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Petra. A survey on known upper bounds for multichromatic number for hexagonal graphs Abstract\begin{abstract} An optimization problem in the designof cellular networks is to assign sets of frequencies to transmittersto avoid unacceptable interference. Frequency assignment problem can beabstracted as a multicoloring problem on a weighted subgraph of the infinite triangularlattice, called hexagonal graph. In this paper a survey of known upperbounds for multichromatic number $\chi_{m}(G)$ in terms of weighted cliquenumber $\omega_{m}(G)$ for hexagonal graphs and some open problemsare presented. \end{abstract}
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