• Thumbnail for Ellingham–Horton graph
    of graph theory, the EllinghamHorton graphs are two 3-regular graphs on 54 and 78 vertices: the EllinghamHorton 54-graph and the EllinghamHorton 78-graph...
    5 KB (444 words) - 23:29, 29 November 2023
  • Thumbnail for Horton graph
    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
  • Thumbnail for Cubic graph
    counterexample on 96 vertices, the Horton graph. Later, Mark Ellingham constructed two more counterexamples: the EllinghamHorton 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 EllinghamHorton graph This disambiguation...
    815 bytes (115 words) - 19:09, 24 November 2024
  • Thumbnail for Mark Ellingham
    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
  • 603. The second EllinghamHorton 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 EllinghamHorton 54-graph EllinghamHorton 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 EllinghamHorton graphs, two cubic 3-vertex-connected bipartite graphs that...
    323 KB (32,002 words) - 17:25, 28 June 2025