We use Bernstein's Theorem [1] to obtain combinatorial bounds for the number of embeddings of Laman graph frameworks modulo rigid motions. For this, we study the mixed volume...
We study combinatorial bounds for geometric permutations of balls with bounded size disparity in d-space. Our main contribution is the following theorem: given a set S of n disjoi...
We establish a variety of combinatorial bounds on the tradeo s inherent in reconstructing strings using few rounds of a given number of substring queries per round. These results ...