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
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
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
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
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
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
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
5 (section Graphs theory, and planar geometry)
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