On the distance eigenvalues of cayley graphs

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August undefined, 2024

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 …

On Cayley graphs over generalized dicyclic groups - ScienceDirect

WebWe 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 … 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 … current account advances

(PDF) Eigenvalues of Cayley graphs - ResearchGate

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 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. 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 … current account atm withdrawal limit

(PDF) Some new classes of distance integral graphs

On the eigenvalues of normal edge-transitive Cayley graphs

Web20 de out. de 2016 · Let G be a graph and let diam(G) denote the diameter of G.The … Web26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … current account and exchange rateWeb15 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 … current account balance by country 2021

"Web4 de out. de 2024 · A graph Γ is called an n-Cayley graph over a group G if Aut (Γ) … " - On the distance eigenvalues of cayley graphs

On the distance eigenvalues of cayley graphs

(PDF) Eigenvalues of Cayley graphs - ResearchGate

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 … 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 …

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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 … WebEigenvalues of graphs and digraphs. Chris Godsil. 1982, Linear Algebra and its Applications ...

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 … Web1 de out. de 2024 · Assume that Γ = Cay (G, S) is a primitive distance-regular Cayley …

Web1 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 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).

WebThe Cayley tree has been widely used in solid state and statistical physics, as statistical mechanical models on it form a large class of exactly soluble models.[27,28]We find that the fidelity of the final state of the system and the target state in both the CTQW and the typical DTQW approach is less than unitary by analyzing the evolutionary process on the …

http://www.vesnik.math.rs/vol/mv20407.pdf current abn form medicareWebIn 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. current account application formWeb1 de fev. de 2015 · On the eigenvalues of normal edge-transitive Cayley graphs … current account balance defWebon 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. current account balance deutschWeb1 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. current account balance adalahWeb10 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 _ … current account advantages and disadvantagesWebOn 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 current account balance indonesia