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» The Linear Complexity of a Graph
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SODA
1992
ACM
123views Algorithms» more  SODA 1992»
13 years 9 months ago
Computing Minimal Spanning Subgraphs in Linear Time
Let P be a property of undirected graphs. We consider the following problem: given a graph G that has property P, nd a minimal spanning subgraph of G with property P. We describe ...
Xiaofeng Han, Pierre Kelsen, Vijaya Ramachandran, ...
IPL
2010
71views more  IPL 2010»
13 years 6 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
ESA
2008
Springer
130views Algorithms» more  ESA 2008»
13 years 9 months ago
Linear Time Planarity Testing and Embedding of Strongly Connected Cyclic Level Graphs
Abstract. A level graph is a directed acyclic graph with a level assignment for each node. Such graphs play a prominent role in graph drawing. They express strict dependencies and ...
Christian Bachmaier, Wolfgang Brunner
SODA
2010
ACM
261views Algorithms» more  SODA 2010»
14 years 5 months ago
Bidimensionality and Kernels
Bidimensionality theory appears to be a powerful framework in the development of meta-algorithmic techniques. It was introduced by Demaine et al. [J. ACM 2005 ] as a tool to obtai...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
ISAAC
2007
Springer
100views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Dynamic Distance Hereditary Graphs Using Split Decomposition
The problem of maintaining a representation of a dynamic graph as long as a certain property is satisfied has recently been considered for a number of properties. This paper prese...
Emeric Gioan, Christophe Paul