Catalan numbers C(n) = 1 n+1 2n n enumerate binary trees and Dyck paths. The distribution of paths with respect to their number k of factors is given by ballot numbers B(n, k) = n-...
Splay trees, a form of self-adjusting binary tree, were introduced by Sleator and Tarjan in the early 1980s. Their main use is to store ordered lists. The idea is to keep the tree...
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
We motivate and analyse a new Tree Search algorithm, based on recent advances in the use of Gaussian Processes for bandit problems. We assume that the function to maximise on the ...
We present two new parallel algorithms for extending the domain of a UOWHF. The first algorithm is complete binary tree based construction and has less key length expansion than S...
Wonil Lee, Donghoon Chang, Sangjin Lee, Soo Hak Su...