On the distance eigenvalues of cayley graphs
Web10 de nov. de 2024 · The eigenvalues of this matrix, together with their multiplicities, are an important invariant of the graph. Since A is symmetric, all eigenvalues are real. For a regular graph of degree d, it is well-known that the largest eigenvalue of A is \lambda _ … WebIn this paper, we determine the distance matrix and its characteristic polynomial of a Cayley graph over a group G in terms of irreducible representations of G. We give exact formulas for n-prisms, hexagonal torus network and cubic Cayley graphs over abelian groups.
On the distance eigenvalues of cayley graphs
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Web13 de out. de 2016 · We consider quasirandom properties for Cayley graphs of finite … WebEigenvalues of graphs and digraphs. Chris Godsil. 1982, Linear Algebra and its …
Web30 de mar. de 2024 · A graph is called distance integral if all of its distance eigenvalues are integers. In this paper, we introduce some new classes of distance integral graphs. In particular, we show that if n, k ... Web1 de fev. de 2015 · On the eigenvalues of normal edge-transitive Cayley graphs @article{Ghorbani2015OnTE, title={On the eigenvalues of normal edge-transitive Cayley graphs}, author={Modjtaba Ghorbani}, journal={Bulletin of The Iranian Mathematical Society}, year={2015}, volume={41}, pages={101-107} } M. Ghorbani; Published 1 …
WebWe also obtain distance Laplacian eigenvalues and distance LaplacianenergyofGn. Keywords: Spectrum; Energy; Signless Laplacian; Distance Laplacian; Distance signless Laplacian; Unitary Cayley graph; Unitary addition Cayley graph 1 Introduction Let G be a simple, undirected graph of order n and size m with vertex set V(G) and edge set E(G). WebThe characteristic polynomial of an n-Cayley graph over a group Gis determined in terms …
WebThis lecture is devoted to an examination of some special graphs and their eigenvalues. 5.2 The Ring Graph The ring graph on nvertices, R n, may be viewed as having a vertex set corresponding to the integers modulo n. In this case, we view the vertices as the numbers 0 through n 1, with edges (i;i+ 1), computed modulo n. Lemma 5.2.1. The ...
Web20 de jun. de 2012 · DOI: 10.37236/2369 Corpus ID: 18203328; Distance Powers and … phool patti embroideryWeb4 de jul. de 2024 · where C i is a conjugacy class in a finite group G. Suppose S is symmetric; that is, x ∈ S implies x − 1 ∈ S. Consider the Cayley graph X ( G, S). Show that the eigenvalues of the adjacency matrix of this graph have the form λ π = 1 d π ∑ s ∈ S χ π ( s), where π ∈ G ^, and d π = the degree of π. how does a dog get pancreatitisWeb20 de out. de 2016 · Let G be a graph and let diam(G) denote the diameter of G.The … how does a dog get whipwormWeb30 de jan. de 2024 · Ten years have passed, little progress has been made in the study of resistance distance and Kirchhoff index of Cayley graph over non-abelian groups. The main reason is that it is difficult to know the eigenvalues and eigenvectors of Cayley graph on noncommutative groups. In this paper, we consider a class of the simplest non … phool or patthar full movieWebIn the literature, the adjacency eigenvalues of Cayley graphs have been more widely used than the distance eigenvalues. A graph Γ is called distance (adjacency) integral if all the eigenvalues of its distance (adjacency) matrix are integers. A graph is called circulant if it is a Cayley graph over a cyclic group. how does a dog get tracheal collapseWeb26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … how does a dog give birthWebWe prove a sufficient condition for synchronization for coupled one-dimensional maps and estimate the size of the window of parameters where synchronization takes place. It is shown that coupled systems on graphs with … how does a dog get infected with mango worms