Results 1 to 10 of about 189,310,264 (260)
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
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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
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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
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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 +1 more
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On Relationships of Eigenvalue–Based Topological Molecular Descriptors
Acta Chimica Slovenica, 2020 Three eigenvalue-based topological molecular descriptors are compared using several datasets of alkanes. Two of them are well-known and frequently employed in various QSPR/QSAR investigations, and third-one is a newly derived whose predictive potential ...
Izudin Redžepović, Boris Furtula
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Laplacian Sum-Eccentricity Energy of a Graph [PDF]
Mathematics Interdisciplinary Research, 2017 We introduce the Laplacian sum-eccentricity matrix LSe of a graph G, and its Laplacian sum-eccentricity energy LSeE=∑ni=1|ηi|, where ηi=ξi-(2m/n) and where ξ1,ξ2,...,ξn are the eigenvalues of LSe. Upper bounds for LSeE are obtained. A graph is said to be
Biligirirangaiah Sharada +2 more
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On Laplacian resolvent energy of graphs [PDF]
Transactions on Combinatorics, 2023 Let $G$ be a simple connected graph of order $n$ and size $m$. The matrix $L(G)=D(G)-A(G)$ is the Laplacian matrix of $G$, where $D(G)$ and $A(G)$ are the degree diagonal matrix and the adjacency matrix, respectively. For the graph $G$, let $d_{1}\geq d_{
Sandeep Bhatnagar +2 more
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Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs
Journal of Mathematics, 2022 Energy of a graph is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix associated with the graph. In this research work, we find color energy, distance energy, Laplacian energy, and Seidel energy for the Dutch windmill ...
Jing Wu +4 more
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Time-Dependent Lagrangian Energy Systems on Supermanifolds with Graph Bundles
Journal of Mathematics, 2021 The aim of this article is firstly to improve time-dependent Lagrangian energy equations using the super jet bundles on supermanifolds. Later, we adapted this study to the graph bundle.
Cansel Aycan, Simge Şimşek
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On the spectrum, energy and Laplacian energy of graphs with self-loops
Heliyon, 2023 The total energy of a conjugated molecule's π-electrons is a quantum-theoretical feature that has been known since the 1930s. It is determined using the Huckel tight-binding molecular orbital (HMO) method.
Ugasini Preetha P +2 more
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