• Thumbnail for Petersen graph
    mathematical field of graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges. It is a small graph that serves as a useful...
    24 KB (2,926 words) - 19:05, 30 April 2024
  • Thumbnail for Generalized Petersen graph
    They include the Petersen graph and generalize one of the ways of constructing the Petersen graph. The generalized Petersen graph family was introduced...
    12 KB (1,382 words) - 18:42, 19 May 2024
  • The Petersen Graph is a mathematics book about the Petersen graph and its applications in graph theory. It was written by Derek Holton and John Sheehan...
    5 KB (616 words) - 20:31, 19 February 2024
  • Thumbnail for Algebraic graph theory
    matrix of a graph (this part of algebraic graph theory is also called spectral graph theory). For the Petersen graph, for example, the spectrum of the adjacency...
    7 KB (671 words) - 16:56, 27 November 2023
  • Thumbnail for Snark (graph theory)
    snark is planar. The first graph known to be a snark was the Petersen graph; it was proved to be a snark by Julius Petersen in 1898, although it had already...
    23 KB (2,707 words) - 17:53, 9 May 2023
  • Thumbnail for Cubic graph
    individual graphs are cubic and symmetric, including the utility graph, the Petersen graph, the Heawood graph, the Möbius–Kantor graph, the Pappus graph, the...
    15 KB (1,777 words) - 20:46, 11 March 2024
  • graph Cameron graph Petersen graph Hall–Janko graph Hoffman–Singleton graph Higman–Sims graph Paley graph of order 13 Shrikhande graph Schläfli graph...
    14 KB (1,251 words) - 14:50, 13 March 2024
  • Thumbnail for Graph factorization
    and these graphs are not 1-factorable; examples of such graphs include: Any regular graph with an odd number of nodes. The Petersen graph. A 1-factorization...
    11 KB (1,237 words) - 00:29, 7 March 2024
  • Thumbnail for Kneser graph
    O3 = K(5, 2) is the Petersen graph (see top right figure). The Kneser graph O4 = K(7, 3), visualized on the right. The Kneser graph K ( n , k ) {\displaystyle...
    14 KB (1,627 words) - 02:36, 16 May 2024
  • Thumbnail for 5
    number of 5. The Petersen graph, which is also a distance-regular graph, is one of only 5 known connected vertex-transitive graphs with no Hamiltonian...
    100 KB (12,879 words) - 13:38, 15 May 2024