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Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83„ KomarovDD@gmail.comMinimaledgeextensionofgraphscanberegardedasamodelofoptimaledgefaulttolerantimplementationofasystem.Theproblemof nding the minimal edge extensions of an arbitrary graph is NP-complete, that’s why it is of interest to nd classes of graphs forwhich it is possible to build a minimal edge extension analytically. This paper is about of the one-edge extensions of a graphs froma special class named palm trees. In this paper presents a kind of one-edge extension for some palm trees and the proof that it isminimal.Key words: minimal extensions of graphs.

Minimal Edge Extensions of Palm Trees