Applications of Lexicographic Breadth-first Search to Modular Decomposition, Split Decomposition, and Circle Graphs

Applications of Lexicographic Breadth-first Search to Modular Decomposition, Split Decomposition, and Circle Graphs

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This thesis presents the first sub-quadratic circle graph recognition algorithm, and develops improved algorithms for two important hierarchical decomposition schemes: modular decomposition and split decomposition. The modular decomposition algorithm results from unifying two different approaches p...

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Bibliographic Details
Main Author: Tedder, Marc
Other Authors: Corneil, Derek
Language:en_ca
Published: 2011
Subjects:
Modular Decomposition
Split Decomposition
Circle Graphs
Lexicographic Breadth-First Search
LBFS
LexBFS
Charging argument
Amortized analysis
Aggregate analysis
Recognition
Graph Labelled Trees
GLT
0984
Online Access:http://hdl.handle.net/1807/29888

Internet

http://hdl.handle.net/1807/29888

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