A systematic node placement strategy for multi-tier heterogeneous network graphs

The problem of connectivity in heterogeneous networks constitutes an important yet challenging topic in the literature of communication networks. A heterogeneous network contains nodes with different communication radii and degrees of connectivity. This paper addresses the problem of connectivity in multi-tier heterogeneous network graphs through systematic placement of advantaged nodes. The node placement method is based on a so-called hexagonal coordinate system (HCS) in which we develop an extended algebra. Relying on the HCS, we formulate and solve a class of geometric distance optimization problems aiming at guaranteeing the connectivity of a graph of multiple clusters of nodes. We show the effectiveness of our approach through experimental results in comparison with minimum spanning tree (MST) algorithms.

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