Add to ORKGThis study is an exposition of the article called Energy of a Graph is never the square root of an Odd Integer by S. Pirzada and I. Gutman. The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. In this thesis, the theorem initially proved by Bapat and Pati (Bull. Kerala Math. Assoc., 1 (2004), 129-134) is included: (a) E(G) is never an odd integer. The main objective of this study is to show that (b) E(G) is never the square root of an odd integer. In addition, if r and s are integers such that r ≥ 1 and 0 ≤ s ≤ -1 and q is an odd integer, then E(G) cannot be of the form (2sq)1/r, a result that implies (a) and (b) as special cases
AbstractThe energy of a graph/matrix is the sum of the absolute values of its eigenvalues. We invest...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
This study is an exposition of the article called Energy of a Graph is never the square root of an O...
The energy of a graph G is the sum of the absolute values of its eigenvalues. In this paper, we stud...
AbstractThe energy, E(G), of a simple graph G is defined to be the sum of the absolute values of the...
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. ...
It is shown that if the energy of a graph is rational then it must be an even integer. We consider s...
AbstractFor a simple graph G, the energy E(G) is defined as the sum of the absolute values of all th...
Eigenvalue of a graph is the eigenvalue of its adjacency matrix. The energy of a graph is the sum of...
Let G be a finite simple undirected graph with n vertices and m edges. The energy of a graph G , den...
Let G be a simple graph of order n. The energy E(G) of G is the sum of the absolute values of the e...
For a simple graph G=V,E with eigenvalues of the adjacency matrix λ1≥λ2≥⋯≥λn, the energy of the grap...
Let G be a finite simple undirected graph with n vertices and m edges. For v ∈ V, the 2-degree of v ...
AbstractGiven a graph G, its energyE(G) is defined as the sum of the absolute values of the eigenval...
AbstractThe energy of a graph/matrix is the sum of the absolute values of its eigenvalues. We invest...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
This study is an exposition of the article called Energy of a Graph is never the square root of an O...
The energy of a graph G is the sum of the absolute values of its eigenvalues. In this paper, we stud...
AbstractThe energy, E(G), of a simple graph G is defined to be the sum of the absolute values of the...
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. ...
It is shown that if the energy of a graph is rational then it must be an even integer. We consider s...
AbstractFor a simple graph G, the energy E(G) is defined as the sum of the absolute values of all th...
Eigenvalue of a graph is the eigenvalue of its adjacency matrix. The energy of a graph is the sum of...
Let G be a finite simple undirected graph with n vertices and m edges. The energy of a graph G , den...
Let G be a simple graph of order n. The energy E(G) of G is the sum of the absolute values of the e...
For a simple graph G=V,E with eigenvalues of the adjacency matrix λ1≥λ2≥⋯≥λn, the energy of the grap...
Let G be a finite simple undirected graph with n vertices and m edges. For v ∈ V, the 2-degree of v ...
AbstractGiven a graph G, its energyE(G) is defined as the sum of the absolute values of the eigenval...
AbstractThe energy of a graph/matrix is the sum of the absolute values of its eigenvalues. We invest...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...