A New Method for the Sum-Edge Characteristic Polynomials of Graphs
dc.contributor.author | Öz, Mert Sinan | |
dc.contributor.author | Cangul, Ismail Naci | |
dc.date.accessioned | 2024-06-07T06:42:18Z | |
dc.date.available | 2024-06-07T06:42:18Z | |
dc.date.issued | 2022 | en_US |
dc.department | BTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In this paper, the determinant of the sum-edge adjacency matrix of any given graph without loops is calculated by means of an algebraic method using spanning elementary subgraphs and also the coefficients of the corresponding sum-edge characteristic polynomial are determined by means of the elementary subgraphs. Also, we provide a formula for calculating the number of smallest odd-sized cycles in a given regular graph. | en_US |
dc.identifier.doi | 10.5269/bspm.47918 | en_US |
dc.identifier.issn | 0037-8712 | |
dc.identifier.issn | 2175-1188 | |
dc.identifier.scopusquality | Q2 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12885/2241 | |
dc.identifier.volume | 40 | en_US |
dc.identifier.wos | WOS:000841490400038 | |
dc.institutionauthor | Öz, Mert Sinan | |
dc.institutionauthorid | https://orcid.org/0000-0002-6206-0362 | |
dc.language.iso | eng | en_US |
dc.publisher | Boletim da Sociedade Paranaense de Matematica | |
dc.relation.ispartof | Boletim da Sociedade Paranaense de Matematica | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Graphs | en_US |
dc.subject | Adjacency | en_US |
dc.subject | Sum-edge adjacency | en_US |
dc.subject | Characteristic polynomial | en_US |
dc.subject | Permutation | en_US |
dc.title | A New Method for the Sum-Edge Characteristic Polynomials of Graphs | en_US |
dc.type | article | en_US |
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