Sciweavers

Share
COMBINATORICS
2006

On Computing the Distinguishing Numbers of Trees and Forests

9 years 1 months ago
On Computing the Distinguishing Numbers of Trees and Forests
Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum number of labels needed so that G has a distinguishing labeling. In this paper, we present O(n log n)-time algorithms that compute the distinguishing numbers of trees and forests. Unlike most of the previous work in this area, our algorithm relies on the combinatorial properties of trees rather than their automorphism groups to compute for their distinguishing numbers.
Christine T. Cheng
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where COMBINATORICS
Authors Christine T. Cheng
Comments (0)
books