Efficient algorithm for the vertex connectivity of trapezoid graphs

  • Authors:
  • Aleksandar Ilić

  • Affiliations:
  • Faculty of Sciences and Mathematics, Višegradska 33, 18000 Niš, Serbia

  • Venue:
  • Information Processing Letters
  • Year:
  • 2013

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Abstract

The intersection graph of a collection of trapezoids with corner points lying on two parallel lines is called a trapezoid graph. These graphs and their generalizations were applied in various fields, including modeling channel routing problems in VLSI design and identifying the optimal chain of non-overlapping fragments in bioinformatics. Using modified binary indexed tree data structure, we design an algorithm for calculating the vertex connectivity of trapezoid graph G with time complexity O(nlogn), where n is the number of trapezoids.