Results 91 to 100 of about 251,801 (209)

On the Distribution of Vertex Energy of Connected Non-Regular Non-Bipartite Integral Graphs with Maximum Vertex Degree Four

open access: yesScientific Annals of Computer Science
The energy of a vertex in a graph plays a very important role in terms of its contribution to the total energy of a graph, a significant graph invariant in the field of chemical graph theory.
P. N. Simha   +4 more
doaj   +1 more source

The energy of a graph

open access: yesLinear Algebra and its Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Some new relations between Sombor index and graph energy

open access: yesExamples and Counterexamples
Let G be a graph with {v1,…,vn} being vertices and di being the corresponding vertex degrees. The Sombor index of G is denoted by SO(G) and is defined by SO(G)=∑i∼jdi2+dj2 where i∼j means there exists an edge between the vertices vi and vj.
Abujafar Mandal, Sk. Md. Abu Nayeem
doaj   +1 more source

Seidel Switching and Graph Energy [PDF]

open access: yesSSRN Electronic Journal, 2012
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
openaire   +5 more sources

Color energy of a graph

open access: yes, 2013
In this paper, we introduce the concept of color energy of a graph, E C(G) and compute the color energy EX(G) of few families of graphs with minimum number of colors. It depends on the underlying graph and colors on its vertices.
Adiga, Chandrashekar   +3 more
core  

Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework

open access: yes
In this work, a modeling technique utilizing the P-Graph framework was used for a case study involving biomass-based local energy production. In recent years, distributed energy systems gained attention. These systems aim to satisfy energy supply demands,
Heriberto Cabezas   +2 more
core   +1 more source

Skew-spectra and skew energy of various products of graphs [PDF]

open access: yesTransactions on Combinatorics, 2015
Given a graph $G$, let $G^sigma$ be an oriented graph of $G$ with the orientation $sigma$ and skew-adjacency matrix $S(G^sigma)$. Then the spectrum of $S(G^sigma)$ consisting of all the eigenvalues of $S(G^sigma)$ is called the skew-spectrum of $G ...
Xueliang Li, Huishu Lian
doaj  

Choice number and energy of graphs

open access: yesLinear Algebra and its Applications, 2008
to appear in Linear Algebra and its ...
Akbari, Saieed, Ghorbani, Ebrahim
openaire   +3 more sources

Applications on color (distance) signless laplacian energy of annihilator monic prime graph of commutative rings

open access: yesAin Shams Engineering Journal
In this study, we define the structure formation of the annihilator monic prime graph of commutative rings, whose distinct vertices X and J satisfies a condition annXJ≠annX⋃ann(J), graph is denoted by AMPG(Zn[x]/〈fx〉).
R. Sarathy, J. Ravi Sankar
doaj   +1 more source

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