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» The Linear Complexity of a Graph
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SODA
1992
ACM
123views Algorithms» more  SODA 1992»
15 years 26 days 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»
14 years 10 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»
15 years 1 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»
15 years 9 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»
15 years 5 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