On the distance eigenvalues of cayley graphs

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August undefined, 2024

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 … 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 …

Stability of twisted states in the Kuramoto model on Cayley and …

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 … chinese food delivery 55417

On the distance eigenvalues of Cayley graphs

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 … 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 ... 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. chinese food delivery 55114

ON THE EIGENVALUES OF N-CAYLEY GRAPHS: A SURVEY

On the distance eigenvalues of cayley graphs

On the second largest eigenvalue of some Cayley graphs of

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

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http://www.vesnik.math.rs/vol/mv20407.pdf WebEigenvalues of graphs and digraphs. Chris Godsil. 1982, Linear Algebra and its Applications ...

Web26 de set. de 2024 · Download a PDF of the paper titled Eigenvalues of Cayley graphs, … 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 …

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. 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 …

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 fev. de 2015 · On the eigenvalues of normal edge-transitive Cayley graphs … grand international macaoWebThe characteristic polynomial of an n-Cayley graph over a group Gis determined in terms … grand international schoolWeb1 de mar. de 2014 · We establish a relation between the eigenvalues of the arrangement … grand international hotel panamáWebother 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 ... grand international hotel telefonoWebWe 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). chinese food delivery 60614WebAlso 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. grand international hotel panama cityWeb30 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 ... chinese food delivery 60626