Center and diameter problems in plane triangulations and quadrangulations

  • Authors:
  • Victor Chepoi;Feodor Dragan;Yann Vaxès

  • Affiliations:
  • Université Aix-Marseille II, France;Kent State University, Ohio;Université Aix-Marseille II, France

  • Venue:
  • SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2002

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Abstract

In this note, we present first linear time algorithms for computing the center and the diameter of several classes of face regular plane graphs: triangulations with inner vertices of degree ≥ 6, quadrangulations with inner vertices of degree ≥ 4 and the subgraphs of the regular hexagonal grid bounded by a simple circuit of this grid.