On the distance eigenvalues of cayley graphs

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August undefined, 2024

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 _ … 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 …

A note on the eigenvalues of n-Cayley graphs

WebOn the other hand, we show that every n-vertex Cayley graph (and more generally, vertex-transitive graph) has an orthonormal basis whose coordinates are all O(p logn=n), and that this boundisnearlybestpossible. Our investigation is motivated by a question of Assaf Naor, who proved that random abelian WebWe consider resonance in cata-condensed benzenoids having six and seven fused benzene rings. The resonance relationship between the Kekule valence structures of the molecules is represented by the resonance graphs in which the vertices represent the Kekule valence structures, and the edges, the presence of the quantum chemical resonance integral … canon 50 1.8 breech lens

(PDF) Some new classes of distance integral graphs

WebIn mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, … Web20 de out. de 2016 · Let G be a graph and let diam(G) denote the diameter of G.The … Web1 de mar. de 2014 · We establish a relation between the eigenvalues of the arrangement … canon 50d weather sealed

On the eigenvalues of normal edge-transitive Cayley graphs

On the distance eigenvalues of cayley graphs

On Cayley graphs over generalized dicyclic groups - ScienceDirect

WebEigenvalues of graphs and digraphs. Chris Godsil. 1982, Linear Algebra and its Applications ... Web30 de mar. de 2024 · Abstract. A graph is said to be distance-integral if every eigenvalue …

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Web30 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 … Webon the structure of distance-regular Cayley line graphs of incidence graphs of …

WebOf special interest is the case for directed Cayley graphs whose vertex set is a group Γ and the directed edges are generated by a subset B of elements of Γ as f(x;bx):x2Γ;b2Bg. For a directed Cayley graph, the condition of strong connectivity is equivalent to the assumption that B is a generating set. WebGraph covers with two new eigenvalues Chris Godsil∗1 , Maxwell Levit†1 , and Olha Silina†1 arXiv:2003.01221v3 [math.CO] 7 Oct 2024 1 Department of Combinatorics & Optimization, University of Waterloo October 7, 2024 Abstract A certain signed adjacency matrix of the hypercube, which Hao Huang used last year to resolve the Sensitivity …

Web22 de abr. de 2024 · We apply this to the case of bipartite distance-regular Cayley … WebLet $\Gamma$ be an antipodal distance-regular graph with diameter $4$ and eigenvalues ... It is shown that every finite group has a connected normal bi-Cayley graph and improves ... Second largest eigenvalue 5. Other eigenvalues of the adjacency matrix 6. Laplacian eigenvalues 7. Signless Laplacian eigenvalues 8. … Expand. 56. Save. Alert.

Web13 de out. de 2016 · We consider quasirandom properties for Cayley graphs of finite …

Web6 de set. de 2024 · It is therefore natural to wonder whether it is possible to extend our control to all of the eigenvalues of a subgraph of any polynomial growth Cayley graph. The main result of this paper is the following: Theorem 5. Let $\Gamma = Cay(G,S)$ be a polynomial growth Cayley graph of order $d \ge 2$. Let $(\Omega , B)$ be a subgraph … flag of aberdeenshireWebon the structure of distance-regular Cayley line graphs of incidence graphs of generalized polygons. Keywords Cayley graph · Strongly regular graph · Distance-regular graph · Line graph · Generalized polygon · Eigenvalues Mathematics Subject Classiﬁcation 05E30 · 05C25 · 20D60 · 51E12 In honor of Andries Brouwer for his 65th birthday. canon 50d flash diffuserhttp://www.vesnik.math.rs/vol/mv20407.pdf flag of abkhaziaWeb26 de set. de 2024 · Abstract: We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs. Subjects: Combinatorics (math.CO) MSC classes: 05C50, 05C25: Cite as: canon 50 f1 8 stm dxoWeb4 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. flag of aboriginalWebIn the mathematical field of graph theory, a vertex-transitive graph is a graph G in which, given any two vertices v 1 and v 2 of G, there is some automorphism: such that =. In other words, a graph is vertex-transitive if its automorphism group acts transitively on its vertices. A graph is vertex-transitive if and only if its graph complement is, since the group … flag of abruzzoWebWe 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). canon 50mm 1.8 stm night photography