The Spectral Polynomials of Two Joining Graphs: Splices and Links

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Celik F., Sanli U., CANGÜL İ. N.

Boletim da Sociedade Paranaense de Matematica, cilt.40, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40
  • Basım Tarihi: 2022
  • Doi Numarası: 10.5269/bspm.48651
  • Dergi Adı: Boletim da Sociedade Paranaense de Matematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: Edge joining, Joining graphs, Link, Spectral polynomial, Splice, Vertex joining
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.