For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
For a simple path Pr on r vertices, the square of Pr is the graph P2 r on the same set of vertices of Pr , and where every pair of vertices of distance two or less in Pr is connec...
The low-density attack proposed by Lagarias and Odlyzko is a powerful algorithm against the subset sum problem. The improvement algorithm due to Coster et al. would solve almost a...
Tetsuya Izu, Jun Kogure, Takeshi Koshiba, Takeshi ...
A projective-planar signed graph has no two vertex-disjoint negative circles. We prove that every signed graph with no two vertex-disjoint negative circles and no balancing vertex...
The dartboard problem is to arrange n numbers on a circle to obtain maximum risk, which is the sum of the q-th power of the absolute differences of adjacent