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Metric dimension of some distance-regular graphs

Author

Listed:
  • Jun Guo

    (Langfang Teachers’ College)

  • Kaishun Wang

    (Beijing Normal University)

  • Fenggao Li

    (Hunan Institute of Science and Technology)

Abstract

A resolving set of a graph is a set of vertices with the property that the list of distances from any vertex to those in the set uniquely identifies that vertex. In this paper, we construct a resolving set of Johnson graphs, doubled Odd graphs, doubled Grassmann graphs and twisted Grassmann graphs, respectively, and obtain the upper bounds on the metric dimension of these graphs.

Suggested Citation

  • Jun Guo & Kaishun Wang & Fenggao Li, 2013. "Metric dimension of some distance-regular graphs," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 190-197, July.
    • Handle: RePEc:spr:jcomop:v:26:y:2013:i:1:d:10.1007_s10878-012-9459-x
    DOI: 10.1007/s10878-012-9459-x
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    References listed on IDEAS

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    1. András Sebő & Eric Tannier, 2004. "On Metric Generators of Graphs," Mathematics of Operations Research, INFORMS, vol. 29(2), pages 383-393, May.
    2. van Dam, E.R. & Koolen, J.H., 2004. "A New Family of Distance-Regular Graphs with Unbounded Diameter," Discussion Paper 2004-116, Tilburg University, Center for Economic Research.
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    Cited by:

    1. Laxman Saha & Mithun Basak & Kalishankar Tiwary & Kinkar Chandra Das & Yilun Shang, 2022. "On the Characterization of a Minimal Resolving Set for Power of Paths," Mathematics, MDPI, vol. 10(14), pages 1-13, July.

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