Computing Complete Graph Isomorphisms and Hamiltonian Cycles from Partial Ones

André Grosse; Joerg Rothe; Gerd Wechsung

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Computing Complete Graph Isomorphisms and Hamiltonian Cycles from Partial Ones

André Grosse·Joerg Rothe·Gerd Wechsung

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Abstract

We prove that computing a single pair of vertices that are mapped onto each other by an isomorphism $\phi$ between two isomorphic graphs is as hard as computing $\phi$ itself. This result optimally improves upon a result of G\'{a}l et al. We establish a similar, albeit slightly weaker, result about computing complete Hamiltonian cycles of a graph from partial Hamiltonian cycles.

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BibTeX RIS

André Grosse, Joerg Rothe, Gerd Wechsung. 2001-06-19. Computing Complete Graph Isomorphisms and Hamiltonian Cycles from Partial Ones. https://arxiv.org/abs/cs/0106041

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