The Spectral Polynomials of Two Joining Graphs: Splices and Links
Boletim da Sociedade Paranaense de Matematica, vol.40, 2022 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 40
- Publication Date: 2022
- Doi Number: 10.5269/bspm.48651
- Journal Name: Boletim da Sociedade Paranaense de Matematica
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Keywords: Edge joining, Joining graphs, Link, Spectral polynomial, Splice, Vertex joining
- Open Archive Collection: AVESIS Open Access Collection
- Bursa Uludag University Affiliated: Yes
Abstract
Energy of a graph, firstly defined by E. Hückel as the sum of absolute values of the eigenvalues of the adjacency matrix, in other words the sum of absolute values of the roots of the characteristic (spectral) polynomials, is an important sub area of graph theory. Symmetry and regularity are two important and desired properties in many areas including graphs. In many molecular graphs, we have a pointwise symmetry, that is the graph corresponding to the molecule under investigation has two identical subgraphs which are symmetrical at a vertex. Therefore, in this paper, we shall study only the vertex joining graphs. In this article we study the characteristic polynomials of the two kinds of joining graphs called splice and link graphs of some well known graph classes.