Results 221 to 230 of about 236,543 (259)

From Ultimate Energy to Graph Energies

MATCH – Communications in Mathematical and in Computer Chemistry, 2023
A lower bound is given for the ultimate energy, which is applicable to all graph energies. The extremal characterization is provided for the energy and Laplacian energy when the graph is connected.
Cai, Jin, Zhou, Bo
openaire   +1 more source

A Note on Energy and Sombor Energy of Graphs

MATCH Communications in Mathematical and in Computer Chemistry, 2022
Summary: For a graph \(G\) with \(V(G)=\{v_1,v_2,\dots, v_n\}\) and degree sequence \((d_{v_1},d_{v_2},\dots,d_{v_n})\), the adjacency matrix \(A(G)\) of \(G\) is a \((0,1)\) square matrix of order \(n\) with \(ij\)-th entry \(1\), if \(v_i\) is adjacent to \(v_j\) and \(0\), otherwise.
Rather, Bilal Ahmad, Imran, Muhammad
openaire   +2 more sources

On energy and Laplacian energy of chain graphs

Discrete Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Chandra Das   +2 more
openaire   +2 more sources

Phased graphs and graph energies

Journal of Mathematical Chemistry, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klein, Douglas J.   +1 more
openaire   +1 more source

Network Energy: A New Energy of A Graph

2019 IEEE 14th International Conference on Intelligent Systems and Knowledge Engineering (ISKE), 2019
The energy of the graph can be used estimating the altogether $\Pi$-electron energy of the given conjugated hydrocarbons, which was shown as the summation of absolute values of the whole eigenvalue of the adjacency matrix of the graph. We introduce a new energy of a graph in this literature and name it as network energy.
Shengjiu Liu   +5 more
openaire   +1 more source

On energy and Laplacian energy of bipartite graphs

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Chandra Das   +2 more
openaire   +2 more sources

On the Laplacian energy of a graph

Czechoslovak Mathematical Journal, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On Sombor Index and Graph Energy

MATCH Communications in Mathematical and in Computer Chemistry, 2022
Summary: Sombor index is a recently introduced degree based graph topological index. For a graph \(G\), it is defined as \[ SO(G)=\sum\limits_{uv\in E(G)}\sqrt{d_u^2+d_v^2}, \] where \(d_u\) denotes the degree of the vertex \(u\) in \(G\). Within a short period of time after introduction of this index by \textit{I. Gutman} [MATCH Commun. Math.
Reja, Mohammed Selim   +1 more
openaire   +1 more source

Signless Laplacian energy of a graph and energy of a line graph

Linear Algebra and its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hilal A. Ganie   +2 more
openaire   +2 more sources

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