Results 31 to 40 of about 6,081 (145)
Some Chemistry Indices of Clique-Inserted Graph of a Strongly Regular Graph
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
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Sharp Bounds on (Generalized) Distance Energy of Graphs [PDF]
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
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On the signless Laplacian energy and signless Laplacian Estrada index of extremal graphs
R. Binthiya, P. B. Sarasija
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Minimum dominating signless laplacian graph energy
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
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On some aspects of the generalized Petersen graph [PDF]
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
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On the signless Laplacian energy of a digraph
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. A. Ganie
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On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs
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
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Merging the Spectral Theories of Distance Estrada and Distance Signless Laplacian Estrada Indices of Graphs [PDF]
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
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On two energy-like invariants of line graphs and related graph operations [PDF]
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
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Some new bounds for the signless Laplacian energy of a graph [PDF]
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
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