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Graphe de hoffman singleton

WebThe Hoffman-Singleton graph is the graph on 50 nodes and 175 edges that is the only regular graph of vertex degree 7, diameter 2, and girth 5. It is the unique -cage graph and Moore graph, and contains many copies of the Petersen graph.It can be constructed from the 10 5-cycles illustrated above, with vertex of joined to vertex (mod 5) of (Robertson … WebThis returns an undirected graph, it can be converted to a directed graph using nx.to_directed (), or a multigraph using nx.MultiGraph (nx.caveman_graph (l, k)). Only the undirected version is described in [1] and it is unclear which …

Category:Hoffman-Singleton graph - Wikimedia Commons

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Graph generators — NetworkX 3.1 documentation

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 … WebThe following is a geometric construction of the Hoffman-Singleton graph, due to Neil Robertson, as presented by Paul R. Hafner [6]. Recall that the Hoffman-Singleton … WebIn mathematical graph theory, the Higman–Sims graph is a 22-regular undirected graph with 100 vertices and 1100 edges. It is the unique strongly regular graph srg(100,22,0,6), … inyo county oes

Hamiltonian paths of the Hoffman-Singleton graph?

Category:A new partial geometry constructed from the Hoffman …

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Graphe de hoffman singleton

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WebProperties of the Hoffman-Singleton graph If we consider a specified vertex in a graph with order n, degree d, and diameter k, and let ni be the number of vertices at a distance of i edges from that vertex, then the following inequality (from Moore, used by Hoffman and Singleton [7], and Miller and Siran [11]) holds: ni ≤ d(d – 1)i - 1 (1) WebFeb 1, 2016 · Hoffman–Singleton Graph – Félix de la Fuente. This is the Hoffman–Singleton graph, a remarkably symmetrical graph with 50 vertices and 175 edges. There is a beautiful way to construct the …

Graphe de hoffman singleton

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Webホフマン–シングルトングラフとは、50個の頂点と175個の辺からなる7-正則グラフである。 これは(50,7,0,1)-強正則グラフであり一意である。このグラフはアラン・ホフマンとロバート・シングルトンによって、ムーアグラフの分類の過程で構成された。 またホフマン–シングルトングラフは知ら ... WebMar 24, 2024 · Hoffman and Singleton (1960) first used the term "Moore graph" while looking at related regular graphs of a given vertex degree and diameter.They showed …

http://www.kurims.kyoto-u.ac.jp/EMIS/journals/JACO/Volume18_1/np3862514r41w675.fulltext.pdf WebGenerators for some classic graphs. The typical graph builder function is called as follows: >>> G = nx.complete_graph(100) returning the complete graph on n nodes labeled 0, .., 99 as a simple graph. Except for empty_graph, all the functions in this module return a Graph class (i.e. a simple, undirected graph).

WebFeb 1, 2016 · The Hoffman–Singleton graph is a (7,5)-cage, meaning a graph where each vertex has exactly 7 neighbors, the shortest cycles … WebApr 5, 2013 · A new partial geometry constructed from the Hoffman-Singleton graph; By Willem Haemers, University of Technology Edited by P. J. Cameron, J. W. P. Hirschfeld, …

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WebExplorez les mathématiques avec notre magnifique calculatrice graphique gratuite en ligne. Tracez des fonctions, des points, visualisez des équations algébriques, ajoutez des curseurs, animez des graphiques, et plus encore. inyo county obituariesWebHoffman singleton graph circle2.gif 500 × 300; 67 KB Hoffman-Singleton graph.svg 800 × 800; 15 KB Retrieved from " … inyo county park baker creek campgroundWebNov 3, 2004 · In particular, ford=7 we obtain as a special case the Hoffman–Singleton graph, and ford=11 andd=13 we have new largest graphs of diameter 2, and degreedon … onrr dear reporterWebGraphe de Hoffman-Singleton... , les arêtes et les arcs . Le graphe d ' Hoffman-Singleton est donc un graphe symétrique [ 5 ]. Le polynôme ... Graphe de Moore... inyo county office of edWebMar 24, 2024 · Hoffman-Singleton Theorem. Download Wolfram Notebook. Let be a -regular graph with girth 5 and graph diameter 2. (Such a graph is a Moore graph ). Then, … inyo county ohv trailsWebDiscussion:Graphe de Hoffman-Singleton Connected to: {{::readMoreArticle.title}} Cet article est indexé par le projet Mathématiques. Les projets ont pour but d’enrichir le contenu de Wikipédia en aidant à la coordination du travail des contributeurs. onrr cross referenceWebTraductions en contexte de "Хоффмана-Синглтона" en russe-français avec Reverso Context : Граф Хоффмана-Синглтона - это srg(50,7,0,1). inyo county paint disposal