The complexity of Graph Isomorphism (GI) is one of the major open problems. It is easy to see that . It is known that . The following theorem states that it is unlikely that GI is NP-complete. Theorem [Schöning'87, BHZ'87] : If GI is NP-complete then the polynomial hierarchy collapses to its second level. The counting [...]
Archive for September, 2010
Hardness of Graph Isomorphism
Posted in algorithms, complexity, graph theory, tagged determinant, graph isomorphism, LogCFL, NP-intermediate, perfect matching, polynomial hierarchy, strongly regular graphs on September 2, 2010 | 13 Comments »
