An augmented graph-based coloring scheme to derive upper bounds for the performance of distributed schedulers in CSMA-based mbile ad hoc networks

Graph theory and its graph coloring schemes have been used as tools for deriving upper bounds for the performance of distributed schedulers in Mobile Ad Hoc Networks (MANET). In the context of Spatial-TDMA MANETs, studies have shown that such schemes can generate invalid schedules since they don't take into account the aggregate interference in the radio channel. Focusing on CSMA-based MANETs, such conclusions suggest that graph coloring schemes would generate too loose upper bounds. This paper proposes an augmented graph-based model that circumvents the problems highlighted in previous studies and is able to generate a tighter upper bound. We exemplify the use of the model by generating upper bounds for the performance of the distributed scheduler of 802.11b-based MANETs.

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