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IPL
2010
71views more  IPL 2010»
13 years 3 months ago
New common ancestor problems in trees and directed acyclic graphs
We derive a new generalization of lowest common ancestors (LCAs) in dags, called the lowest single common ancestor (LSCA). We show how to preprocess a static dag in linear time su...
Johannes Fischer, Daniel H. Huson
ECCC
2006
112views more  ECCC 2006»
13 years 5 months ago
Faster algorithms for finding lowest common ancestors in directed acyclic graphs
We present two new methods for finding a lowest common ancestor (LCA) for each pair of vertices of a directed acyclic graph (dag) on n vertices and m edges. The first method is su...
Artur Czumaj, Miroslaw Kowaluk, Andrzej Lingas
ICALP
1990
Springer
13 years 9 months ago
Analytic Variations on the Common Subexpression Problem
Any tree can be represented in a max/ma//y compact form as a directed acyclic graph where common subtrees are factored and shared, being represented only once. Such a compaction ca...
Philippe Flajolet, Paolo Sipala, Jean-Marc Steyaer...
ICALP
2009
Springer
14 years 5 months ago
On Cartesian Trees and Range Minimum Queries
We present new results on Cartesian trees with applications in range minimum queries and bottleneck edge queries. We introduce a cache-oblivious Cartesian tree for solving the ran...
Erik D. Demaine, Gad M. Landau, Oren Weimann
BMEI
2008
IEEE
13 years 11 months ago
A New Approach for Tree Alignment Based on Local Re-Optimization
Multiple sequence alignment is the most fundamental task in bioinformatics and computational biology. In this paper, we present a new algorithm to conduct multiple sequences align...
Feng Yue, Jijun Tang