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