Results 11 to 20 of about 102,179 (232)

Color signless Laplacian energy of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2017
In this paper, we introduce the new concept of color Signless Laplacian energy . It depends on the underlying graph and the colors of the vertices. Moreover, we compute color signless Laplacian spectrum and the color signless Laplacian energy of families
Pradeep G. Bhat, Sabitha D’Souza
doaj   +2 more sources

On Distance Signless Laplacian Spectral Radius and Distance Signless Laplacian Energy

open access: yesMathematics, 2020
In this article, we find sharp lower bounds for the spectral radius of the distance signless Laplacian matrix of a simple undirected connected graph and we apply these results to obtain sharp upper bounds for the distance signless Laplacian energy graph.
Luis Medina, Hans Nina, Macarena Trigo
doaj   +3 more sources

On Laplacian energy of graphs

open access: yesDiscrete Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Ch., Mojallal, Seyed Ahmad
openaire   +3 more sources

A Phase Congruency and Local Laplacian Energy Based Multi-Modality Medical Image Fusion Method in NSCT Domain

open access: yesIEEE Access, 2019
Multi-modality image fusion provides more comprehensive and sophisticated information in modern medical diagnosis, remote sensing, video surveillance, and so on.
Zhiqin Zhu   +4 more
doaj   +3 more sources

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

Novel Concept of Energy in Bipolar Single-Valued Neutrosophic Graphs with Applications

open access: yesAxioms, 2021
The energy of a graph is defined as the sum of the absolute values of its eigenvalues. Recently, there has been a lot of interest in graph energy research.
Siti Nurul Fitriah Mohamad   +3 more
doaj   +1 more source

On Eccentricity Version of Laplacian Energy of a Graph [PDF]

open access: yesMathematics Interdisciplinary Research, 2017
The energy of a graph G is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of G, whereas the Laplacian energy of a graph G is equal to the sum of the absolute value of the difference between the eigenvalues of the Laplacian
Nilanjan De
doaj   +1 more source

NORMALIZED LAPLACIAN ENERGY AND NORMALIZED LAPLACIAN-ENERGY-LIKE INVARIANT OF SOME DERIVED GRAPHS

open access: yesMatematički Vesnik, 2022
Summary: For a connected graph \(G\), the smallest normalized Laplacian eigenvalue is 0 while all others are positive and the largest cannot exceed the value 2. The sum of absolute deviations of the eigenvalues from 1 is called the normalized Laplacian energy, denoted by \(\mathbb{LE}(G)\).
Amin, Ruhul, Abu Nayeem, Sk. Md.
openaire   +2 more sources

Monophonic Distance Laplacian Energy of Transformation Graphs Sn^++-,Sn^{+-+},Sn^{+++}

open access: yesRatio Mathematica, 2023
Let $G$ be a simple connected graph of order $n$, $v_{i}$ its vertex. Let $\delta^{L}_{1}, \delta^{L}_{2}, \ldots, \delta^{L}_{n}$ be the eigenvalues of the distance Laplacian matrix $D^{L}$ of $G$. The distance Laplacian energy is denoted by $LE_{D}(G)$.
Diana R, Binu Selin T
doaj   +1 more source

On Laplacian Equienergetic Signed Graphs

open access: yesJournal of Mathematics, 2021
The Laplacian energy of a signed graph is defined as the sum of the distance of its Laplacian eigenvalues from its average degree. Two signed graphs of the same order are said to be Laplacian equienergetic if their Laplacian energies are equal.
Qingyun Tao, Lixin Tao
doaj   +1 more source

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