Common structured patterns in linear graphs: approximation and combinatorics

  • Authors:
  • Guillaume Fertin;Danny Hermelin;Romeo Rizzi;Stéphane Vialette

  • Affiliations:
  • LINA, Univ. Nantes, Nantes, France;Dpt. Computer Science, Univ. Haifa, Mount Carmel, Haifa, Israel;DIMI, Univ. Udine, Udine, Italy;LRI, UMR 8623, Univ. Paris-Sud, Orsay, France

  • Venue:
  • CPM'07 Proceedings of the 18th annual conference on Combinatorial Pattern Matching
  • Year:
  • 2007

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Abstract

A linear graph is a graph whose vertices are linearly ordered. This linear ordering allows pairs of disjoint edges to be either preceding (k) for {k1/2 for {⊆, ≬}-structured patterns, and (iii) O(√k lg k) for {k is the size of the optimal solution and H (k) = Σi=1k 1/i is the k-th harmonic number.