A group is called 2-genetic if each normal subgroup of the group can be generated by two elements.For an odd prime p and a positive integer n,let G be a non
Let G be a graph with vertex set V(G)and edge set E(G).The first generalized multiplicative Zagreb index of G is defined as ∏1;c(G)=∏v∈V(G)d(v)c for a re
A strong edge coloring is an edge coloring such that every color class is an induced matching.In other words,every path with three edges has three distinct
Let G be a graph with m edges.The subdivision graph(S)(G)of G is the graph obtained by inserting a new vertex into every edge of G.Denote by I(G)the set of
Let G be a graph,and let A(G)denote the adjacency matrix of G.The permanental polynomial of G is defined as π(G,x)=per(xI-A(G)).The permanental spectrum of
In this talk,we give formulas for resistance distances and Kirchhoff indices of some composite graphs,and obtain formulas for the Kirchhoff index,Laplacian-
Being motivated in terms of mathematical concepts from the theory of electrical networks,Klein and Ivanciuc introduced and studied a new graph-theoretic cyc
It is well-known that the n-dimensional hypercube Qn is one of the most versatile and efficient interconnection network architecture yet discovered for buil
A linear k-forest of an undirected graph G is a subgraph of G whose components are paths with lengths at most k.The linear k-arboricity of G,denoted by lak(