Almost all k-colorable graphs are easy to color
β Scribed by Jonathan S Turner
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 972 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., GΓ°n; p ΒΌ d=nΓ; are 3-colorable and that a constant fraction of all 4-regular graphs are 3-colorable.
Consider any 6197 or fewer points in the plane, and create a graph with this vertex set by considering a pair of those points to be adjacent if and only if their distance is exactly 1. It is shown that the vertices of the resulting graph can be properly 6-colored. 1998 Academic Press Consider R 2 =
I am grateful to the commentators for bringing up two fundamental questions that are in fact related. Takagi and Kaneko look into a concrete molecular mechanism that could lead to the emergence of the genetic code [1], while Wallace takes the rate-distortion paradigm to the realm of proteins and ask