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- Hoffman–Singleton_graph abstract "In the mathematical field of graph theory, the Hoffman–Singleton graph is a 7-regular undirected graph with 50 vertices and 175 edges. It is the unique strongly regular graph with parameters (50,7,0,1). It was constructed by Alan Hoffman and Robert Singleton while trying to classify all Moore graphs, and is the highest order Moore graph known to exist. Since it is a Moore graph where each vertex has degree 7, and the girth is 5, it is a (7,5)-cage.".
- Hoffman–Singleton_graph thumbnail Hoffman-Singleton_graph.svg?width=300.
- Hoffman–Singleton_graph wikiPageID "4112667".
- Hoffman–Singleton_graph wikiPageLength "6052".
- Hoffman–Singleton_graph wikiPageOutDegree "40".
- Hoffman–Singleton_graph wikiPageRevisionID "682121015".
- Hoffman–Singleton_graph wikiPageWikiLink Alan_Hoffman_(mathematician).
- Hoffman–Singleton_graph wikiPageWikiLink Alan_J._Hoffman.
- Hoffman–Singleton_graph wikiPageWikiLink Alternating_group.
- Hoffman–Singleton_graph wikiPageWikiLink Automorphism.
- Hoffman–Singleton_graph wikiPageWikiLink Automorphism_group.
- Hoffman–Singleton_graph wikiPageWikiLink Cage_(graph_theory).
- Hoffman–Singleton_graph wikiPageWikiLink Cambridge_University_Press.
- Hoffman–Singleton_graph wikiPageWikiLink Category:4-chromatic_graphs.
- Hoffman–Singleton_graph wikiPageWikiLink Category:Individual_graphs.
- Hoffman–Singleton_graph wikiPageWikiLink Category:Regular_graphs.
- Hoffman–Singleton_graph wikiPageWikiLink Category:Strongly_regular_graphs.
- Hoffman–Singleton_graph wikiPageWikiLink Characteristic_polynomial.
- Hoffman–Singleton_graph wikiPageWikiLink Combination.
- Hoffman–Singleton_graph wikiPageWikiLink Fano_plane.
- Hoffman–Singleton_graph wikiPageWikiLink Frobenius_automorphism.
- Hoffman–Singleton_graph wikiPageWikiLink Frobenius_endomorphism.
- Hoffman–Singleton_graph wikiPageWikiLink Girth_(graph_theory).
- Hoffman–Singleton_graph wikiPageWikiLink Graph_(mathematics).
- Hoffman–Singleton_graph wikiPageWikiLink Graph_theory.
- Hoffman–Singleton_graph wikiPageWikiLink Hamiltonian_graph.
- Hoffman–Singleton_graph wikiPageWikiLink Hamiltonian_path.
- Hoffman–Singleton_graph wikiPageWikiLink Integral_graph.
- Hoffman–Singleton_graph wikiPageWikiLink Mathematics.
- Hoffman–Singleton_graph wikiPageWikiLink Moore_graph.
- Hoffman–Singleton_graph wikiPageWikiLink Petersen_graph.
- Hoffman–Singleton_graph wikiPageWikiLink Projective_special_unitary_group.
- Hoffman–Singleton_graph wikiPageWikiLink Projective_unitary_group.
- Hoffman–Singleton_graph wikiPageWikiLink Regular_graph.
- Hoffman–Singleton_graph wikiPageWikiLink Robert_R._Singleton.
- Hoffman–Singleton_graph wikiPageWikiLink Semidirect_product.
- Hoffman–Singleton_graph wikiPageWikiLink Spectral_graph_theory.
- Hoffman–Singleton_graph wikiPageWikiLink Strongly_regular_graph.
- Hoffman–Singleton_graph wikiPageWikiLink Symmetric_graph.
- Hoffman–Singleton_graph wikiPageWikiLink Symmetric_group.
- Hoffman–Singleton_graph wikiPageWikiLink Table_of_the_largest_known_graphs_of_a_given_diameter_and_maximal_degree.
