Results 1 to 10 of about 2,062,054 (152)
On distance Laplacian spectrum of zero divisor graphs of the ring $\mathbb{Z}_{n}$
Karpatsʹkì Matematičnì Publìkacìï, 2021 For a finite commutative ring $\mathbb{Z}_{n}$ with identity $1\neq 0$, the zero divisor graph $\Gamma(\mathbb{Z}_{n})$ is a simple connected graph having vertex set as the set of non-zero zero divisors, where two vertices $x$ and $y$ are adjacent if and
S. Pirzada, B.A. Rather, T.A. Chishti
doaj +2 more sources
Signless Laplacian spectrum of power graphs of finite cyclic groups
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper, we have studied the Signless Laplacian spectrum of the power graph of finite cyclic groups. We have shown that is an eigen value of Signless Laplacian of the power graph of with multiplicity at least In particular, using the theory of ...
Subarsha Banerjee, Avishek Adhikari
doaj +2 more sources
The exact Laplacian spectrum for the Dyson hierarchical network. [PDF]
Sci Rep, 2017 We consider the Dyson hierarchical graph , that is a weighted fully-connected graph, where the pattern of weights is ruled by the parameter σ ∈ (1/2, 1].
Agliari E, Tavani F.
europepmc +3 more sources
The Laplacian spectrum of neural networks [PDF]
Frontiers in Computational Neuroscience, 2014 The brain is a complex network of neural interactions, both at the microscopic and macroscopic level. Graph theory is well suited to examine the global network architecture of these neural networks.
Siemon ede Lange +2 more
doaj +2 more sources
Normalized Laplacian spectrum of some subdivision-joins and -joins of two regular graphs
AKCE International Journal of Graphs and Combinatorics, 2018 In this paper we determine the full normalized Laplacian spectrum of the subdivision-vertex join, subdivision-edge join, -vertex join, and -edge join of two regular graphs in terms of the normalized Laplacian eigenvalues of the graphs. Moreover, applying
Arpita Das, Pratima Panigrahi
doaj +3 more sources
The normalized Laplacian spectrum of n-polygon graphs and applications [PDF]
Linear and multilinear algebra, 2022 Given an arbitrary connected graph G, the n-polygon graph $ \tau _n(G) $ τn(G) is obtained by adding a path with length n $ (n\geq ~2) $ (n≥2) to each edge of graph G, and the iterated n-polygon graphs $ \tau _n^g(G) $ τng(G) ( $ g\geq ~0 $ g≥0) are ...
T. Chen, Z. Yuan, Junhao Peng
semanticscholar +1 more source
Another estimation of Laplacian spectrum of the Kronecker product of graphs [PDF]
Information Sciences, 2021 The relationships between eigenvalues and eigenvectors of a product graph and those of its factor graphs have been known for the standard products, while characterization of Laplacian eigenvalues and eigenvectors of the Kronecker product of graphs using ...
Milan Basic, Branko Arsić, Z. Obradovic
semanticscholar +1 more source
Spektrum Laplace pada graf kincir angin berarah (Q_k^3)
Majalah Ilmiah Matematika dan Statistika, 2022 Suppose that 0 = µ0 ≤ µ1 ≤ ... ≤ µn-1 are eigen values of a Laplacian matrix graph with n vertices and m(µ0), m(µ1), …, m(µn-1) are the multiplicity of each µ, so the Laplacian spectrum of a graph can be expressed as a matrix 2 × n whose line elements ...
Melly Amaliyanah +2 more
doaj +1 more source
Laplacian spectrum of comaximal graph of the ring ℤn
Special Matrices, 2022 In this paper, we study the interplay between the structural and spectral properties of the comaximal graph Γ(Zn)\Gamma \left({{\mathbb{Z}}}_{n}) of the ring Zn{{\mathbb{Z}}}_{n} for n>2n\gt 2.
Subarsha Banerjee
semanticscholar +1 more source
The Laplacian Spectrum of Large Graphs Sampled From Graphons [PDF]
IEEE Transactions on Network Science and Engineering, 2020 This paper studies the Laplacian spectrum and the average effective resistance of (large) graphs that are sampled from graphons. Broadly speaking, our main finding is that the Laplacian eigenvalues of a large dense graph can be effectively approximated ...
Renato Vizuete +2 more
semanticscholar +1 more source