Abstract
We give a historical account of the parametrized results for the k-Path problem: given a graph G and a positive integer k, is there a simple path in G of length k. Throughout the years several ingenious approaches have been used, steadily decreasing the run time bound. Moreover, the techniques used have often found lots of other applications. We will revisit some of the old results, as well as cover the state-of-the-art techniques based on algebraic sieves. We will also briefly talk about what is known about counting k-paths.
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© 2012 Springer-Verlag Berlin Heidelberg
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Björklund, A. (2012). The Path Taken for k-Path. In: Thilikos, D.M., Woeginger, G.J. (eds) Parameterized and Exact Computation. IPEC 2012. Lecture Notes in Computer Science, vol 7535. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33293-7_1
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DOI: https://doi.org/10.1007/978-3-642-33293-7_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33292-0
Online ISBN: 978-3-642-33293-7
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