Many applications depend on efficient management of large sets of distinct strings in memory. For example, during index construction for text databases a record is held for each d...
Restricted rotation distance between pairs of rooted binary trees measures differences in tree shape and is related to rotation distance. In restricted rotation distance, the rota...
Abstract. Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to tra...
We present a combinatorial proof of Postnikov's hook length formula for binary trees. c 2007 Elsevier Ltd. All rights reserved. Let [n] = {1, 2, . . . , n}. It is well known ...
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-...
Deciding whether a graph can be embedded in a grid using only unitlength edges is NP-complete, even when restricted to binary trees. However, it is not difficult to devise a numbe...
A tanglegram is a pair of trees whose leaf sets are in oneto-one correspondence; matching leaves are connected by inter-tree edges. In applications such as phylogenetics or hierar...
We further refine the bounds on the path length of binary trees of a given size by considering not only the size of a binary tree, but also its height and fringe thickness (the d...
Abstract. Binary join trees have been a popular structure to compute the impact of multiple belief functions initially assigned to nodes of trees or networks. Shenoy has proposed t...
Recursion represents an important addition to the SQL language. This work focuses on the optimization of linear requeries in SQL. To provide an abstract framework for discussion, ...