In this paper, we consider the exponents and primitivity relationships between a simple graph and its double vertex graph. A sharp upper bound on exponents of ...
In this paper, we extend the definition of the double vertex graph of a graph to a directed graph, and establish some relationships between a directed graph and ...
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Dec 22, 2014 · A generalization is called a complete double vertex graph, denoted by CU2(G), and is similar to U2(G), except that the vertex set is all n+1 2 ...
Missing: exponents | Show results with:exponents
Let G = (V, E) be a graph of order n 2. The double vertex graph, U2(G), is the graph whose vertex set consists of all n 2 un- ordered pairs from V such ...
Missing: exponents | Show results with:exponents
We review the basic properties of double vertex graphs which will help us to study the problem of reconstructing G from U2(G). Observation 2.1. [2] If G has n ...
Missing: exponents | Show results with:exponents
Jan 6, 2019 · The double vertex graph of G is defined as the graph with vertex set all 2-subsets of V (G), where two vertices are adjacent in F2(G) whenever.
Missing: exponents | Show results with:exponents
For any graph G we have G × Tn = G ◦ Nn, where Nn is the graph on n vertices without edges. Proof. For simplicity consider Tn and Nn on the same vertex set.
In the mathematical discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G.
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Oct 18, 2018 · D(x) is supposed to be the exponential generating function for the number of connected graphs on n labelled vertices with maximum degree 2.
In this paper we solve this open problem by finding the packing number of the double vertex graph of the path graph. This double vertex graph is isomorphic to ...
Missing: exponents | Show results with:exponents