On the complexity of distributed graph coloring with local minimality constraints
✍ Scribed by Cyril Gavoille; Ralf Klasing; Adrian Kosowski; Łukasz Kuszner; Alfredo Navarra
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 135 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0028-3045
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In this paper, we investigate a probabilistic local majority polling game on weighted directed graphs, keeping an application to the distributed agreement problem in mind. We formulate the game as a Markov chain, where an absorbing state corresponds to a system configuration that an agreement is ach
## Abstract If \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$u : {\mathbb R}^{n}\supset \Omega \rightarrow {\mathbb R}^{M} $\end{document} locally minimizes the functional ∫~Ω~__h__(|∇__u__|) __dx__ with __h__ such that ${{h^{\prime }(t)}\over{t}} \le h^{\prime \prime