Bell Numbers of Complete Multipartite Graphs

The {\it Stirling number} $S(G;k)$ is the number of partitions of the vertices of a graph $G$ into $k$ nonempty independent sets and the number of all partitions of $G$ is its {\it Bell number}, $B(G)$. We find $S(G;k)$ and $B(G)$ when $G$ is any complete multipartite graph, giving the upper bounds...

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Bibliographic Details
Main Authors: Julian Allagan, Christopher Serkan
Format: Article
Language:English
Published: Vladimir Andrunachievici Institute of Mathematics and Computer Science 2016-08-01
Series:Computer Science Journal of Moldova
Subjects:
Online Access:http://www.math.md/files/csjm/v24-n2/v24-n2-(pp234-242).pdf