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SIAMDM
2008
154views more  SIAMDM 2008»
13 years 7 months ago
On the First-Fit Chromatic Number of Graphs
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...
József Balogh, Stephen G. Hartke, Qi Liu, G...
RSA
2008
123views more  RSA 2008»
13 years 7 months ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
ICIP
2009
IEEE
14 years 6 months ago
Edge-preserving Colorization using Data-Driven Random Walks with Restart
In this paper, we consider the colorization problem of grayscale images in which some color scribbles are initially given. Our proposed method is based on the weighted color blendi...
Tae Hoon Kim (Seoul National University), Kyoung M...
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
13 years 11 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
14 years 1 months ago
On the Minimum Load Coloring Problem
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...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...