A graph G G G is said to be determined by the spectrum of its Laplacian matrix (DLS) if every graph with the same spectrum is isomorphic to G G G . van Dam and Haemers (2003) conjectured that almost all graphs have this property, but that is known to be the case only for a ...
Reduced power graphgroupsLaplacian spectrumThe reduced power graph of a group G is the graph whose vertices are the elements of G and two vertices u and v are adjacent if and only if uv or vu. In this paper, we study the Laplacian spectrum of the reduced power graph of the additive ...
Graph Laplacian spectrum (of graph) Kirchhoff index Laplacian-energy-like invariant Laplacian energy 1. Introduction Let G=(V,E) be a simple graph with vertex set V(G)={v1,v2,…,vn} and edge set E(G), where |V(G)|=n, |E(G)|=m. Let di be the degree of the vertex vi for...
[9] obtained a relationship between the Laplacian and the signless Laplacian spectra of a regular graph on n vertices. Lemma 2.4 [9] Let G be a r-regular graph of order n. Then the signless Laplacian spectrum of graph G is given by SLS(G)={2r,2r−μn−1,2r−μn−2,...
& Tian, Y. A simplex path integral and a simplex renormalization group for high-order interactions. Rep. Prog. Phys. 87, 087601 (2024). Article MathSciNet Google Scholar Reitz, M. & Bianconi, G. The higher-order spectrum of simplicial complexes: a renormalization group approach. J. Phys...
网络释义 1. 拉普拉斯图谱 ... ) Laplacian radii 拉普拉斯谱半径 ) Laplacian graph spectrum 拉普拉斯图谱 ) quasi-Laplacian spectrum 拟拉普拉斯谱 ... www.dictall.com|基于1 个网页© 2025 Microsoft 隐私声明和 Cookie 法律声明 广告 帮助 反馈
The study of the Laplacian spectrum (which defines the conjugate Fourier space) allows us to compute the network modes, playing the exact role of a and Λ (the microscopic ultraviolet cut-off) in RG schemes3,20. We point out that to select critical scales of the network, all eigenvalues ...
(2016). Spectrum of the 1-Laplacian and cheeger’s constant on graphs. Journal of Graph Theory, 81(2), 167–207. Article MATH Google Scholar Chen, Y., Qi, L., & Zhang, X. (2017). The fiedler vector of a laplacian tensor for hypergraph partitioning. SIAM Journal on Science ...
,n, the matrix L(G)=D(G)−A(G) is called the Laplacian matrix and its spectrum is called the Laplacian spectrum (L-spectrum) of the graph G. Being a real symmetric, positive semi-definite matrix, we take 0=μn≤μn−1≤⋯≤μ1 to be the L-spectrum of G. For the sake ...
4) quasi-Laplacian spectrum 拟拉普拉斯谱 1. Let G be a simple undirected graph,C(G) denote the undirected incidence matrix of G,Q(G)=C (G)C(G)~T,The eigenvalues of Q(G) be called the quasi-Laplacian spectrum of G. Q(G)的特征值称为图G的拟拉普拉斯谱。