{"id":"https://openalex.org/W4407790245","doi":"https://doi.org/10.3390/axioms14030148","title":"Enumerating the Number of Spanning Trees of Pyramid Graphs Based on Some Nonahedral Graphs","display_name":"Enumerating the Number of Spanning Trees of Pyramid Graphs Based on Some Nonahedral Graphs","publication_year":2025,"publication_date":"2025-02-20","ids":{"openalex":"https://openalex.org/W4407790245","doi":"https://doi.org/10.3390/axioms14030148"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030148","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030148","pdf_url":"https://www.mdpi.com/2075-1680/14/3/148/pdf?version=1740037995","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/3/148/pdf?version=1740037995","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111349495","display_name":"Ahmad Asiri","orcid":"https://orcid.org/0009-0008-5943-1290"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ahmad Asiri","raw_affiliation_strings":["Department of Mathematics, Applied College at Mahail Aseer, King Khalid University, Abha 61421, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Applied College at Mahail Aseer, King Khalid University, Abha 61421, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007160556","display_name":"S. N. Daoud","orcid":"https://orcid.org/0000-0003-3809-2521"},"institutions":[{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]},{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Salama Nagy Daoud","raw_affiliation_strings":["Department of Mathematics and Computer Sciences, Faculty of Science, Menoufia University, Shebin El Kom 32511, Egypt","Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Nunawara 30001, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, Faculty of Science, Menoufia University, Shebin El Kom 32511, Egypt","institution_ids":["https://openalex.org/I63601056"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Nunawara 30001, Saudi Arabia","institution_ids":["https://openalex.org/I23075662"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007160556"],"corresponding_institution_ids":["https://openalex.org/I23075662","https://openalex.org/I63601056"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.6177,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81570019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"148","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.998199999332428,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.998199999332428,"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":0.9980000257492065,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9965000152587891,"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/combinatorics","display_name":"Combinatorics","score":0.6705560088157654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.591230571269989},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.558127760887146},{"id":"https://openalex.org/keywords/pyramid","display_name":"Pyramid (geometry)","score":0.5188716053962708},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.4976988136768341},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.49387699365615845},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3208805322647095},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2125997543334961},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07190394401550293}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6705560088157654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.591230571269989},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.558127760887146},{"id":"https://openalex.org/C142575187","wikidata":"https://www.wikidata.org/wiki/Q3358290","display_name":"Pyramid (geometry)","level":2,"score":0.5188716053962708},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.4976988136768341},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.49387699365615845},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3208805322647095},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2125997543334961},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07190394401550293}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030148","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030148","pdf_url":"https://www.mdpi.com/2075-1680/14/3/148/pdf?version=1740037995","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ab3920d626574cb480285916b32afa4a","is_oa":true,"landing_page_url":"https://doaj.org/article/ab3920d626574cb480285916b32afa4a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 3, p 148 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030148","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030148","pdf_url":"https://www.mdpi.com/2075-1680/14/3/148/pdf?version=1740037995","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7812605765","display_name":null,"funder_award_id":"RGP.2/372/45","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"}],"funders":[{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407790245.pdf","grobid_xml":"https://content.openalex.org/works/W4407790245.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1769824058","https://openalex.org/W1888793072","https://openalex.org/W1987430956","https://openalex.org/W1997371824","https://openalex.org/W2013872122","https://openalex.org/W2023008179","https://openalex.org/W2029673229","https://openalex.org/W2049204396","https://openalex.org/W2061309095","https://openalex.org/W2064750898","https://openalex.org/W2068861748","https://openalex.org/W2149141576","https://openalex.org/W2539956009","https://openalex.org/W2742401916","https://openalex.org/W2901317875","https://openalex.org/W2902620750","https://openalex.org/W2916252905","https://openalex.org/W2922366535","https://openalex.org/W2945335975","https://openalex.org/W3084098709"],"related_works":["https://openalex.org/W2157783000","https://openalex.org/W4287117052","https://openalex.org/W4206705200","https://openalex.org/W2966902162","https://openalex.org/W1893557706","https://openalex.org/W4214565117","https://openalex.org/W2407722793","https://openalex.org/W2117848356","https://openalex.org/W2014290730","https://openalex.org/W1970195683"],"abstract_inverted_index":{"The":[0],"enumeration":[1],"of":[2,16,34,43,54,57,60,78],"spanning":[3,58],"trees":[4,59],"in":[5],"various":[6],"graph":[7,63],"forms":[8],"has":[9],"been":[10,84],"made":[11],"easier":[12],"by":[13,23],"the":[14,37,51,55],"study":[15],"electrically":[17,38],"equivalent":[18,39],"transformations,":[19],"which":[20],"was":[21],"motivated":[22],"Kirchhoff\u2019s":[24],"work":[25],"on":[26,66],"electrical":[27],"networks.":[28],"In":[29],"this":[30],"work,":[31],"using":[32],"knowledge":[33],"difference":[35],"equations,":[36],"transformations":[40],"and":[41],"rules":[42],"weighted":[44],"generating":[45],"function":[46],"are":[47],"used":[48],"to":[49],"calculate":[50],"explicit":[52],"formulas":[53],"number":[56],"novel":[61],"pyramid":[62],"types":[64],"based":[65],"some":[67],"nonahedral":[68],"graphs.":[69],"Lastly,":[70],"we":[71],"compare":[72],"our":[73],"graphs\u2019":[74],"entropy":[75],"with":[76],"that":[77,82],"other":[79],"average-degree":[80],"graphs":[81],"have":[83],"researched.":[85]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-13T14:20:09.374765","created_date":"2025-10-10T00:00:00"}