An extremely simple distributed randomized algorithm is presented which with ## ลฝ . high probability properly edge colors a given graph using 1 q โฌ colors, where โฌ is the maximum degree of the graph and is any given positive constant. The algorithm is very ลฝ fast. In particular, for graphs with su
Coloring nearly-disjoint hypergraphs with n + o(n) colors
โ Scribed by Jeff Kahn
- Book ID
- 103507933
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 395 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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We show how the results of Karger, Motwani, and Sudan ( 1994) and Blum ( 1994) can be combined in a natural manner to yield a polynomial-time algorithm for d(n3"4 )-coloring any n-node 3-colorable graph. This improves on the previous best bound of 6(n'14) colors (Karger et al., 1994).
## Two-dimensional gauge theories with diagonal SU(N) color symmetry are analyzed in the limit of strong coupling using bosonization techniques. A spectrum of heavy mesons is found in addition to a spectrum of light baryon and baryonium states. Exotic behavior is also found for various values of t