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Title:Geodetic sets in graphs
Authors:Brešar, Boštjan (Author)
Kovše, Matjaž (Author)
Tepeh, Aleksandra (Author)
Files:URL http://dx.doi.org/10.1007/978-0-8176-4789-6_8
 
Language:English
Work type:Not categorized (r6)
Typology:1.16 - Independent Scientific Component Part or a Chapter in a Monograph
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Na kratko so povzeti rezultati o geodetskih množicah v grafih. Po pregledu rezultatov iz prejšnjih raziskav se posvetimo geodetskemu številu in sorodnim invariantam v grafih. Podrobno so obravnavane geodetske množice kartezičnih produktov grafov in geodetske množice v medianskih grafih. Predstavljen je tudi algoritmični vidik in povezava z nekaterimi ostalimi koncepti iz teorije konveksnih in intervalskih struktur v grafih.
Keywords:matematika, teorija grafov, geodetsko število, geodetska množica, kartezični produkt, medianski graf, mejna množica, mathematics, graph theory, geodetic number, geodetic set, Cartesian product, median graph, boundary set
Year of publishing:2011
Number of pages:Str. 197-218
UDC:519.17
COBISS_ID:15720793 Link is opened in a new window
NUK URN:URN:SI:UM:DK:BMGXOHST
Views:223
Downloads:14
Metadata:XML RDF-CHPDL DC-XML DC-RDF
Categories:Misc.
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Secondary language

Language:Unknown
Title:Geodetske množice v grafih
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.


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