network":[19],"vulnerability,":[20],"the":[22,40,47],"plays":[26],"an":[27,65],"important":[28,66],"role":[29],"characterizing":[31],"graphs":[32],"with":[33],"fractional":[35],"1\u2010factor.":[36],"Here":[37],"we":[38],"investigate":[39],"computational":[41],"complexity":[42],"one":[44],"variant,":[45],"namely,":[46],"weighted":[48],"number.":[51],"We":[52],"give":[53],"polynomial":[55],"time":[56],"algorithm":[57],"compute":[59],"this":[60],"parameter":[61],"interval":[63],"graphs,":[64],"subclass":[67],"perfect":[69],"graphs.":[70]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
