On the distance eigenvalues of cayley graphs

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August undefined, 2024

Webother 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 ... 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 …

On the distance eigenvalues of Cayley graphs

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

Distance-regular Cayley graphs with least eigenvalue - Springer

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 ... 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 … http://www.vesnik.math.rs/vol/mv20407.pdf how to tame fox minecraft

State transfer on two-fold Cayley trees via quantum walks∗

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

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 … WebThe characteristic polynomial of an n-Cayley graph over a group Gis determined in terms … real badehoseWebDOI: 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 … real bald eagle call

"WebLet $\Gamma$ be an antipodal distance-regular graph with diameter $4$ and eigenvalues ... It is shown that every finite group has a connected normal bi-Cayley graph and improves ... Second largest eigenvalue 5. Other eigenvalues of the adjacency matrix 6. Laplacian eigenvalues 7. Signless Laplacian eigenvalues 8. … Expand. 56. Save. Alert. " - On the distance eigenvalues of cayley graphs

On the distance eigenvalues of cayley graphs

Discrepancy and eigenvalues of Cayley graphs SpringerLink

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 … Web22 de abr. de 2024 · We apply this to the case of bipartite distance-regular Cayley …

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Web26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … Web1 de jan. de 2024 · For the results on the distance eigenvalues of cographs, Lu, Huang …

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

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. WebOf special interest is the case for directed Cayley graphs whose vertex set is a group Γ and the directed edges are generated by a subset B of elements of Γ as f(x;bx):x2Γ;b2Bg. For a directed Cayley graph, the condition of strong connectivity is equivalent to the assumption that B is a generating set.

Web30 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 ...

Web26 de set. de 2024 · Abstract: We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs. Subjects: Combinatorics (math.CO) MSC classes: 05C50, 05C25: Cite as: how to tame foxes in minecraft pcWeb4 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. how to tame foxhounds in minecraft quarkWeb1 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 … how to tame gerbilsWeb1 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 how to tame foal conanWebon 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. how to tame frizzy endsWeb1 de jun. de 2024 · 5.1. Main result. The next theorem, which characterizes distance … real balance bank reconciliationWeb13 de out. de 2016 · We consider quasirandom properties for Cayley graphs of finite … real bagheera jungle book