Deterministic “Snakes and Ladders” Heuristic for the Hamiltonian cycle problem
We present a polynomial complexity, deterministic, heuristic for solving the Hamiltonian
cycle problem (HCP) in an undirected graph of order n n. Although finding a Hamiltonian
cycle is not theoretically guaranteed, we have observed that the heuristic is successful even
in cases where such cycles are extremely rare, and it also performs very well on all HCP
instances of large graphs listed on the TSPLIB web page. The heuristic owes its name to a
visualisation of its iterations. All vertices of the graph are placed on a given circle in some …
cycle problem (HCP) in an undirected graph of order n n. Although finding a Hamiltonian
cycle is not theoretically guaranteed, we have observed that the heuristic is successful even
in cases where such cycles are extremely rare, and it also performs very well on all HCP
instances of large graphs listed on the TSPLIB web page. The heuristic owes its name to a
visualisation of its iterations. All vertices of the graph are placed on a given circle in some …
Deterministic" Snakes and Ladders" Heuristic for the Hamiltonian Cycle Problem
We present a polynomial complexity, deterministic, heuristic for solving the Hamiltonian
Cycle Problem (HCP) in an undirected graph of order $ n $. Although finding a Hamiltonian
cycle is not theoretically guaranteed, we have observed that the heuristic is successful even
in cases where such cycles are extremely rare, and it also performs very well on all HCP
instances of large graphs listed on the TSPLIB web page. The heuristic owes its name to a
visualisation of its iterations. All vertices of the graph are placed on a given circle in some …
Cycle Problem (HCP) in an undirected graph of order $ n $. Although finding a Hamiltonian
cycle is not theoretically guaranteed, we have observed that the heuristic is successful even
in cases where such cycles are extremely rare, and it also performs very well on all HCP
instances of large graphs listed on the TSPLIB web page. The heuristic owes its name to a
visualisation of its iterations. All vertices of the graph are placed on a given circle in some …
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