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Linear time algorithms on mirror trees

Author

Listed:
  • Alain Quilliot

    (Université Clermont Auvergne)

  • Djamal Rebaine

    (Université du Québec à Chicoutimi)

Abstract

We address in this paper two problems on mirror graphs. The first is the recognition problem. While it is graph isomorphism complete, we show the analogous problem of recognizing mirror trees is solvable in linear time. The second problem we are tackling in this study is the linear ordering problem on mirror trees with respect to Directed Sum-Cut cost criterion for which a linear time algorithm is exhibited.

Suggested Citation

  • Alain Quilliot & Djamal Rebaine, 2022. "Linear time algorithms on mirror trees," Journal of Combinatorial Optimization, Springer, vol. 44(5), pages 3495-3519, December.
    • Handle: RePEc:spr:jcomop:v:44:y:2022:i:5:d:10.1007_s10878-022-00900-y
    DOI: 10.1007/s10878-022-00900-y
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    References listed on IDEAS

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    1. Marcelo Garlet Millani & Hendrik Molter & Rolf Niedermeier & Manuel Sorge, 2020. "Efficient algorithms for measuring the funnel-likeness of DAGs," Journal of Combinatorial Optimization, Springer, vol. 39(1), pages 216-245, January.
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