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  • Tutte graph - Wikipedia
    From a small planar graph called the Tutte fragment, W T Tutte constructed a non-Hamiltonian polyhedron, by putting together three such fragments
  • Tutte Fragment - from Wolfram MathWorld
    Tutte (1946) used this fact to join three Tutte fragments (at their tops and sides) into the Tutte graph, the first known counterexample to Tait's Hamiltonian graph conjecture
  • Putting Tutte’s counterexample to Tait’s conjecture in perspective to . . .
    The Tutte Fragment (TF) is a particular planar subcubic graph with only three 2 -valent vertices [7] Figure 1 illustrates it by placing the three 2 -valent vertices a, b, and c on the extreme points of an equilateral triangle
  • Taits conjecture - Wikipedia
    The key to this counter-example is what is now known as Tutte's fragment, shown on the right If this fragment is part of a larger graph, then any Hamiltonian cycle through the graph must go in or out of the top vertex (and either one of the lower ones)
  • Taits conjecture explained
    The key to this counter-example is what is now known as Tutte's fragment, shown on the right If this fragment is part of a larger graph, then any Hamiltonian cycle through the graph must go in or out of the top vertex (and either one of the lower ones)
  • Tutte Graph - from Wolfram MathWorld
    Tutte's (46-vertex) graph is a cubic nonhamiltonian graph contructed by Tutte (1946) as a counterexample to Tait's Hamiltonian graph conjecture by using three copies of the Tutte fragment (Grünbaum 2003, pp 359-360, Fig 17 1 4)
  • Tutte graph - HandWiki
    From a small planar graph called the Tutte fragment, W T Tutte constructed a non-Hamiltonian polyhedron, by putting together three such fragments
  • Graph Theory - faculty. etsu. edu
    By the Tutte-Berge Theorem (Theorem 16 11) G has a barrier B ⊆ V where 0(G − B) − |B| = |U| Because M∗ is not a perfect matching then |U| ≥ 1 Thus o(G − B) = |B| + |U| ≥ |B| + 1 so that the equation is violated
  • Walther graph - Wikipedia
    In the mathematical field of graph theory, the Walther graph, also called the Tutte fragment, is a planar bipartite graph with 25 vertices and 31 edges named after Hansjoachim Walther [1]
  • Tutte graph - Reference. org
    From a small planar graph called the Tutte fragment, W T Tutte constructed a non-Hamiltonian polyhedron, by putting together three such fragments





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