Embedding Partially Ordered Sets intoChain -

  title={Embedding Partially Ordered Sets intoChain -},
  author={P. Habib and Marianne Huchard and Lhouari NourineD},
Embedding partially ordered sets into chain-products is already known to be NP-complete (see Yannakakis 30] for dimension or Stahl and Wille 26] for 2-dimension). In this paper, we introduce a new dimension parameter and show that encoding using terms (or k-dimension) is not better than bit-vector (or 2-dimension) and vice versa. A decomposition theory is introduced using coatomic lattices. An algorithm is provided to compute the associated decomposition tree. Such a tree is unique for a… CONTINUE READING
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