Geodetic Sets in Graphs

Boštjan Brešar, Matjaž Kovše and Aleksandra Tepeh ()
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Aleksandra Tepeh: University of Maribor, FEECS

Chapter Chapter 8 in Structural Analysis of Complex Networks, 2011, pp 197-218 from Springer

Abstract: 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.

Keywords: Geodetic number; Geodetic set; Cartesian product; Median graph; Boundary set (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4789-6_8

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DOI: 10.1007/978-0-8176-4789-6_8

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