Results 31 to 40 of about 6,081 (145)

Some Chemistry Indices of Clique-Inserted Graph of a Strongly Regular Graph

open access: yesComplexity, 2021
In this paper, we give the relation between the spectrum of strongly regular graph and its clique-inserted graph. The Laplacian spectrum and the signless Laplacian spectrum of clique-inserted graph of strongly regular graph are calculated.
Chun-Li Kan   +3 more
doaj   +2 more sources

Sharp Bounds on (Generalized) Distance Energy of Graphs [PDF]

open access: yesMathematics, 2020
Given a simple connected graph G, let D ( G ) be the distance matrix, D L ( G ) be the distance Laplacian matrix, D Q ( G ) be the distance signless Laplacian matrix, and T r ( G ) be the vertex transmission ...
Abdollah Alhevaz   +3 more
doaj   +3 more sources

Minimum dominating signless laplacian graph energy

open access: diamondJournal of Physics: Conference Series, 2020
Abstract Minimum dominating graph energy was proposed by Rajesh Kanna et al.[11] in 2013. I propose the Minumum dominating signless laplacian graph energy L D
Kavita S Permi
openalex   +2 more sources

On some aspects of the generalized Petersen graph [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2017
Let $p \ge 3$ be a positive integer and let $k \in {1, 2, ..., p-1} \ \lfloor p/2 \rfloor$. The generalized Petersen graph GP(p,k) has its vertex and edge set as $V(GP(p, k)) = \{u_i : i \in Zp\} \cup \{u_i^\prime : i \in Z_p\}$ and $E(GP(p, k)) = \{u_i ...
V. Yegnanarayanan
doaj   +3 more sources

On the signless Laplacian energy of a digraph

open access: yesIndian Journal of Pure and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. A. Ganie
semanticscholar   +3 more sources

On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs

open access: yesJournal of Mathematics, 2016
Coalescence as one of the operations on a pair of graphs is significant due to its simple form of chromatic polynomial. The adjacency matrix, Laplacian matrix, and signless Laplacian matrix are common matrices usually considered for discussion under ...
S. R. Jog, Raju Kotambari
doaj   +2 more sources

Merging the Spectral Theories of Distance Estrada and Distance Signless Laplacian Estrada Indices of Graphs [PDF]

open access: yesMathematics, 2019
Suppose that G is a simple undirected connected graph. Denote by D ( G ) the distance matrix of G and by T r ( G ) the diagonal matrix of the vertex transmissions in G, and let α ∈ [ 0 , 1 ] .
Abdollah Alhevaz   +2 more
doaj   +3 more sources

On two energy-like invariants of line graphs and related graph operations [PDF]

open access: yesJournal of Inequalities and Applications, 2016
For a simple graph G of order n, let μ 1 ≥ μ 2 ≥ ⋯ ≥ μ n = 0 $\mu_{1}\geq\mu_{2}\geq\cdots\geq\mu_{n}=0$ be its Laplacian eigenvalues, and let q 1 ≥ q 2 ≥ ⋯ ≥ q n ≥ 0 $q_{1}\geq q_{2}\geq\cdots\geq q_{n}\geq0$ be its signless Laplacian eigenvalues.
Xiaodan Chen, Yaoping Hou, Jingjian Li
doaj   +2 more sources

Some new bounds for the signless Laplacian energy of a graph [PDF]

open access: green, 2020
For a simple graph $G$ with $n$ vertices, $m$ edges and signless Laplacian eigenvalues $q_{1} \geq q_{2} \geq \cdots \geq q_{n} \geq 0$, its the signless Laplacian energy $QE(G)$ is defined as $QE(G) = \sum_{i=1}^{n}|q_{i} - \bar{d} |$, where $\bar{d} = \frac{2m}{n}$ is the average vertex degree of $G$.
Peng Wang, Qiongxiang Huang
openalex   +3 more sources

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