Packing Chromatic Number of Benes Network
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Keywords:
Packing coloring, benes network, interconnection networkAbstract
The packing chromatic number $\chi_{\rho}(G)$ of a graph $G$ is the smallest integer $k$ for which there exists a mapping $f:V(G)\longrightarrow \{1,2,...,k\}$ such that any two vertices of color $i$ are at distance at least $i+1$. In this paper, the packing chromatic number of benes network is obtained.
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