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Research Paper | Mathematics | India | Volume 7 Issue 11, November 2018

An Application of Zero Forcing using Power Propagation Time

Dr. S. Chandrasekaran ^[10] | A. Sulthana ^[3]

Abstract: Zero forcing and power domination are iterative processes on graphs where an initial set of vertices are observed The K-zero forcing number of a graph G is the minimum cardinality of a K- zero forcing set of G. In this paper we determine the K-zero forcing number of CSK- pyramid networks denoted by CSKP_ ( (C, L)), for all positive values of k except for k = C 1, C 2, for which we give an upper bound. The kpropagation radius of a graph G is the minimum number of propagation steps needed to monitor the graph G over all minimum k-PDS. We give a relationship between the k-forcing and the k-power domination numbers of a graph that bounds one in terms of the other

Keywords: zero forcing, propagation time, CSK-pyramid, power domination

Edition: Volume 7 Issue 11, November 2018,

Pages: 915 - 917