Connectivity in Multi-interface Networks
- 177 Downloads
Let G = (V,E) be a graph which models a set of wireless devices (nodes V) that can communicate by means of multiple radio interfaces, according to proximity and common interfaces (edges E). In general, every node holds a subset of all the possible k interfaces. Such networks are known as multi-interface networks. In this setting, we study a basic problem called Connectivity, corresponding to the well-known Minimum Spanning Tree problem in graph theory. In practice, we need to cover a subgraph of G of minimum cost which contains a spanning tree of G. A connection is covered (activated) when the endpoints of the corresponding edge share at least one active interface.
The connectivity problem turns out to be APX-hard in general and for many restricted graph classes, however it is possible to provide approximation algorithms: 2-approximation in general and \((2-\frac 1 k)\)-approximation for unit cost interfaces. We also consider the problem in special graph classes, such as graphs of bounded degree, planar graphs, graphs of bounded treewidth, complete graphs.
KeywordsEnergy saving wireless network multi-interface network approximation algorithm
Unable to display preview. Download preview PDF.
- 2.Draves, R., Padhye, J., Zill, B.: Routing in multi-radio, multi-hop wireless mesh networks. In: Proceedings of the 10th annual international conference on Mobile computing and networking (MobiCom), pp. 114–128. ACM, New York (2004)Google Scholar
- 3.Cavalcanti, D., Gossain, H., Agrawal, D.: Connectivity in multi-radio, multi-channel heterogeneous ad hoc networks. In: Proceedings of the IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), pp. 1322–1326. IEEE, Los Alamitos (2005)Google Scholar
- 4.Faragó, A., Basagni, S.: The effect of multi-radio nodes on network connectivity—a graph theoretic analysis. In: Proceedings of the IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC). IEEE, Los Alamitos (to appear) (2008)Google Scholar
- 5.Caporuscio, M., Charlet, D., Issarny, V., Navarra, A.: Energetic Performance of Service-oriented Multi-radio Networks: Issues and Perspectives. In: Proceedings of the 6th International Workshop on Software and Performance (WOSP), pp. 42–45. ACM Press, New York (2007)Google Scholar
- 7.Klasing, R., Kosowski, A., Navarra, A.: Cost minimisation in wireless networks with bounded and unbounded number of interfaces. To appear in NetworksGoogle Scholar