Results 11 to 20 of about 96,121 (306)
On the Spectra of Commuting and Non Commuting Graph on Dihedral Group [PDF]
Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet.
Abdussakir Abdussakir +2 more
doaj +2 more sources
Graph approximations to the Laplacian spectra [PDF]
I prove that the spectrum of the Laplace-Beltrami operator with the Neumann boundary condition on a compact Riemannian manifold with boundary admits a fast approximation by the spectra of suitable graph Laplacians on proximity graphs on the manifold, and
Lu, Jinpeng
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On the spectral determinations of the connected multicone graphs
In this study we investigate the spectra of the family of connected multicone graphs. A multicone graph is defined to be the join of a clique and a regular graph. Let , and be natural numbers, and let denote a complete graph on vertices.
Ali Zeydi Abdian +6 more
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THE SPECTRAL DETERMINATION OF THE MULTICONE GRAPHS Kw ▽ C WITH RESPECT TO THEIR SIGNLESS LAPLACIAN SPECTRA [PDF]
The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra. A multicone graph is defined to be the join of a clique and a regular graph.
A. Zeydi Abdian +2 more
doaj +1 more source
The integer-antimagic spectra of Hamiltonian graphs
Let A be a nontrivial abelian group. A connected simple graph G = (V, E) is A-antimagic, if there exists an edge labeling f : E(G)→A ∖ {0A} such that the induced vertex labeling f+(v)=∑{u, v}∈E(G)f({u, v}) is a one-to-one map.
Low, Richard M. +5 more
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The \(k\)-spectrum of a graph \(G\) is the set of all nonnegative integers that occur as the size of an induced \(k\)-vertex subgraph of \(G\). The authors determine the minimum order and size of a graph whose \(k\)-spectrum contains all the numbers \(0,1, \dots, {k \choose 2}\). They also study the sets that are \(k\)-spectra of some graphs.
Ralph J. Faudree +4 more
openaire +1 more source
In classic graph signal processing, given a real-valued graph signal, its graph Fourier transform is typically defined as the series of inner products between the signal and each eigenvector of the graph Laplacian. Unfortunately, this definition is not mathematically valid in the cases of vector-valued graph signals which however are typical operands ...
Fanchao Meng 0005 +2 more
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Two Kinds of Laplacian Spectra and Degree Kirchhoff Index of the Weighted Corona Networks
Recently, the study related to network has aroused wide attention of the scientific community. Many problems can be usefully represented by corona graphs or networks.
Haiqin Liu, Yanling Shao
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Smarandache-Zagreb Index on Three Graph Operators [PDF]
Many researchers have studied several operators on a connected graph in which one make an attempt on subdivision of its edges. In this paper, we show how the Zagreb indices, a particular case of Smarandache-Zagreb index of a graph changes with these ...
Ranjini, P.S., Lokesha, V.
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On energy, Laplacian energy and $p$-fold graphs
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\lambda_1$ and Laplacian spectrum ($L$-spectrum) $0=\mu_n\leq\mu_{n-1}\leq\cdots\leq\mu_1$, the energy is defined as $ E(G)=\sum_{i=1}^{n}|\lambda_i|$ and ...
Hilal A Ganie +2 more
doaj +1 more source

