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IPL
2010
71views more  IPL 2010»
13 years 7 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 8 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
14 years 17 days 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 8 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
14 years 3 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