We consider an LP relaxation for ATSP. We introduce concepts of high-value and high-flow cycles in LP basic solutions and show that the existence of this kind of cycles would lea...
Culberson and Rudnicki [1] gave an algorithm that reconstructs a degree d restricted tree from its distance matrix. According to their analysis, it runs in time O(dn logd n) for t...
We consider an integer-subset representation problem motivated by a medical application in radiation therapy. We prove NP-completeness, derive nontrivial bounds, and report on the...
Michael J. Collins, David Kempe, Jared Saia, Maxwe...
We show that the problem of reaching a state set with probability 1 in probabilisticnondeterministic systems operating in parallel is EXPTIME-complete. We then show that this prob...
We present a new proof of PSPACE-hardness of the emptiness problem for alternating finite automata with a singleton alphabet. This result was shown by Holzer (1995) who used a pr...