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. © 2011 Springer Science+Business Media, LLC.
CITATION STYLE
Brešar, B., Kovše, M., & Tepeh, A. (2011). Geodetic sets in graphs. In Structural Analysis of Complex Networks (pp. 197–218). Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4789-6_8
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