Abstract: The energy of a graph Γ is the sum of the absolute values of the eigenvalues of the adjacency matrix of Γ. Seidel switching is an operation on the edge set of Γ. In some special cases Seidel switching does not change the spectrum, and therefore the energy. Here we investigate when Seidel switching changes the spectrum, but not the energy. We present an infinite family of examples with very large (possibly maximal) energy. The Seidel energy S(Γ) of Γ is defined to be the sum of the absolute values of the eigenvalues of the Seidel matrix of G. It follows that S(Γ) is invariant under Seidel switching and taking complements. We obtain upper and lower bounds for S(Γ), characterize equality for the upper bound, and formulate a conjectur...
AbstractThe energy of a graph is the sum of the singular values of its adjacency matrix. We are inte...
AbstractThe energy of a graph G, denoted by E(G), is defined as the sum of the absolute values of al...
Abstract. Let G be a simple graph with n vertices and m edges. The ordinary energy of the graph is d...
The energy of a graph Γ is the sum of the absolute values of the eigenvalues of the adjacency matrix...
The Seidel energy of a simple graph G is the sum of the absolute values of the eigenvalues of the Se...
Graf spektrası, üzerinde tanımlanan M matrisinin öz değer çalışmalarıdır. Literatürde M-teori olarak...
The Seidel matrix S(G) of a graph G is the square matrix whose (i, j)-entry is equal to -1 or 1 if t...
This paper includes new bounds concepting the Seidel incidence energy. In the sequel, improved bound...
The studies on the energy of a graph have been actively studied since 1978 and there have been vario...
A graph G of order n is said to be Seidel borderenergetic if its Seidel energy equals the Seidel ene...
AbstractThe energy of a graph/matrix is the sum of the absolute values of its eigenvalues. We invest...
We use a lemma due to Fiedler to obtain eigenspaces of some graphs and apply these results to graph ...
AbstractGiven a graph G, its energyE(G) is defined as the sum of the absolute values of the eigenval...
The energy of a graph is the sum of the absolute values of its eigenvalues. We propose a new problem...
Let G be a graph on n vertices and m edges, with maximum degree Δ(G) and minimum degree δ(G). Let A ...
AbstractThe energy of a graph is the sum of the singular values of its adjacency matrix. We are inte...
AbstractThe energy of a graph G, denoted by E(G), is defined as the sum of the absolute values of al...
Abstract. Let G be a simple graph with n vertices and m edges. The ordinary energy of the graph is d...
The energy of a graph Γ is the sum of the absolute values of the eigenvalues of the adjacency matrix...
The Seidel energy of a simple graph G is the sum of the absolute values of the eigenvalues of the Se...
Graf spektrası, üzerinde tanımlanan M matrisinin öz değer çalışmalarıdır. Literatürde M-teori olarak...
The Seidel matrix S(G) of a graph G is the square matrix whose (i, j)-entry is equal to -1 or 1 if t...
This paper includes new bounds concepting the Seidel incidence energy. In the sequel, improved bound...
The studies on the energy of a graph have been actively studied since 1978 and there have been vario...
A graph G of order n is said to be Seidel borderenergetic if its Seidel energy equals the Seidel ene...
AbstractThe energy of a graph/matrix is the sum of the absolute values of its eigenvalues. We invest...
We use a lemma due to Fiedler to obtain eigenspaces of some graphs and apply these results to graph ...
AbstractGiven a graph G, its energyE(G) is defined as the sum of the absolute values of the eigenval...
The energy of a graph is the sum of the absolute values of its eigenvalues. We propose a new problem...
Let G be a graph on n vertices and m edges, with maximum degree Δ(G) and minimum degree δ(G). Let A ...
AbstractThe energy of a graph is the sum of the singular values of its adjacency matrix. We are inte...
AbstractThe energy of a graph G, denoted by E(G), is defined as the sum of the absolute values of al...
Abstract. Let G be a simple graph with n vertices and m edges. The ordinary energy of the graph is d...