Results 71 to 80 of about 168,009,036 (204)
On the Change of Distance Energy of Complete Bipartite Graph due to Edge Deletion
The distance energy of a graph is defined as the sum of absolute values of distance eigenvalues of the graph. The distance energy of a graph plays an important role in many fields.
Shaowei Sun, Ziyan Wan
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For a simple graph $G$ with adjacency matrix $A(G)$, let $π(G,x):=\mathrm{per}(xI-A(G))$ be its permanental polynomial with roots $μ_1,\ldots,μ_n \in \mathbb{C}$, and define the permanental energy $E_{\mathrm{per}}(G):=\sum_{i=1}^n |μ_i|$. We prove a sharp universal lower bound: for every $m$-edge graph $G$, $E_{\mathrm{per}}(G) \ge 2\sqrt{m}$, with ...
Priyanshu Pant, Ranveer Singh
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Business and industry e, energy, resources
Title from p. [1] of PDF (viewed Mar. 13, 2006).; "Created: 9/7/2005...; Modified 9/21/2005"--Document properties screen.; Designed to be printed on one sheet, front and back, and then folded into a pamphlet.; Harvested from the web on 3/14/06Lists low ...
Ohio. Office of Energy Efficiency.
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A novel algebraic technique for adjacency matrices of some derived graphs
Graph energy has been the main concern of spectral graph theory in the last five decades. The classical graph energy is the sum of the absolute values of the eigenvalues of the adjacency matrix. In many research papers, different versions of graph energy
Hacer Ozden Ayna +5 more
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Centrosymmetric graphs and a lower bound for graph energy of fullerenes
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Reza Ashrafi +2 more
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Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs [PDF]
We study the conservation of energy of the linear wave equation on an equilateral quantum graph. We equipped the quantum graph with Dirichlet and Neumann-Kirchhoff.
Burhan Mohammad Januar Ismail +1 more
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Energy Models for Graph Clustering
Summary: The cluster structure of many real-world graphs is of great interest, as the clusters may correspond e.g. to communities in social networks or to cohesive modules in software systems. Layouts can naturally represent the cluster structure of graphs by grouping densely connected nodes and separating sparsely connected nodes.
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Graph’s Topology and Free Energy of a Spin Model on the Graph
In this work we show that there is a direct relationship between a graph's topology and the free energy of a spin system on the graph. We develop a method of separating topological and enthalpic contributions to the free energy, and find that considering the topology is sufficient to qualitatively compare the free energies of different graph systems at
Choi, Jeong-Mo +2 more
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ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP
A graph is a mathematical structure consisting of a non-empty set of vertices and a set of edges connecting these vertices. In recent years, extensive research on graphs has been conducted, with one of the intriguing topics being the representation of ...
Gusti Yogananda Karang +2 more
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This case study is the latest in a series on industrial firms who are implementing energy efficient technologies and system improvements into their manufacturing processes.
Energy, U.S. Department of
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