A generalization of line graphs via link scheduling in wireless networks
Abstract
In single channel wireless networks, concurrent transmission at different links may interfere with each other. To improve system throughput, a scheduling algorithm is necessary to choose a subset of links at each time slot for data trasmission. Throughput optimal link scheduling discipline in such a wireless network is generally an NP-hard problem. In this paper, we develop a poylnomial time algorithm for link scheduling problem provided that network conflict graph is line multigraph. (i.e. line graph for which its root graph is multigraph). This result can be a guideline for network designers to plan the topology of a stationary wireless network such that the required conditions hold and then the throughput optimal algorithm can be run in a much less time.
Cite
@article{arxiv.1210.7467,
title = {A generalization of line graphs via link scheduling in wireless networks},
author = {Ali Ghiasian and Behnaz Omoomi and Hossein Saidi},
journal= {arXiv preprint arXiv:1210.7467},
year = {2012}
}