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A new method for the sum-edge characteristic polynomials of graphs
- Source :
- Boletim da Sociedade Paranaense de Matemática, Vol 40 (2022)
- Publication Year :
- 2022
- Publisher :
- Sociedade Brasileira de Matemática, 2022.
-
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 gave a formula for the number of smallest odd-sized cycles in a given regular graph.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English, Portuguese
- ISSN :
- 00378712 and 21751188
- Volume :
- 40
- Database :
- Directory of Open Access Journals
- Journal :
- Boletim da Sociedade Paranaense de Matemática
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8683be2406f450c9ca96b707b71d7fd
- Document Type :
- article
- Full Text :
- https://doi.org/10.5269/bspm.47918