Let G be a vertex colored graph. The minimum number χ(G) of colors needed for coloring of a graph G is called the chromatic number. Recently, Adiga et al. [1] have introduced the concept of color energy of a graph Ec(G) and computed the color energy of few families of graphs with χ(G) colors. In this paper we derive explicit formulas for the color energies of the unitary Cayley graph Xn, the complement of the colored unitary Cayley graph (Xn)c and some gcd-graphs
GLet be a graph on the vertices x , x ,..., xn . Its p-th power graph G p , has the same vertex set ...
two graph theoretical concepts of energy and chromatic number. The energy of a graph, the sum of the...
Abstract. A graph is called circulant if it is a Cayley graph on a cyclic group, i.e. its adjacency ...
Let G be a vertex colored graph. The minimum number χ(G) of colors needed for coloring of a graph G ...
In this paper, we introduce the concept of color energy of a graph, E C(G) and compute the color ene...
Given a colored graph G, its color energy Ec(G) is defined as the sum of the absolute values of the ...
AbstractThis work is based on ideas of Ilić [A. Ilić, The energy of unitary Cayley graphs, Linear Al...
AbstractA graph G of order n is called hyperenergetic if E(G)>2n-2, where E(G) denotes the energy of...
In this note we obtain the energy of unitary Cayley graph X-n which extends a result of R. Balakrish...
In this paper we introduce mixed unitary Cayley graph $M_{n}$ $(n>1)$ and compute its eigenval...
For a given colored graph G, the color energy is defined as Ec(G) = Σλi, for i = 1, 2,…., n; where λ...
In this paper, we introduce the concept of minimum boundary dominating color energy of a graph, EcD(...
In the current literature, two interesting and innovative energy concepts of a graph, namely, the co...
The b-chromatic number of a graph G is defined as the maximum number k of colors that can be used to...
In this paper, we introduce the concept of minimum dominating color energy of a graph.</div
GLet be a graph on the vertices x , x ,..., xn . Its p-th power graph G p , has the same vertex set ...
two graph theoretical concepts of energy and chromatic number. The energy of a graph, the sum of the...
Abstract. A graph is called circulant if it is a Cayley graph on a cyclic group, i.e. its adjacency ...
Let G be a vertex colored graph. The minimum number χ(G) of colors needed for coloring of a graph G ...
In this paper, we introduce the concept of color energy of a graph, E C(G) and compute the color ene...
Given a colored graph G, its color energy Ec(G) is defined as the sum of the absolute values of the ...
AbstractThis work is based on ideas of Ilić [A. Ilić, The energy of unitary Cayley graphs, Linear Al...
AbstractA graph G of order n is called hyperenergetic if E(G)>2n-2, where E(G) denotes the energy of...
In this note we obtain the energy of unitary Cayley graph X-n which extends a result of R. Balakrish...
In this paper we introduce mixed unitary Cayley graph $M_{n}$ $(n>1)$ and compute its eigenval...
For a given colored graph G, the color energy is defined as Ec(G) = Σλi, for i = 1, 2,…., n; where λ...
In this paper, we introduce the concept of minimum boundary dominating color energy of a graph, EcD(...
In the current literature, two interesting and innovative energy concepts of a graph, namely, the co...
The b-chromatic number of a graph G is defined as the maximum number k of colors that can be used to...
In this paper, we introduce the concept of minimum dominating color energy of a graph.</div
GLet be a graph on the vertices x , x ,..., xn . Its p-th power graph G p , has the same vertex set ...
two graph theoretical concepts of energy and chromatic number. The energy of a graph, the sum of the...
Abstract. A graph is called circulant if it is a Cayley graph on a cyclic group, i.e. its adjacency ...