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Algorithm for solving the Hamiltonian cycle problem deterministically and in linear time on all instances of discocube graphs (tested for graphs with over 8 billion vertices). Discocube graphs are 3-dimensional grid graphs derived from: a polycube of an octahedron | a Hauy construction of an octahedron with cubes as identical building blocks...
An algorithm for solving the Hamiltonian cycle problem deterministically and in linear time on all instances of discocube graphs (tested for over graphs with 1 billion vertices).