{"id":"https://openalex.org/W4404081619","doi":"https://doi.org/10.1051/ro/2024212","title":"The differential on graph operator R(<i>G</i>)","display_name":"The differential on graph operator R(<i>G</i>)","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/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"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":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jes\u00fas Lea\u00f1os Mac\u00edas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066700175","display_name":"Omar Rosario","orcid":"https://orcid.org/0000-0002-8909-1978"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Omar Rosario Cayetano","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8909-1978","affiliations":[]},{"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":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2333,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.92989561,"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/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"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/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"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":[0,30],"G":[1,6,10,21,28,38,56,93,100,103,108,117,131,155,160,170,182,185],"=":[2],"(":[3,5,9,20,27,37,43,55,63,72,82,92,99,130,154],"V":[4,19,36,54,91],"),":[7,39,132],"E":[8,26,129],"))":[11],"be":[12,32,46],"a":[13,33,120],"simple":[14],"graph":[15,106,114,191],"with":[16],"vertex":[17,122,179],"set":[18,25,48],")":[22,45,57,65,74,84,94,101,109,156,186],"and":[23,40,133,157,162,183],"edge":[24],").":[29],"S":[31,44,52,64,67,73,83,89],"subset":[34],"of":[35,49,51,66,80,102,142,181],"let":[41],"B":[42],"the":[47,69,96,113,139,150],"neighbours":[50],"in":[53],"\u2216S":[58],".":[59,76,104,144],"The":[60,77,105],"differential":[61,97],"\u2202":[62,81,98,153,158,168],"is":[68,95,110],"number":[70],"|B":[71],"|\u2212|S|":[75],"maximum":[78],"value":[79],"taken":[85],"over":[86],"all":[87],"subsets":[88],"\u2286":[90],"R(":[107,184],"defined":[111],"as":[112],"obtained":[115],"from":[116],"by":[118,134],"adding":[119],"new":[121],"v":[123,136],"e":[124,127,137,143],"for":[125,167],"each":[126],"\u2208":[128],"joining":[135],"to":[138],"end":[140],"vertices":[141],"In":[145],"this":[146],"paper":[147],"we":[148],"study":[149],"relationship":[151],"between":[152,177],"(R(":[159,169],")),":[161],"give":[163],"tight":[164],"asymptotic":[165],"bounds":[166],")).":[171],"We":[172],"also":[173],"exhibit":[174],"some":[175],"relationships":[176],"certain":[178],"sets":[180],"which":[187],"involve":[188],"well":[189],"known":[190],"theoretical":[192],"parameters.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2024-11-06T00:00:00"}
