The adjacency spectrum of two new operations of graphs

On Zagreb Indices of Two New Operations of Graphs

“…The Cartesian product of graphs G and H, denoted by G H, is the graph with vertex set operations of graphs may be found in [13]. In 2017, Wang et al [16] proposed the following two operations of graphs and also studied their adjacency spectrum. We reproduce the figure in [16] to make the discussion self expository.…”

“…In 2017, Wang et al [16] proposed the following two operations of graphs and also studied their adjacency spectrum. We reproduce the figure in [16] to make the discussion self expository.…”

“…In this paper we consider two new operations of graphs proposed by Wang et al in [16] and establish explicit expressions for the Zagreb indices of these graph products in terms of the topological indices of the participating graphs. The rest of the paper is organized as follows.…”

Some Bond-Additive indices and Its Polynomial of Cellulose

“…In Quantitative Structure-Property Relationship (QSPR) and Quantitative Structure-Activity Relationship (QSAR) investigations, these topological descriptors are utilized to estimate the physicochemical and/or biological characteristics of molecules [20,41]. Several degree, spectrum, matching, and distance-based topological descriptors have been suggested and explored in the literature [37,42,5], some of the interesting indices are Sombor index, Steiner Gutman Index, Estrada index and Laplacian Estrada index of a graphs, see [43,38,39,44]. One of the oldest topological indices and most investigated is the Wiener index, after the successful of this index, Gutman et al [16] introduced the generalization of the Wiener index for a acyclic graph known as szeged(Sz) index.…”

“…Graph polynomials were utilized in chemistry in conjunction with the molecular orbital theory of unsaturated compounds, and they were also a valuable source of structural descriptors used in constructing structure property models. [7,14,15,33,42]. Distance-based and degree-based graph polynomials are useful because they contain a wealth of information about topological indices.…”