On the distance eigenvalues of cayley graphs

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August undefined, 2024

Web15 de mar. de 2024 · A Cayley colour diagram is a directed graph with coloured edges (cf. also Graph, oriented ), and gives rise to a Cayley graph if the colours on the edges are ignored. Cayley colour diagrams were generalized to Schreier coset diagrams by O. Schreier in 1927, and both were investigated as "graphs" in [a20]. Cayley graphs and … WebEigenvalues of graphs and digraphs. Chris Godsil. 1982, Linear Algebra and its Applications ...

(PDF) Some new classes of distance integral graphs

Web1 de fev. de 2015 · On the eigenvalues of normal edge-transitive Cayley graphs … 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. sight plural

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Web13 de out. de 2016 · We consider quasirandom properties for Cayley graphs of finite … 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 ... Web17 de jan. de 2024 · Xiaogang Liu, Sanming Zhou, Eigenvalues of Cayley graphs (arXiv:1809.09829) Farzaneh Nowroozi, Modjtaba Ghorbani, On the spectrum of Cayley graphs via character table, ... Zohreh Mostaghim, Distance in Cayley graphs on permutations generated by k m k m cycles, Transactions on Combinatorics, Vol 6 No. 3 … sight plug screws

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Discrepancy and eigenvalues of Cayley graphs SpringerLink

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 … sight plug gageWebIn 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 … the price is right youtube 2020

"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. " - On the distance eigenvalues of cayley graphs

On the distance eigenvalues of cayley graphs

(PDF) Eigenvalues of graphs and digraphs - Academia.edu

Web30 de mar. de 2024 · A graph is called distance integral if all of its distance … Webon the structure of distance-regular Cayley line graphs of incidence graphs of …

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Web15 de out. de 2024 · In this paper, we determine the second largest eigenvalues of AG_n, EAG_n and CAG_n. 1 Introduction Let G= (V (G),E (G)) be a simple undirected graph of order n. The adjacency matrix of G, denoted by A ( G ), is the n\times n matrix with entries a_ {uv}=1 if \ {u,v\}\in E (G) and a_ {uv}=0 otherwise. 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 …

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 ... 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.

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 …

Web1 de mar. de 2014 · We establish a relation between the eigenvalues of the arrangement …

Web4 de out. de 2024 · A graph Γ is called an n-Cayley graph over a group G if Aut (Γ) … sight playingWebIn mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, … the price is subject to change meaningWeb1 de jan. de 2024 · For the results on the distance eigenvalues of cographs, Lu, Huang … the price is wight log inWeb30 de mar. de 2024 · Abstract. A graph is said to be distance-integral if every eigenvalue … the price is right youtube february 21 2000Webother Cayley graph on S n that arises in extremal combinatorics [17, 32] is the derangement graph ( S n;f˙2S n: ˙(i) 6=i;i2[n]g). The adjacency spectra of these graphs (the eigenvalues of their adjacency matrices) are of interest for their own sake, as well as for various applications such as card shu ing (random walks on the symmetric group ... sightplusWebThe characteristic polynomial of an n-Cayley graph over a group Gis determined in terms … the price is right where to watchWeb20 de out. de 2016 · Let G be a graph and let diam(G) denote the diameter of G.The distance power G N of G is the undirected graph with vertex set V(G), in which x and y are adjacent if their distance d(x, y) in G belongs to N, where N is a non-empty subset of {1, 2, …, diam (G)}.The unitary Cayley graph is the graph having the vertex set Z n and the … the price is way too high