About: Hoffman–Singleton graph

Property	Value
dbo:description	7-однородный неориентированный граф с 50 вершинами и 175 рёбрами (ru) node-link graph with 50 vertices and 175 edges, the smallest possible 7-regular graph of girth 5 (en)
dbo:thumbnail	wiki-commons:Special:FilePath/Hoffman-Singleton_graph.svg?width=300
dbo:wikiPageWikiLink	dbr:Girth_(graph_theory) dbr:Mathematics dbr:Heawood_graph dbr:Integral_graph dbr:Coxeter_graph dbr:Pentagon dbr:Semidirect_product dbr:Odd_graph dbr:Graph_theory dbr:Alan_J._Hoffman dbr:Alternating_group dbr:Fano_plane dbr:Levi_graph dbr:PG(3,2) dbr:Pentagram dbr:Higman–Sims_graph dbr:Moore_graph dbr:Möbius–Kantor_graph dbr:Sylvester_graph dbr:Petersen_graph dbr:Regular_graph dbr:Independent_set_(graph_theory) dbr:Characteristic_polynomial dbr:Spectral_graph_theory dbr:Strongly_regular_graph dbr:Journal_of_Combinatorial_Theory dbr:Cambridge_University_Press dbr:Cage_(graph_theory) dbr:Symmetric_group dbr:Symmetric_graph dbr:Undirected_graph dbr:Table_of_the_largest_known_graphs_of_a_given_diameter_and_maximal_degree dbc:Regular_graphs dbc:Individual_graphs dbc:Strongly_regular_graphs dbr:Projective_special_unitary_group dbr:Hamiltonian_graph dbr:Automorphism_group dbr:Alan_Hoffman_(mathematician) dbr:Tutte-Coxeter_graph dbr:McKay–Miller–Širáň_graph dbr:Robert_R._Singleton dbr:Frobenius_automorphism dbr:Even_permutation dbr:Incidence_graph dbr:File:Hoffman-Singleton_graph.svg dbr:File:Hoffman_singleton_graph_circle2.gif
dbp:automorphisms	252000 (xsd:integer) (en)
dbp:chromaticIndex	7 (xsd:integer)
dbp:chromaticNumber	4 (xsd:integer)
dbp:diameter	2 (xsd:integer)
dbp:edges	175 (xsd:integer)
dbp:genus	29 (xsd:integer)
dbp:girth	5 (xsd:integer)
dbp:name	Hoffman–Singleton graph (en)
dbp:namesake	dbr:Alan_J._Hoffman dbr:Robert_R._Singleton
dbp:properties	dbr:Integral_graph dbr:Moore_graph dbr:Strongly_regular_graph dbr:Cage_(graph_theory) dbr:Symmetric_graph dbr:Hamiltonian_graph
dbp:radius	2 (xsd:integer)
dbp:vertices	50 (xsd:integer)
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dct:subject	dbc:Regular_graphs dbc:Individual_graphs dbc:Strongly_regular_graphs
gold:hypernym	dbr:Graph
rdfs:label	Hoffman–Singleton graph (en) Graphe de Hoffman-Singleton (fr) ホフマン–シングルトングラフ (ja) 호프만–싱글턴 그래프 (ko) Graf Hoffmana-Singletona (pl) Grafo de Hoffman-Singleton (pt) Граф Гофмана — Синглтона (uk) Граф Хоффмана — Синглтона (ru)
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prov:wasDerivedFrom	wikipedia-en:Hoffman–Singleton_graph?oldid=1309633853&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Hoffman-Singleton_graph.svg wiki-commons:Special:FilePath/Hoffman_singleton_graph_circle2.gif
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