On the distance eigenvalues of cayley graphs

Author: ihru

August undefined, 2024

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

Upper bounds for Steklov eigenvalues of subgraphs of polynomial …

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

Resonance in catacondensed benzenoid hydrocarbons

Web20 de jun. de 2012 · DOI: 10.37236/2369 Corpus ID: 18203328; Distance Powers and … 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 … Web10 de nov. de 2024 · For the definition of Cayley graphs see Sect. 2.4. References to … binary coding cards

(PDF) Graph covers with two new eigenvalues - Academia.edu

On the distance eigenvalues of cayley graphs

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

Web1 de jan. de 2024 · For the results on the distance eigenvalues of cographs, Lu, Huang … 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

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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 · 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

Web22 de abr. de 2024 · We apply this to the case of bipartite distance-regular Cayley … Web4 de out. de 2024 · A graph Γ is called an n-Cayley graph over a group G if Aut (Γ) …

Web1 de out. de 2024 · Assume that Γ = Cay (G, S) is a primitive distance-regular Cayley … http://www.vesnik.math.rs/vol/mv20407.pdf

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

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 ... binary code t shirtsWebThe characteristic polynomial of an n-Cayley graph over a group Gis determined in terms … binary code worksheetWeb1 de mar. de 2014 · We establish a relation between the eigenvalues of the arrangement … cypress crossroads dental group - cypressWebWe 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 … binary code worksheets for middle schoolWebEigenvalues of graphs and digraphs. Chris Godsil. 1982, Linear Algebra and its … cypress csWeb4 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. cypress crossroads dental groupWebother 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 ... binary coefficient hysys