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Advanced Graph Algorithms

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Guide to Competitive Programming

Part of the book series: Undergraduate Topics in Computer Science ((UTICS))

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Abstract

This chapter discusses a selection of advanced graph algorithms. Section 12.1 presents an algorithm for finding the strongly connected components of a graph. After this, we will learn how to efficiently solve the 2SAT problem using the algorithm.

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Notes

  1. 1.

    This elegant algorithm is not very well known; a detailed description can be found in a textbook by Ahuja et al. [1].

  2. 2.

    If there is an edge from a to b and also an edge from b to a, we have to add a reverse edge for both of the edges. Thus, we cannot combine edges like in the maximum flow problem, because the edges have costs which must be taken into account.

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Correspondence to Antti Laaksonen .

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Laaksonen, A. (2020). Advanced Graph Algorithms. In: Guide to Competitive Programming. Undergraduate Topics in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-030-39357-1_12

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  • DOI: https://doi.org/10.1007/978-3-030-39357-1_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-39356-4

  • Online ISBN: 978-3-030-39357-1

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