On the distance eigenvalues of cayley graphs

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August undefined, 2024

WebIn 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 … Web30 de mar. de 2024 · A graph is called distance integral if all of its distance …

[1809.09829] Eigenvalues of Cayley graphs - arXiv.org

Web4 de out. de 2024 · A graph Γ is called an n-Cayley graph over a group G if Aut (Γ) … 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 … birthday gifts for dietitian

(PDF) Eigenvalues of Cayley graphs - ResearchGate

WebThe characteristic polynomial of an n-Cayley graph over a group Gis determined in terms … 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). http://www.vesnik.math.rs/vol/mv20407.pdf birthday gifts for developmentally disabled

On the distance eigenvalues of cayley graphs

[2102.10134] Ricci curvature, graphs and eigenvalues

Web1 de mar. de 2014 · We establish a relation between the eigenvalues of the arrangement graphs and the eigenvalues of certain Cayley graphs. As a result, the conjecture on integrality of eigenvalues of A (n, k, 1 ... The distance spectra of Cayley graphs of Coxeter groups. Discrete Math., 311 (2011), pp. 738-755. Article. Download PDF View … Web30 de mar. de 2024 · Abstract. A graph is said to be distance-integral if every eigenvalue …

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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 … WebAlso we prove that a nite abelian group G admits a connected cubic distance integral Cayley graph if and only if G is isomorphic to one of the groups Z_4, Z_6, Z_4 xZ_2, Z_6 xZ_2, or Z_2 x Z_2 xZ_2. Furthermore, up to isomorphism, there are exactly 5 connected cubic distance integral Cayley graphs over abelian groups.

Web1 de jan. de 2024 · For the results on the distance eigenvalues of cographs, Lu, Huang … Web26 de set. de 2024 · Download a PDF of the paper titled Eigenvalues of Cayley graphs, …

Web1 de jul. de 2024 · We express the discrete Ricci curvature of a graph as the minimal eigenvalue of a family of matrices, one for each vertex of a graph whose entries depend on the local adjaciency structure of the graph. Using this method we compute or bound the Ricci curvature of Cayley graphs of finite Coxeter groups and affine Weyl groups. 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 jun. de 2024 · 5.1. Main result. The next theorem, which characterizes distance …

WebIn 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. dan murphy\u0027s newsteadWebOn 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 birthday gifts for diggy\u0027s adventureWeb26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … dan murphy\u0027s membership card registrationWebIn mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, … dan murphy\u0027s near me phone numberWeb1 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 … dan murphy\u0027s near me raymond terraceWeb1 de jan. de 2024 · Let G be a connected threshold graph. Then each distance eigenvalue λ D ≠ − 1, − 2 of G is simple, and G has no distance eigenvalues in the interval (− 2, − 1). Motivated by the works of Ghorbani [10] and Lu, Huang and Lou [24], in this paper, we study the multiplicity and the distribution of distance eigenvalues of cographs. Theorem 1.2 dan murphy\u0027s mulled wineWeb17 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 … dan murphy\u0027s near me open