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Hamiltonian cycle СЪЩ

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In all other cases it has a Hamiltonian cycle.
en.wikipedia.org
Any valid seating arrangement can be described by the sequence of people in order around the table, which forms a Hamiltonian cycle in the graph.
en.wikipedia.org
Find the cheapest Hamiltonian cycle containing each of these edges (and possibly others).
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Often, it is required to decompose a graph into subgraphs isomorphic to a fixed graph; for instance, decomposing a complete graph into Hamiltonian cycles.
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In particular this means that it has a Hamiltonian cycle.
en.wikipedia.org
Clearly, if this statement is true, then every bipartite cubic polyhedron contains a Hamiltonian cycle: just choose "e" and "f" arbitrarily.
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The arrangements satisfying this rule, for a party consisting of "n" married couples, can be described as the Hamiltonian cycles of a crown graph.
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If there is a Hamiltonian cycle, an even number of these edges must be chosen.
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It is the smallest bridgeless cubic graph with no Hamiltonian cycle.
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The problem of finding a closed knight's tour is similarly an instance of the Hamiltonian cycle problem.
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