Given a graph G=(V, E) on n vertices, the MAXIMUM r-REGULAR INDUCED SUBGRAPH (M-r-RIS) problems ask for a maximum sized subset of vertices R V such that the induced subgraph on R,...
Prior algorithms known for exactly solving Max 2-Sat improve upon the trivial upper bound only for very sparse instances. We present new algorithms for exactly solving (in fact, c...
One way of suggesting that an NP problem may not be NP-complete is to show that it is in the promise class UP. We propose an analogous new method—weaker in strength of evidence ...
We consider coGapSV P√ n, a gap version of the shortest vector in a lattice problem. This problem is known to be in AM ∩coNP but is not known to be in NP or in MA. We prove th...
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...