{"id":"https://openalex.org/W4404081619","doi":"https://doi.org/10.1051/ro/2024212","title":"The differential on graph operator R(G)","display_name":"The differential on graph operator R(G)","publication_year":2024,"publication_date":"2024-11-01","ids":{"openalex":"https://openalex.org/W4404081619","doi":"https://doi.org/10.1051/ro/2024212"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2024212","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024212","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro240267.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro240267.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033938960","display_name":"Ludwin A. Basilio","orcid":"https://orcid.org/0000-0001-5629-1343"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ludwin Ali Hern\u00e1ndez Basilio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014811798","display_name":"Jes\u00fas Lea\u00f1os Mac\u00edas","orcid":null},"institutions":[{"id":"https://openalex.org/I47400469","display_name":"Universidad Aut\u00f3noma de Zacatecas \"Francisco Garc\u00eda Salinas\"","ror":"https://ror.org/01m296r74","country_code":"MX","type":"education","lineage":["https://openalex.org/I47400469"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jes\u00fas Lea\u00f1os Mac\u00edas","raw_affiliation_strings":["Academic Unit of Mathematics , Autonomous University of Zacatecas. Paseo la Bufa , int. Calzada Solidaridad , 98060 Zacate- cas , Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academic Unit of Mathematics , Autonomous University of Zacatecas. Paseo la Bufa , int. Calzada Solidaridad , 98060 Zacate- cas , Mexico","institution_ids":["https://openalex.org/I47400469"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066700175","display_name":"Omar Rosario","orcid":"https://orcid.org/0000-0002-8909-1978"},"institutions":[{"id":"https://openalex.org/I3130105584","display_name":"Universidad Aut\u00f3noma de Guerrero","ror":"https://ror.org/054tbkd46","country_code":"MX","type":"education","lineage":["https://openalex.org/I3130105584"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Omar Rosario Cayetano","raw_affiliation_strings":["Facultad de Matem\u00e1ticas , Universidad Aut\u00f3noma de Guerrero , Carlos E. Adame No.54 Col. Garita , 39650 Acalpulco Gro. , Mexico"],"raw_orcid":"https://orcid.org/0000-0002-8909-1978","affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas , Universidad Aut\u00f3noma de Guerrero , Carlos E. Adame No.54 Col. Garita , 39650 Acalpulco Gro. , Mexico","institution_ids":["https://openalex.org/I3130105584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112691052","display_name":"Jos\u00e9 Mar\u00eda Sigarreta Almira","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Mar\u00eda Sigarreta Almira","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":2.7892,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.91465286,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"58","issue":"6","first_page":"5467","last_page":"5479"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13234","display_name":"advanced mathematical theories","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9537000060081482,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9301999807357788,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47084519267082214},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4162730574607849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4063527584075928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38122498989105225},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31542864441871643},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.12043294310569763}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47084519267082214},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4162730574607849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4063527584075928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38122498989105225},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31542864441871643},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12043294310569763},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2024212","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024212","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro240267.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2024212","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024212","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro240267.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404081619.pdf","grobid_xml":"https://content.openalex.org/works/W4404081619.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W118344247","https://openalex.org/W1493071618","https://openalex.org/W1514432425","https://openalex.org/W1654194294","https://openalex.org/W1971816016","https://openalex.org/W2040023700","https://openalex.org/W2040446810","https://openalex.org/W2054991375","https://openalex.org/W2059179208","https://openalex.org/W2061820396","https://openalex.org/W2083887440","https://openalex.org/W2093882311","https://openalex.org/W2146864270","https://openalex.org/W2331245033","https://openalex.org/W2501947984","https://openalex.org/W2523247376","https://openalex.org/W2600400793","https://openalex.org/W2759695324","https://openalex.org/W2801247117","https://openalex.org/W2888523862","https://openalex.org/W2905092251","https://openalex.org/W2981242052","https://openalex.org/W2984600345","https://openalex.org/W3008341092","https://openalex.org/W3013440443","https://openalex.org/W3015959374","https://openalex.org/W3080148029","https://openalex.org/W3124203773","https://openalex.org/W3125552545","https://openalex.org/W3164121007","https://openalex.org/W3169963727","https://openalex.org/W3178267986","https://openalex.org/W3200681023","https://openalex.org/W4200309633","https://openalex.org/W4312085881","https://openalex.org/W4323038210","https://openalex.org/W4386477932"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Let":[0,19],"G":[1,78,128],"=":[2],"(V":[3],"(G),":[4,26],"E(G))":[5],"be":[6,21,30],"a":[7,22,81],"simple":[8],"graph":[9,69,75,135],"with":[10],"vertex":[11,83,125],"set":[12,17,32],"V":[13,25,38,60],"(G)":[14,61],"and":[15,27,90,109,111,129],"edge":[16],"E(G).":[18],"S":[20,36,44,58],"subset":[23],"of":[24,33,35,43,52,66,98,127],"let":[28],"B(S)":[29],"the":[31,46,63,74,95,105],"neighbours":[34],"in":[37],"(G)\u2216S.":[39],"The":[40,49,68],"differential":[41,64],"\u2202(S)":[42,53],"is":[45,62,71],"number":[47],"|B(S)|\u2212|S|.":[48],"maximum":[50],"value":[51],"taken":[54],"over":[55],"all":[56],"subsets":[57],"\u2286":[59],"\u2202(G)":[65,108],"G.":[67],"R(G)":[70,130],"defined":[72],"as":[73],"obtained":[76],"from":[77],"by":[79,91],"adding":[80],"new":[82],"ve":[84,93],"for":[85,116],"each":[86],"e":[87],"\u2208":[88],"E(G),":[89],"joining":[92],"to":[94],"end":[96],"vertices":[97],"e.":[99],"In":[100],"this":[101],"paper":[102],"we":[103],"study":[104],"relationship":[106],"between":[107,123],"\u2202(R(G)),":[110],"give":[112],"tight":[113],"asymptotic":[114],"bounds":[115],"\u2202(R(G)).":[117],"We":[118],"also":[119],"exhibit":[120],"some":[121],"relationships":[122],"certain":[124],"sets":[126],"which":[131],"involve":[132],"well":[133],"known":[134],"theoretical":[136],"parameters.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":4}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2024-11-06T00:00:00"}
