On the distance eigenvalues of cayley graphs

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August undefined, 2024

WebEigenvalues of graphs and digraphs. Chris Godsil. 1982, Linear Algebra and its Applications ... WebThe characteristic polynomial of an n-Cayley graph over a group Gis determined in terms …

Distance powers of unitary Cayley graphs - ScienceDirect

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 jan. de 2024 · For the results on the distance eigenvalues of cographs, Lu, Huang … smart card reader malta

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 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 … Web10 de nov. de 2024 · For the definition of Cayley graphs see Sect. 2.4. References to … 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 ... hillary jackson facebook

Upper bounds for Steklov eigenvalues of subgraphs of polynomial …

[PDF] Distance Powers and Distance Matrices of Integral Cayley …

Web22 de abr. de 2024 · We apply this to the case of bipartite distance-regular Cayley … 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. smart card reader middlewareWeb1 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 … smart card reader installation software

"http://www.vesnik.math.rs/vol/mv20407.pdf " - On the distance eigenvalues of cayley graphs

On the distance eigenvalues of cayley graphs

[PDF] Eigenvalues of Cayley Graphs Semantic Scholar

Web1 de out. de 2024 · Assume that Γ = Cay (G, S) is a primitive distance-regular Cayley … Webon the structure of distance-regular Cayley line graphs of incidence graphs of …

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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 … 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:

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

Web13 de out. de 2016 · We consider quasirandom properties for Cayley graphs of finite …

Web26 de set. de 2024 · In particular, it is shown that a regular graph with d+1 distinct … hillary j eventsWebOn 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 smart card reader for ipad proWeb4 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. smart card reader keyboard driverWeb26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … smart card reader manhattan 172844 driverWeb17 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 … smart card reader myaWebThe 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 … smart card reader mtbfWebIn 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. hillary jacobson icm