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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/7891

Title: On Computing Longest Paths in Small Graph Classes
Authors: Uehara, Ryuhei
Uno, Yushi
Keywords: algorithmic graph theory
design and analysis of algorithms
graph classes
longest path problem
Issue Date: 2007-10
Publisher: World Scientific Publishing
Magazine name: International Journal of Foundations of Computer Science
Volume: 18
Number: 5
Start page: 911
End page: 930
DOI: 10.1142/S0129054107005054
Abstract: The longest path problem is the one that finds a longest path in a given graph. While the graph classes in which the Hamiltonian path problem can be solved efficiently are widely investigated, few graph classes are known to be solved efficiently for the longest path problem. Among those, for trees, a simple linear time algorithm for the longest path problem is known. We first generalize the algorithm, and show that the longest path problem can be solved efficiently for some tree-like graph classes by this approach. We next propose two new graph classes that have natural interval representations, and show that the longest path problem can be solved efficiently on these classes.
Rights: Electronic version of an article published as International Journal of Foundations of Computer Science, 18(5), 2007, 911-930. DOI:10.1142/S0129054107005054. Copyright World Scientific Publishing Company, http://dx.doi.org/10.1142/S0129054107005054
URI: http://hdl.handle.net/10119/7891
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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