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http://dx.doi.org/10.4134/JKMS.2004.41.5.921

THE EXPECTED INDEPENDENT DOMINATION NUMBER OF RANDOM DIRECTED ROOTED TREES  

Song, Jun-Ho (Department of Mathematics University of Seoul)
Lee, Chang-Woo (Department of Mathematics University of Seoul)
Publication Information
Journal of the Korean Mathematical Society / v.41, no.5, 2004 , pp. 921-931 More about this Journal
Abstract
We derive a formula for the expected value $\mu$(n) of the independent domination number of a random directed rooted tree with n labeled vertices and determine the asymptotic behavior of $\mu$(n) as n goes to infinity.
Keywords
independence number; domination number; independent domination number; random directed rooted tree; expected value;
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