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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Derbel, B. Talbi, E. |
| Copyright Year | 2010 |
| Abstract | Given a palette $P$ of at most $\xi$ colors, and a parameter $d$, a $(d,\xi)$-coloring of a graph is an assignment of a color from the palette $P$ to every node in the graph such that any two nodes at distance at most $d$ have different colors. We prove that for every $n$-node unit disk graph with maximum degree $\Delta$, there exists a distributed algorithm computing a $(1,O(\Delta))$-coloring under the SINR (Signal-to-Interference-plus-Noise Ratio) physical model in at most $O(\Delta \log n)$ time slots, which is optimal up to a logarithmic factor. Our result is based on revisiting a previous coloring algorithm, due to T. Moscibroda and R. Wattenhofer, described in the so called graph-based model~\cite{MW08}. We also prove that, for a well defined constant $d$, a $(d, O(\Delta))$-coloring allows us to schedule an interference free TDMA-like MAC protocol under the physical SINR constraints. As a corollary, any uniform interference-free message passing algorithm with running time $\tau$ can be simulated in the SINR model in $O(\Delta (\log n + \tau))$ time slots. The latter generic result provides new insights into the distributed scheduling of radio network tasks under the harsh SINR constraints. |
| Starting Page | 708 |
| Ending Page | 717 |
| File Size | 372518 |
| Page Count | 10 |
| File Format | |
| ISBN | 9781424472611 |
| ISSN | 10636927 |
| e-ISBN | 9781424472628 |
| DOI | 10.1109/ICDCS.2010.35 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-06-21 |
| Publisher Place | Italy |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Signal to noise ratio Media Access Protocol Wireless sensor networks Distributed computing Color Interference constraints Radio network Access protocols Distributed algorithms Radio communication TDMA SINR Model Coloring Distributed Algorithm Time Complexity |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Networks and Communications Hardware and Architecture Software |
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