Squeeze-free Hamiltonian Paths in Grid Graphs
نویسندگان
چکیده
Motivated by multi-robot construction systems, we introduce the problem of finding squeeze-free Hamiltonian paths in grid graphs. A Hamiltonian path is squeeze-free if it does not pass between two previously visited vertices lying on opposite sides. We determine necessary and sufficient conditions for the existence of squeeze-free Hamiltonian paths in staircase grid graphs. Our proofs are constructive and lead to linear time algorithms for determining such paths, provided that they exist.
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