Comparative study of graph energies

I. Gutman

Displaying similar documents to “Comparative study of graph energies”

Equienergetic graphs

Harishchandra S. Ramane, Hanumappa B. Walikar, Siddani Bhaskara Rao, B. Devadas Acharya, Prabhakar R. Hampiholi, Sudhir R. Jog, Ivan Gutman (2004)

Kragujevac Journal of Mathematics

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Hyperenergetic and Hypoenergetic Graphs

Ivan Gutman (2011)

Zbornik Radova

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Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes

Gyula Y. Katona, Morteza Faghani, Ali Reza Ashrafi (2014)

Discussiones Mathematicae Graph Theory

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The energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n ≥ 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fullerene graphs, a lower bound for its energy is given. Our method is general and can be extended to other class of fullerene graphs.

Bounds for the Hückel energy of a graph.

Ghorbani, Ebrahim, Koolen, Jack H., Yang, Jae Young (2009)

The Electronic Journal of Combinatorics [electronic only]

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Hyperenergetic graphs and cyclomatic number

X. Shen, Y. Hou, I. Gutman, X. Hui (2010)

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Remarks on the bounds of graph energy in terms of vertex cover number or matching number

Xiaodan Chen, Xiaoqian Liu (2021)

Czechoslovak Mathematical Journal

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We give a novel upper bound on graph energy in terms of the vertex cover number, and present a complete characterization of the graphs whose energy equals twice their matching number.