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About: Perkel graph

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In mathematics, the Perkel graph, named after Manley Perkel, is a 6-regular graph with 57 vertices and 171 edges. It is the unique distance-regular graph with intersection array (6, 5, 2; 1, 1, 3). The Perkel graph is also distance-transitive. It is also the skeleton of an abstract regular polytope, the 57-cell.

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  • Le graphe de Perkel est, en théorie des graphes, un graphe 6-régulier possédant 57 sommets et 171 arêtes. C'est l'unique graphe distance-régulier ayant pour vecteur d'intersection {6, 5, 2 ; 1, 1, 3}. (fr)
  • In mathematics, the Perkel graph, named after Manley Perkel, is a 6-regular graph with 57 vertices and 171 edges. It is the unique distance-regular graph with intersection array (6, 5, 2; 1, 1, 3). The Perkel graph is also distance-transitive. It is also the skeleton of an abstract regular polytope, the 57-cell. (en)
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  • 3 (xsd:integer)
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  • 171 (xsd:integer)
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  • 5 (xsd:integer)
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  • Perkel graphs with 19-fold symmetry (en)
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  • Perkel graph (en)
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  • 3 (xsd:integer)
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  • Perkel graph (en)
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  • PerkelGraph (en)
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  • 57 (xsd:integer)
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  • Le graphe de Perkel est, en théorie des graphes, un graphe 6-régulier possédant 57 sommets et 171 arêtes. C'est l'unique graphe distance-régulier ayant pour vecteur d'intersection {6, 5, 2 ; 1, 1, 3}. (fr)
  • In mathematics, the Perkel graph, named after Manley Perkel, is a 6-regular graph with 57 vertices and 171 edges. It is the unique distance-regular graph with intersection array (6, 5, 2; 1, 1, 3). The Perkel graph is also distance-transitive. It is also the skeleton of an abstract regular polytope, the 57-cell. (en)
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  • Perkel graph (en)
  • Graphe de Perkel (fr)
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