Results 11 to 20 of about 9,569,640 (309)
Oboudi-Type Bounds for Graph Energy [PDF]
Mathematics Interdisciplinary Research, 2019 The graph energy is the sum of absolute values of the eigenvalues of the (0, 1)-adjacency matrix. Oboudi recently obtained lower bounds for graph energy, depending on the largest and smallest graph eigenvalue. In this paper, a few more Oboudi-type bounds
Ivan Gutman
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Journal for Research in Applied Sciences and Biotechnology, 2023 By given the adjacency matrix, laplacian matrix of a graph we can find the set of eigenvalues of graph in order to discussed about the energy of graph and laplacian energy of graph. (i.e. the sum of eigenvalues of adjacency matrix and laplacian matrix of a graph is called the energy of graph) and the laplacian energy of graph is greater or equal to ...
Najibullah Yousefi +2 more
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Open Journal of Discrete Applied Mathematics, 2021 The energy of a graph is the sum of absolute values of its eigenvalues. The nullity of a graph is the algebraic multiplicity of number zero in its spectrum. Empirical facts indicate that graph energy decreases with increasing nullity, but proving this property is difficult.
I. Gutman
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Seidel Switching and Graph Energy [PDF]
SSRN 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
W. Haemers
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Total π-electron energy and Laplacian energy: How far the analogy goes? [PDF]
Journal of the Serbian Chemical Society, 2007 The Laplacian energy LE is a newly introduced molecular-graph-based analog of the total π-electron energy E. It is shown that LE and E have a similar structure-dependency only when molecules of different sizes are compared, when a good linear correlation
Radenković Slavko, Gutman Ivan
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Randi�� Incidence Energy of Graphs [PDF]
Transactions on Combinatorics, 2014 11 ...
Gu, Ran, Huang, Fei, Li, Xueliang
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Graph Theory: A Lost Component For Development in Nigeria
Journal of Nigerian Society of Physical Sciences, 2022 Graph theory is one of the neglected branches of mathematics in Nigeria but with the most applications in other fields of research. This article shows the paucity, importance, and necessity of graph theory in the development of Nigeria.
Olayiwola Babarinsa
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McClelland-Type Upper Bounds for Graph Energy
Match-communications in Mathematical and in Computer Chemistry, 2022 Let G be a simple graph of order n, without isolated vertices. An important spectrum–based graph invariant is the graph energy. In this paper, we obtain several new upper bounds of the McClelland type on graph energy and characterize graphs for which ...
I. Milovanovic +3 more
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Estimating the total π-electron energy [PDF]
Journal of the Serbian Chemical Society, 2013 The paper gives a short survey of the most important lower and upper bounds for total π-electron energy, i.e., graph energy (E). In addition, a new lower and a new upper bound for E are deduced, valid for general molecular graphs.
Gutman Ivan, Das Kinkar Ch.
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Graph energy based centrality measures to detect epileptogenic focal invasive EEG electrodes.
Seizure, 2021 PURPOSE Medically intractable epilepsy can be treated with surgical interventions, which require localization of the cortical region where seizures start. This region is referred to as the epileptogenic zone (EZ).
N. G, Sathidevi Ps, Ameer Pm
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