It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
We consider a system of m linear equations in n variables Ax = d and give necessary and sufficient conditions for the existence of a unique solution to the system that is integer:...
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
The Bermond-Thomassen conjecture states that, for any positive integer r, a digraph of minimum out-degree at least 2r -1 contains at least r vertex-disjoint directed cycles. Thoma...
We describe here a method for building a support vector machine (SVM) with integer parameters. Our method is based on a branchand-bound procedure, derived from modern mixed intege...