On the distance eigenvalues of cayley graphs

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 … WebThe Kuramoto model of coupled phase oscillators on complete, Paley, and Erdős-Rényi (ER) graphs is analyzed in this work. As quasirandom graphs, the complete, Paley, and ER graphs share many structural properties. For …

[1809.09829v2] Eigenvalues of Cayley graphs - arXiv.org

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. 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 … philips fb290 https://mbrcsi.com

The diameter and Laplacian eigenvalues of directed graphs

Web13 de out. de 2016 · We consider quasirandom properties for Cayley graphs of finite … WebDOI: 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 … Webon 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. philips fb691

Vertex-transitive graph - Wikipedia

Category:Distance-integral Cayley graphs over abelian groups and

Tags:On the distance eigenvalues of cayley graphs

On the distance eigenvalues of cayley graphs

Distance-integral Cayley graphs over abelian groups and

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 …

On the distance eigenvalues of cayley graphs

Did you know?

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 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 …

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 … Web4 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.

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 … Web20 de jun. de 2012 · DOI: 10.37236/2369 Corpus ID: 18203328; Distance Powers and …

Web30 de mar. de 2024 · Abstract. A graph is said to be distance-integral if every eigenvalue …

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 truthfulness and relevance grade 9WebWe 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 … philips fbh024Webon the structure of distance-regular Cayley line graphs of incidence graphs of … truthful negotiations actWeb26 de set. de 2024 · Download a PDF of the paper titled Eigenvalues of Cayley graphs, … philips fc12t9 bright whiteWebThe characteristic polynomial of an n-Cayley graph over a group Gis determined in terms … philips fb670x w speakersWeb26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … philips fb291Web26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … philips fc12t9