75 search results - page 8 / 15 » Randomly Coloring Constant Degree Graphs |
RSA
2011
14 years 4 months ago
2011
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
RSA
2006
14 years 9 months ago
2006
In this paper, we prove that there exists a function k = (4 + o(1))k such that G(n, /n) contains a k-regular graph with high probability whenever > k. In the case of k = 3, it...
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ESA
2006
Springer
15 years 1 months ago
2006
Springer
A coloring is proper if each color class induces connected components of order one (where the order of a graph is its number of vertices). Here we study relaxations of proper two-c...
FOCS
2003
IEEE
15 years 2 months ago
2003
IEEE
We study a simple Markov chain, known as the Glauber dynamics, for randomly sampling (proper) k-colorings of an input graph G on n vertices with maximum degree ∆ and girth g. We...
CORR
2010
Springer
14 years 9 months ago
2010
Springer
Abstract. We present the discrete beeping communication model, which assumes nodes have minimal knowledge about their environment and severely limited communication capabilities. S...