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Summary

A multi-labelled tree (MUL-tree) is a rooted tree with leaf labels, where each label may appear more than once. The MUL-tree Set Pruning for Consistency problem (MULSETPC) asks if a perfect pruning of each MUL-tree results in a consistent set of single-labelled trees. MULSETPC is NP-complete, even with two MUL-trees, each leaf label used at most twice, and constant height. An extension, MULSETPComp, replaces consistency with compatibility and is also NP-complete. A polynomial-time algorithm exists for instances with a constant number of binary MUL-trees, where every leaf label occurs exactly once in at least one MUL-tree.

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Description

A multi-labelled tree (MUL-tree) is a rooted tree with leaf labels, where each label may appear more than once.

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  • File Format: PDF
  • File Size: 1.14 MB
  • Pages: 18
  • Language: EN
  • Total Downloads: 51
  • Last Updated: 2 months ago

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