of graph theory, the Ellingham–Horton graphs are two 3-regular graphs on 54 and 78 vertices: the Ellingham–Horton 54-graph and the Ellingham–Horton 78-graph...
5 KB (444 words) - 23:29, 29 November 2023
are a 92 vertex graph by Horton published in 1982, a 78 vertex graph by Owens published in 1983, and the two Ellingham-Horton graphs (54 and 78 vertices)...
4 KB (603 words) - 11:47, 18 August 2023
counterexample on 96 vertices, the Horton graph. Later, Mark Ellingham constructed two more counterexamples: the Ellingham–Horton graphs. Barnette's conjecture,...
15 KB (1,777 words) - 22:39, 19 June 2025
Louisa Ellingham (née Glasson), Martin's wife in the series Ruth Ellingham, Martin's aunt in the series Ellingham diagram Ellingham–Horton graph This disambiguation...
815 bytes (115 words) - 19:09, 24 November 2024
Mark Norman Ellingham is a professor of mathematics at Vanderbilt University whose research concerns graph theory. With Joseph D. Horton, he is the discoverer...
2 KB (145 words) - 04:50, 31 March 2019
54 (number) (section Graph theory)
603. The second Ellingham–Horton graph was published by Mark N. Ellingham and Joseph D. Horton in 1983; it is of order 54. These graphs provided further...
17 KB (1,640 words) - 00:34, 20 June 2025
Brinkmann graph Bull graph Butterfly graph Chvátal graph Diamond graph Dürer graph Ellingham–Horton 54-graph Ellingham–Horton 78-graph Errera graph Franklin...
14 KB (1,247 words) - 18:21, 11 May 2025
various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...
7 KB (85 words) - 19:28, 12 March 2024
Mark Ellingham – professor of mathematics, discoverer and namesake of the Ellingham–Horton graphs, two cubic 3-vertex-connected bipartite graphs that...
323 KB (32,002 words) - 17:25, 28 June 2025