Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let (H) denote the maximum number of members of H no two of which share a ...
Let h > w > 0 be two fixed integers. Let H be a random hypergraph whose hyperedges are uniformly of size h. To w-orient a hyperedge, we assign exactly w of its vertices posi...
Recent progress in genomics and proteomics makes it possible to understand the biological networks at the systems level. We aim to develop computational models of learning and memo...
Abstract: In any r-uniform hypergraph H for 2 t r we define an runiform t-tight Berge-cycle of length , denoted by C(r,t) , as a sequence of distinct vertices v1, v2, . . . , v ,...