Results 21 to 30 of about 168,009,036 (204)

Time-Dependent Lagrangian Energy Systems on Supermanifolds with Graph Bundles

open access: yesJournal 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
doaj   +1 more source

Bounds for the Energy of Graphs

open access: yesHacettepe Journal of Mathematics and Statistics, 2016
© 2016, Hacettepe University. All rights reserved. The energy of a graph G, denoted by E(G), is the sum of the absolute values of all eigenvalues of G. In this paper we present some lower and upper bounds for E(G) in terms of number of vertices, number of edges, and determinant of the adjacency matrix.
DAS, Kinkar Ch., GUTMAN, İvan
openaire   +3 more sources

Bounds on Energy and Laplacian Energy of Graphs [PDF]

open access: yesJournal of the Indonesian Mathematical Society, 2017
Let G be simple graph with n vertices and m edges. The energy E(G) of G, denotedby E(G), is dened to be the sum of the absolute values of the eigenvalues of G. Inthis paper, we present two new upper bounds for energy of a graph, one in terms ofm,n and another in terms of largest absolute eigenvalue and the smallest absoluteeigenvalue.
Sridhara, G., Kanna, Rajesh M. R.
openaire   +2 more sources

Investigation of the Main Energies of Picture Fuzzy Graph and its Applications

open access: yesInternational Journal of Computational Intelligence Systems, 2022
Picture fuzzy graph, belonging to fuzzy graphs family, has good capabilities at times when we are faced with problems that cannot be expressed by fuzzy graphs and intuitionistic fuzzy graphs.
Xiaolong Shi   +4 more
doaj   +1 more source

On the spectrum, energy and Laplacian energy of graphs with self-loops

open access: yesHeliyon, 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
doaj   +1 more source

Relating graph energy with vertex-degree-based energies [PDF]

open access: yesVojnotehnički 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
doaj   +1 more source

On Laplacian energy of graphs

open access: yesDiscrete Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Chandra Das, Seyed Ahmad Mojallal
openaire   +1 more source

Computing the Energy and Estrada Index of Different Molecular Structures

open access: yesJournal of Chemistry, 2022
Graph energy is an invariant that is derived from the spectrum of the adjacency matrix of a graph. Graph energy is actually the absolute sum of all the eigenvalues of the adjacency matrix of a graph i.e.
Zeeshan Saleem Mufti   +5 more
doaj   +1 more source

Graph Theory: A Lost Component For Development in Nigeria

open access: yesJournal 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
doaj   +1 more source

On Laplacian resolvent energy of graphs [PDF]

open access: yesTransactions 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
doaj   +1 more source

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