37 search results - page 5 / 8 » Randomly coloring planar graphs with fewer colors than the m... |
FOCS
2003
IEEE
14 years 29 days 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...
SIAMDM
2008
13 years 7 months ago
2008
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
WAOA
2005
Springer
14 years 1 months ago
2005
Springer
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
CORR
2010
Springer
13 years 6 months ago
2010
Springer
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
COCOON
2007
Springer
14 years 1 months ago
2007
Springer
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...