We review the notion of hypertree width, a measure of the degree of cyclicity of hypergraphs that is useful for identifying and solving efficiently easy instances of hard problems...
For each k 2, let k (0, 1) be the largest number such that there exist k-uniform hypergraphs on n vertices with independent neighborhoods and (k + o(1)) n k edges as n . We pro...
Tom Bohman, Alan M. Frieze, Dhruv Mubayi, Oleg Pik...
We say that a hypergraph H is hamiltonian path (cycle) saturated if H does not contain an open (closed) hamiltonian chain but by adding any new edge we create an open (closed) ham...
Coarse grain parallelism inherent in the solution of Linear Programming (LP) problems with block angular constraint matrices has been exploited in recent research works. However, t...