On the distance eigenvalues of cayley graphs
WebIn the mathematical field of graph theory, a vertex-transitive graph is a graph G in which, given any two vertices v 1 and v 2 of G, there is some automorphism: such that =. In other words, a graph is vertex-transitive if its automorphism group acts transitively on its vertices. A graph is vertex-transitive if and only if its graph complement is, since the group … 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 …
On the distance eigenvalues of cayley graphs
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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. 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 …
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 · For the definition of Cayley graphs see Sect. 2.4. References to …
Web26 de set. de 2024 · In particular, it is shown that a regular graph with d+1 distinct … Web1 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.
WebIn mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, …
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 … great shellkhan wowWeb4 de out. de 2024 · A graph Γ is called an n-Cayley graph over a group G if Aut (Γ) … floral print patchwork dressgreat shengWeb26 de set. de 2024 · We survey some of the known results on eigenvalues of Cayley … floral print organza gownWeb4 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. floral print mock neck shirtWeb1 de jun. de 2024 · 5.1. Main result. The next theorem, which characterizes distance … great shell store on anna marie islandWeb1 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 great shelves