- Hoffman–Singleton_graph wikiPageWikiLink Undirected_graph.
- Hoffman–Singleton_graph wikiPageWikiLink File:Hoffman-Singleton_graph.svg.
- Hoffman–Singleton_graph wikiPageWikiLink File:Hoffman_singleton_graph_circle2.gif.
- Hoffman–Singleton_graph wikiPageWikiLinkText "Hoffman–Singleton graph".
- Hoffman–Singleton_graph wikiPageWikiLinkText "Hoffman–Singleton graph".
- Hoffman–Singleton_graph wikiPageWikiLinkText "Hoffman–Singleton".
- Hoffman–Singleton_graph automorphisms "252000".
- Hoffman–Singleton_graph chromaticIndex "7".
- Hoffman–Singleton_graph chromaticNumber "4".
- Hoffman–Singleton_graph diameter "2".
- Hoffman–Singleton_graph edges "175".
- Hoffman–Singleton_graph genus "29".
- Hoffman–Singleton_graph girth "5".
- Hoffman–Singleton_graph hasPhotoCollection Hoffman–Singleton_graph.
- Hoffman–Singleton_graph name "Hoffman–Singleton graph".
- Hoffman–Singleton_graph namesake Alan_J._Hoffman.
- Hoffman–Singleton_graph namesake Robert_R._Singleton.
- Hoffman–Singleton_graph properties Cage_(graph_theory).
- Hoffman–Singleton_graph properties Hamiltonian_graph.
- Hoffman–Singleton_graph properties Hamiltonian_path.
- Hoffman–Singleton_graph properties Integral_graph.
- Hoffman–Singleton_graph properties Moore_graph.
- Hoffman–Singleton_graph properties Strongly_regular_graph.
- Hoffman–Singleton_graph properties Symmetric_graph.
- Hoffman–Singleton_graph radius "2".
- Hoffman–Singleton_graph vertices "50".
- Hoffman–Singleton_graph wikiPageUsesTemplate Template:Citation.
- Hoffman–Singleton_graph wikiPageUsesTemplate Template:Infobox_graph.
- Hoffman–Singleton_graph wikiPageUsesTemplate Template:Reflist.
- Hoffman–Singleton_graph subject Category:4-chromatic_graphs.
- Hoffman–Singleton_graph subject Category:Individual_graphs.
- Hoffman–Singleton_graph subject Category:Regular_graphs.
- Hoffman–Singleton_graph subject Category:Strongly_regular_graphs.
- Hoffman–Singleton_graph comment "In the mathematical field of graph theory, the Hoffman–Singleton graph is a 7-regular undirected graph with 50 vertices and 175 edges. It is the unique strongly regular graph with parameters (50,7,0,1). It was constructed by Alan Hoffman and Robert Singleton while trying to classify all Moore graphs, and is the highest order Moore graph known to exist. Since it is a Moore graph where each vertex has degree 7, and the girth is 5, it is a (7,5)-cage.".
- Hoffman–Singleton_graph label "Hoffman–Singleton graph".
- Hoffman–Singleton_graph sameAs Graphe_de_Hoffman-Singleton.
- Hoffman–Singleton_graph sameAs ホフマン-シングルトングラフ.
- Hoffman–Singleton_graph sameAs Graf_Hoffmana-Singletona.
- Hoffman–Singleton_graph sameAs Grafo_de_Hoffman-Singleton.
- Hoffman–Singleton_graph sameAs m.0bjscr.
- Hoffman–Singleton_graph sameAs Hoffman-Singletonov_graf.
- Hoffman–Singleton_graph sameAs Q3090387.
- Hoffman–Singleton_graph sameAs Q3090387.
- Hoffman–Singleton_graph wasDerivedFrom Hoffman–Singleton_graph?oldid=682121015.
- Hoffman–Singleton_graph depiction Hoffman-Singleton_graph.svg.
- Hoffman–Singleton_graph isPrimaryTopicOf Hoffman–Singleton_graph.