Ellingham–Horton graph

id: ellingham-horton-graph-249-13956394
title: Ellingham–Horton graph
text: In the mathematical field 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. They are named after Joseph D. Horton and Mark N. Ellingham, their discoverers. These two graphs provide counterexamples to the conjecture of W. T. Tutte that every cubic 3-connected bipartite graph is Hamiltonian. The book thickness of the Ellingham-Horton 54-graph and the Ellingham-Horton 78-graph is 3 and the qu
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Ellingham%E2%80%93Horton_graph
date created:
date modified: 2023-11-29T23:29:33Z
main entity: {"identifier":"Q2817463","url":"https://www.wikidata.org/entity/Q2817463"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/da/Ellingham-Horton_54-graph.svg","width":478,"height":415}
fields total: 13
integrity: 14

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