Isomorphism and canonization of tournaments and hypertournaments

We give a polynomial-time oracle algorithm for Tournament Canonization that accesses oracles for Tournament Isomorphism and Rigid-Tournament Canonization. Extending the Babai-Luks Tournament Canonization algorithm, we give an nO(k+log n) algorithm for canonization and isomorphism testing of k-hypertournaments, where n is the number of vertices and k is the size of hyperedges.

• Type: Journal
• Year: 2010
• Where: JCSS
• Authors: Vikraman Arvind, Bireswar Das, Partha Mukhopadhyay
• Keywords: Canonization, JCSS 2010, Tournament Canonization, Tournament Canonization Algorithm