WebHoffman-Singletonov graf je v teoriji grafov 7-regularni neusmerjeni graf s 50 točkami in 175 povezavami. Le graphe de Hoffman-Singleton est, en théorie des graphes , un graphe possédant 50 sommets et 175 arêtes. WebHoffman-Singleton graph. There is a unique strongly regular graph Γ with parameters v = 50, k = 7, λ = 0, μ = 1. The spectrum is 7 1 2 28 (–3) 21 . It was found by Hoffman & …
ホフマン–シングルトングラフ - Wikipedia
WebHoffman-Singleton Decomposition of K 50. Originator(s): Definitions: The Hoffman-Singleton graph [HS] is a 7-regular graph with girth 5 on 50 vertices. It is the only such … WebThe Peterson graph is a cubic, undirected graph with 10 nodes and 15 edges [1] . Julius Petersen constructed the graph as the smallest counterexample against the claim that a connected bridgeless cubic graph has an edge colouring with three colours [2]. Parameters: create_usingNetworkX graph constructor, optional (default=nx.Graph) old time couch cover
The Hoffman-Singleton Graph and its Automorphisms
http://www.kurims.kyoto-u.ac.jp/EMIS/journals/JACO/Volume18_1/np3862514r41w675.fulltext.pdf WebThe Hoffman–Singleton graph is a symmetrical undirected graph with 50 nodes and 175 edges. All indices lie in Z % 5: that is, the integers mod 5 [1] . It is the only regular graph of vertex degree 7, diameter 2, and girth 5. It is the unique (7,5)-cage graph and Moore graph, and contains many copies of the Petersen graph [2]. WebA graph is said to be regular of degree r if all local degrees are the same number r. A 0-regular graph is an empty graph, a 1-regular graph consists of disconnected edges, and a two-regular graph consists of one or more (disconnected) cycles. The first interesting case is therefore 3-regular graphs, which are called cubic graphs (Harary 1994, pp. 14-15). … old time cough medicine recipe