First we recall some standard definitions. By a d-dimensional convex body we mean a compact convex subset of Rd with non-empty interior. Two subsets of Rd with non-empty interiors are non-overlapping if they have no common interior point, and we say that they touch each other if they are non-overlapping and their intersection is non-empty. Denote by H(K) the translative kissing number of a d-di...

1 We are indebted to Milward (1994) for provoking and providing a starting point for this renewed research on coordination. Many of these ideas were discussed at various meetings and in email discussions and we thank the many participants: Caroline Brun, Max Copperman, Mary Dalrymple, Marc Dymetman, John Fry, Ron Kaplan, Lauri Karttunen, Martin Kay, Paula Newman, Mar a-Eugenia Ni~ no, Fr ed eri...

In general, not much is known about the arithmetic of K3 surfaces. Once the geometric Picard number, which is the rank of the Néron-Severi group over an algebraic closure of the base field, is high enough, more structure is known and more can be said. However, until recently not a single K3 surface was known to have geometric Picard number one. We give explicit examples of such surfaces over th...

Given a tree and a set P of non-trivial simple paths on it, Vpt(P) is the VPT graph (i.e. the vertex intersection graph) of the paths P of the tree T , and Ept(P) is the EPT graph (i.e. the edge intersection graph) of P. These graphs have been extensively studied in the literature. Given two (edge) intersecting paths in a graph, their split vertices is the set of vertices having degree at least...

http://dx.doi.org/10.1016/j.infsof.2015.02.002 0950-5849/ 2015 Elsevier B.V. All rights reserved. ⇑ Corresponding author at: Department of Computer Languages and Systems, University of Seville, Spain. E-mail addresses: [email protected], [email protected] (J.A. Galindo), deepak. [email protected] (D. Dhungana), [email protected] (R. Rabiser), [email protected] (D. Benavides), goetz.botterweck...

We investigate a proposed reform of U.S. personal bankruptcy law which combines Chapters 7 and 13. The proposed reform obliges debtors in bankruptcy to use part of both their wealth and their future earnings to repay debt and therefore bases the obligation to repay in bankruptcy on debtors' ability-to-pay. An important function of personal bankruptcy is to provide partial wealth insurance for r...