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Erschienen in:
16.03.2020 | Original Research
Ordering of c-cyclic graphs with respect to total irregularity
Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2020
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Abstract
Let G be a graph with vertex set V(G). The total irregularity of G is defined as \(irr_t(G)=\sum _{\{u,v\}\subseteq V(G)}|deg_G(u)-deg_G(v)|\), where \(deg_G(v)\) is the degree of the vertex v of G. The cyclomatic number of G is defined as \(c = m - n + k\), where m, n and k are the number of edges, vertices and components of G, respectively. In this paper, an ordering of connected graphs and connected chemical graphs with cyclomatic number c with respect to total irregularity are given.