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Register a new userComputing bounded-width tree and branch decompositions of k-outerplanar graphs
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Added by
Ioannis Katsikarelis
Publication date
2013
fields
Informatics Engineering
and research's language is
English
Authors
Ioannis Katsikarelis
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By a well known result the treewidth of k-outerplanar graphs is at most 3k-1. This paper gives, besides a rigorous proof of this fact, an algorithmic implementation of the proof, i.e. it is shown that, given a k-outerplanar graph G, a tree decomposition of G of width at most 3k-1 can be found in O(kn) time and space. Similarly, a branch decomposition of a k-outerplanar graph of width at most 2k+1 can be also obtained in O(kn) time, the algorithm for which is also analyzed.
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