{"id":"https://openalex.org/W2073429288","doi":"https://doi.org/10.1021/ci9501148","title":"A New Recursion Relation for the Characteristic Polynomial of a Molecular Graph","display_name":"A New Recursion Relation for the Characteristic Polynomial of a Molecular Graph","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2073429288","doi":"https://doi.org/10.1021/ci9501148","mag":"2073429288"},"language":"en","primary_location":{"id":"doi:10.1021/ci9501148","is_oa":false,"landing_page_url":"https://doi.org/10.1021/ci9501148","pdf_url":null,"source":{"id":"https://openalex.org/S171559003","display_name":"Journal of Chemical Information and Computer Sciences","issn_l":"0095-2338","issn":["0095-2338","1520-5142"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Chemical Information and Computer Sciences","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/A5016323291","display_name":"Vladimir R. Rosenfeld","orcid":"https://orcid.org/0000-0001-8076-4710"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Vladimir R. Rosenfeld","raw_affiliation_strings":["Department of Chemistry, Technion, Haifa 32000, Israel","Department of Chemistry, Technion, Haifa, 32000, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, Technion, Haifa 32000, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Chemistry, Technion, Haifa, 32000, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072814838","display_name":"\u0130van Gutman","orcid":"https://orcid.org/0000-0001-9681-1550"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ivan Gutman","raw_affiliation_strings":["Institute of Physical Chemistry, Attila Jozsef University, P.O. Box 105, Szeged, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physical Chemistry, Attila Jozsef University, P.O. Box 105, Szeged, Hungary","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4857,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.6385399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"36","issue":"3","first_page":"527","last_page":"530"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9973000288009644,"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.6751077175140381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6229914426803589},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5918207168579102},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.550783634185791},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4824683964252472},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.45391446352005005},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4533223509788513},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11131167411804199}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.6751077175140381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6229914426803589},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5918207168579102},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.550783634185791},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4824683964252472},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.45391446352005005},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4533223509788513},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11131167411804199},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1021/ci9501148","is_oa":false,"landing_page_url":"https://doi.org/10.1021/ci9501148","pdf_url":null,"source":{"id":"https://openalex.org/S171559003","display_name":"Journal of Chemical Information and Computer Sciences","issn_l":"0095-2338","issn":["0095-2338","1520-5142"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Chemical Information and Computer Sciences","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":9,"referenced_works":["https://openalex.org/W586977569","https://openalex.org/W651985948","https://openalex.org/W1559146381","https://openalex.org/W2018756269","https://openalex.org/W2246567367","https://openalex.org/W2323784209","https://openalex.org/W2325736576","https://openalex.org/W3004773996","https://openalex.org/W4240502307"],"related_works":["https://openalex.org/W1976679120","https://openalex.org/W2377519369","https://openalex.org/W3202311233","https://openalex.org/W4281614748","https://openalex.org/W32024214","https://openalex.org/W2765883196","https://openalex.org/W2034826746","https://openalex.org/W2396919090","https://openalex.org/W2379816237","https://openalex.org/W4301046126"],"abstract_inverted_index":{"A":[0],"recursion":[1,57],"relation":[2,58],"for":[3],"the":[4,51],"characteristic":[5,33],"polynomial":[6],"\u03c6":[7,22],"(":[8,23],"G":[9,15,24,42],")":[10,25],"of":[11,20,32,35,41,50,74],"a":[12,29,47],"molecular":[13],"graph":[14,78],"is":[16,26,46,59],"obtained,":[17],"by":[18],"means":[19],"which":[21],"expressed":[27],"as":[28,68,70],"linear":[30],"combination":[31],"polynomials":[34,73],"certain":[36],"edge-":[37],"and":[38],"vertex-deleted":[39],"subgraphs":[40],".":[43],"This":[44],"result":[45],"proper":[48],"generalization":[49],"long-known":[52],"Heilbronner":[53],"formula.":[54],"The":[55],"new":[56],"extended":[60],"to":[61,71],"graphs":[62],"with":[63],"weighted":[64],"edges":[65],"and/or":[66],"self-loops":[67],"well":[69],"other":[72],"importance":[75],"in":[76],"chemical":[77],"theory.":[79]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}