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The vertex-adjacency dual of a triangulated irregular network has a Hamiltonian cycle

, and . Operations Research Letters, 32 (4): 304-308 (2004)
DOI: https://doi.org/10.1016/j.orl.2003.11.005

Abstract

Triangulated irregular networks (TINs) are common representations of surfaces in computational graphics. We define the dual of a TIN in a special way, based on vertex-adjacency, and show that its Hamiltonian cycle always exists and can be found efficiently. This result has applications in transmission of large graphics datasets.

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The vertex-adjacency dual of a triangulated irregular network has a Hamiltonian cycle - ScienceDirect

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