We study two enumeration problems for up-down alternating trees, i.e., rooted labelled trees T, where the labels v1, v2, v3, . . . on every path starting at the root of T satisfy v...
The Baxter number Bn can be written as Bn = n k=0 Θk,n−k−1 with Θk,ℓ = 2 (k + 1)2 (k + 2) k + ℓ k k + ℓ + 1 k k + ℓ + 2 k . These numbers have first appeared in the...
Large scale gene duplication is a major force driving the evolution of genetic functional innovation. Whole genome duplications are widely believed to have played an important rol...
Background: Alternative representations of biochemical networks emphasise different aspects of the data and contribute to the understanding of complex biological systems. In this ...
Brian J. Holden, John W. Pinney, Simon C. Lovell, ...
This paper introduces two novel architectures for parallel decimal multipliers. Our multipliers are based on a new algorithm for decimal carry–save multioperand addition that us...