Search results for: RESOLVING SETS

• On the partition dimension of trees

  Publication

  • J. A. Rodriguez-Velazguez
  • I. G. Yero
  • M. Lemańska

  - DISCRETE APPLIED MATHEMATICS - Year 2014

  Given an ordered partition Π={P1,P2,…,Pt} of the vertex set V of a connected graph G=(V,E), the partition representation of a vertex v∈V with respect to the partition Π is the vector r(v|Π)=(d(v,P1),d(v,P2),…,d(v,Pt)), where d(v,Pi) represents the distance between the vertex vv and the set Pi. A partition Π of V is a resolving partition of G if different vertices of G have different partition representations, i.e., for every...

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• On the metric dimension of corona product graphs

  Publication

  • I. G. Yero
  • D. Kuziak
  • J. A. RODRíGUEZ-VELáZQUEZ

  - COMPUTERS & CHEMICAL ENGINEERING - Year 2011

  We give several results on the metric dimension of corona product graphs.

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