The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Abstract. In this paper we prove the optimality and other properties of the -adic nonadjacent form: this expansion has been introduced in order to efficiently compute scalar multip...
Roberto Maria Avanzi, Clemens Heuberger, Helmut Pr...
We show that the number of t-ary trees with path length equal to p is t h(t-1) tp log2 p(1+o(1)) , where h(x)=-x log2 x-(1-x) log2(1-x) is the binary entropy function. Besides its...
Abstract. An overpartition of an integer n is a partition where the last occurrence of a part can be overlined. We study the weight of the overlined parts of an overpartition count...
Sylvie Corteel, William M. Y. Goh, Pawel Hitczenko
We design a variation of skip lists that performs well for generally biased access sequences. Given n items, each with a positive weight wi, 1 i n, the time to access item i is O...
Amitabha Bagchi, Adam L. Buchsbaum, Michael T. Goo...