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A Linear-Time Algorithm for Finding Locally Connected Spanning Trees on Circular-Arc Graphs

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Abstract

Suppose that T is a spanning tree of a graph G. T is called a locally connected spanning tree of G if for every vertex of T, the set of all its neighbors in T induces a connected subgraph of G. In this paper, given an intersection model of a circular-arc graph, an O(n)-time algorithm is proposed that can determine whether the circular-arc graph contains a locally connected spanning tree or not, and produce one if it exists.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, National Taiwan Ocean University, Keelung, 20224, Taiwan

    Ching-Chi Lin

  2. Department of Computer Science and Information Engineering, National Taiwan University, Taipei, 10617, Taiwan

    Gen-Huey Chen

  3. Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan

    Gerard J. Chang

  4. Taida Institute for Mathematical Sciences, National Taiwan University, Taipei, 10617, Taiwan

    Gerard J. Chang

  5. National Center for Theoretical Sciences, Taipei Office, Taipei, 10617, Taiwan

    Gerard J. Chang

Authors
  1. Ching-Chi Lin
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  2. Gen-Huey Chen
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  3. Gerard J. Chang
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Corresponding author

Correspondence to Gen-Huey Chen.

Additional information

G.J. Chang was supported in part by the National Science Council under grant NSC-97-2221-E-002-125-MY3.

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Lin, CC., Chen, GH. & Chang, G.J. A Linear-Time Algorithm for Finding Locally Connected Spanning Trees on Circular-Arc Graphs. Algorithmica 66, 369–396 (2013). https://doi.org/10.1007/s00453-012-9641-7

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  • DOI: https://doi.org/10.1007/s00453-012-9641-7

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