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Hamiltonian path
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==See also== {{div col|colwidth=30em}} * [[Barnette's conjecture]], an open problem on Hamiltonicity of cubic [[bipartite graph|bipartite]] [[polyhedral graph]]s * [[Eulerian path]], a path through all edges in a graph * [[Fleischner's theorem]], on Hamiltonian [[power of graph|squares of graphs]] * [[Gray code]] * [[Grinberg's theorem]] giving a necessary condition for [[planar graph]]s to have a Hamiltonian cycle * [[Hamiltonian path problem]], the computational problem of finding Hamiltonian paths * [[Hypohamiltonian graph]], a non-Hamiltonian graph in which every vertex-deleted subgraph is Hamiltonian * [[Knight's tour]], a Hamiltonian cycle in the [[knight's graph]] * [[LCF notation]] for Hamiltonian [[cubic graph]]s. * [[Lovász conjecture]] that [[vertex-transitive graph]]s are Hamiltonian * [[Pancyclic graph]], graphs with cycles of all lengths including a Hamiltonian cycle *[[Panconnectivity]], a strengthening of both pancyclicity and Hamiltonian-connectedness * [[Seven Bridges of Königsberg]] * [[Shortness exponent]], a numerical measure of how far from Hamiltonian the graphs in a family can be * [[Snake-in-the-box]], the longest [[induced path]] in a hypercube * [[Steinhaus–Johnson–Trotter algorithm]] for finding a Hamiltonian path in a [[permutohedron]] * [[Subhamiltonian graph]], a subgraph of a [[planar graph|planar]] Hamiltonian graph * [[Tait's conjecture]] (now known false) that 3-regular [[polyhedral graph]]s are Hamiltonian * [[Travelling salesman problem]] * [[Harris graph|Harris graphs]], a family of graphs that are tough, [[Eulerian path|Eulerian]], and non-Hamiltonian{{div col end}}
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