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Color Energy Of A Unitary Cayley Graph

Discussiones Mathematicae Graph Theory, 2014
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.
Adiga Chandrashekar, Sampathkumar E., Sriraj M.A.   +2 more
doaj   +4 more sources

The Degree Energy of a Graph

Mathematics
The incidence of edges on vertices is a cornerstone of graph theory, with profound implications for various graph properties and applications. Understanding degree distributions and their implications is crucial for analyzing and modeling real-world ...
A. R. Nagalakshmi, A. S. Shrikanth, G. K. Kalavathi, K. S. Sreekeshava   +3 more
doaj   +2 more sources

On Eccentricity Version of Laplacian Energy of a Graph [PDF]

Mathematics Interdisciplinary Research, 2017
The energy of a graph G is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of G, whereas the Laplacian energy of a graph G is equal to the sum of the absolute value of the difference between the eigenvalues of the Laplacian
Nilanjan De
doaj   +3 more sources

Relations between ordinary energy and energy of a self-loop graph

Heliyon
Let G be a graph on n vertices with vertex set V(G) and let S⊆V(G) with |S|=α. Denote by GS, the graph obtained from G by adding a self-loop at each of the vertices in S.
B.R. Rakshith, Kinkar Chandra Das, B.J. Manjunatha, Yilun Shang   +3 more
doaj   +3 more sources

Energy of a graph and Randic index [PDF]

Linear Algebra and its Applications, 2021
7 ...
Arizmendi, Gerardo, Arizmendi, Octavio
openaire   +3 more sources

Relating graph energy with vertex-degree-based energies [PDF]

Vojnotehnički Glasnik, 2020
Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants.
Ivan Gutman
doaj   +1 more source

Upper bounds for the extended energy of graphs and some extended equienergetic graphs [PDF]

Opuscula Mathematica, 2018
In this paper, we give two upper bounds for the extended energy of a graph one in terms of ordinary energy, maximum degree and minimum degree of a graph, and another bound in terms of forgotten index, inverse degree sum, order of a graph and minimum ...
Chandrashekar Adiga, B. R. Rakshith
doaj   +1 more source

Asymptotic energy of connected cubic circulant graphs

AKCE International Journal of Graphs and Combinatorics, 2021
In this article, we compute the oblique asymptote of the energy function for all connected cubic circulant graphs. Moreover, we show that this oblique asymptote is an upper bound for the energies of two of the subclasses of Möbius ladder graphs and lower
Alper Bulut, Ilhan Hacioglu
doaj   +1 more source

More Equienergetic Signed Graphs [PDF]

Mathematics Interdisciplinary Research, 2017
The energy of signed graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. Two signed graphs are said to be equienergetic if they have same energy.
Harishchandra S. ‎Ramane, Mahadevappa M. Gundloor   +1 more
doaj   +1 more source

Randic Type Hadi Energy of a Graph

The Nepali Mathematical Sciences Report, 2022
Randić index is one of the most famous topological graph indices. The energy of a graph was defined more than four decades ago for its molecular applications. The classical energy of a graph modeling a molecule is defined as the sum of absolute values of all the eigenvalues of the adjacency matrix corresponding to the modeling graph.
Reddy, P. S. K., Prakasha, K. N., Cangul, Ismail Naci   +2 more
openaire   +1 more source