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In order to improve transmission throughput of a multi-hop wireless network, many efforts have been made in recent years to reduce traffic and hence transmission collisions by constructing backbone networks with minimum size. However, many other important issues need to be considered. Instead of simply minimizing the number of backbone nodes or supporting some isolated network features, in this work, the authors exploit the use of algebraic connectivity to control backbone network topology design for concurrent improvement of backbone network robustness, capacity, stability and routing efficiency. In order to capture other network features, they also provide a general cost function and introduce a new metric, connectivity efficiency, to tradeoff algebraic connectivity and cost for backbone construction.
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