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Title: Minimizing the oriented diameter of a planar graph
Authors: Eggemann, N
Noble, SD
Keywords: Diameter
Graph orientation
Graph minors
Planar graph
Publication Date: 2009
Publisher: Elsevier
Citation: Electronic Notes in Discrete Mathematics. 34: 267-271
Abstract: We consider the problem of minimizing the diameter of an orientation of a planar graph. A result of Chvátal and Thomassen shows that for general graphs, it is NP-complete to decide whether a graph can be oriented so that its diameter is at most two. In contrast to this, for each constant l, we describe an algorithm that decides if a planar graph G has an orientation with diameter at most l and runs in time O(c|V|), where c depends on l.
ISSN: 1571-0653
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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