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Geodetic Sets in Graphs

In: Structural Analysis of Complex Networks

Author

Listed:
  • Boštjan Brešar
  • Matjaž Kovše
  • Aleksandra Tepeh

    (University of Maribor, FEECS)

Abstract

Geodetic sets in graphs are briefly surveyed. After an overview of earlier results, we concentrate on recent studies of the geodetic number and related invariants in graphs. Geodetic sets in Cartesian products of graphs and in median graphs are considered in more detail. Algorithmic issues and relations with several other concepts, arising from various convex and interval structures in graphs, are also presented.

Suggested Citation

  • Boštjan Brešar & Matjaž Kovše & Aleksandra Tepeh, 2011. "Geodetic Sets in Graphs," Springer Books, in: Matthias Dehmer (ed.), Structural Analysis of Complex Networks, chapter 0, pages 197-218, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4789-6_8
    DOI: 10.1007/978-0-8176-4789-6_8
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