We prove that any collection of n discs in which each one intersects at most k others, can be colored with at most O(log3 k) colors so that for each point p in the union of all di...
: The immobilization of non-rigid objects is currently an active research area in robotics. This paper explores the problem by studying the immobilization of serial chains of rigid...
We consider the rooted orienteering problem: Given a set P of n points in the plane, a starting point r P, and a length constraint B, one needs to find a path starting from r tha...
A chain of a set P of n points in the plane is a chain of the dominance order on P. A k-chain is a subset C of P that can be covered by k chains. A k-chain C is a maximum k-chain ...
The Lenstra-Lenstra-Lov´asz lattice basis reduction algorithm (LLL or L3 ) is a very popular tool in public-key cryptanalysis and in many other fields. Given an integer d-dimensi...