Best and worst case permutations for random online domination of the path

We study a randomized algorithm for graph domination, by which, according to a uniformly chosen permutation, vertices are revealed and added to the dominating set if not already dominated. We determine the expected size of the dominating set produced by the algorithm for the path graph $P_n$ and use...

Full description

Bibliographic Details
Main Authors: Christopher Coscia, Jonathan DeWitt, Fan Yang, Yiguang Zhang
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2017-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3278/pdf