If f(m, n) is the (vertex) independence number of the m × n grid graph, then we show that the double limit η = def limm,n→∞ f(m, n) 1 mn exists, thereby refining earlier res...
We present a matrix multiplication based algorithm for counting the number of (induced) occurrences of a fixed r-uniform hypergraph in a larger hypergraph. In many cases, the runn...