On the distance eigenvalues of cayley graphs
Web26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … Web10 de nov. de 2024 · For the definition of Cayley graphs see Sect. 2.4. References to …
On the distance eigenvalues of cayley graphs
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Web1 de out. de 2024 · Assume that Γ = Cay (G, S) is a primitive distance-regular Cayley … WebIn mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, …
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 …
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 … Web30 de mar. de 2024 · Abstract. A graph is said to be distance-integral if every eigenvalue …
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.
Web20 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 … side effects from interferon treatmentWeb1 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 … thepinkprintacademyWebIn 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 … side effects from ironWebEigenvalues of graphs and digraphs. Chris Godsil. 1982, Linear Algebra and its … the pink pot plantWebDOI: 10.1080/03081087.2024.1758609 Corpus ID: 219046404; Distance powers of integral Cayley graphs over dihedral groups and dicyclic groups @article{Cheng2024DistancePO, title={Distance powers of integral Cayley graphs over dihedral groups and dicyclic groups}, author={Tao Cheng and Lihua Feng and Weijun Liu and Lu Lu and Dragan … side effects from iron infusion treatmentsWebAlso 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. the pink princess bookWeb1 de mar. de 2014 · We establish a relation between the eigenvalues of the arrangement … the pink princess plant