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JGT
2007
73views more  JGT 2007»
13 years 7 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen
SIAMDM
2010
131views more  SIAMDM 2010»
13 years 2 months ago
On Optimal Strategies for a Hat Game on Graphs
The following problem was introduced by Marcin Krzywkowski as a generalization of a problem of Todd Ebert. After initially coordinating a strategy, n players each occupy a differe...
Uriel Feige
COMBINATORICA
2008
78views more  COMBINATORICA 2008»
13 years 7 months ago
Optimal strong parity edge-coloring of complete graphs
A parity walk in an edge-coloring of a graph is a walk along which each color is used an even number of times. Let p(G) be the least number of colors in an edge-coloring of G havi...
David P. Bunde, Kevin Milans, Douglas B. West, Heh...
CVPR
2010
IEEE
14 years 4 months ago
Beyond Trees: MRF Inference via Outer-Planar Decomposition
Maximum a posteriori (MAP) inference in Markov Random Fields (MRFs) is an NP-hard problem, and thus research has focussed on either finding efficiently solvable subclasses (e.g. t...
Dhruv Batra, Andrew Gallagher, Devi Parikh, Tsuhan...
GD
2006
Springer
13 years 11 months ago
Parameterized st -Orientations of Graphs: Algorithms and Experiments
st-orientations (st-numberings) or bipolar orientations of undirected graphs are central to many graph algorithms and applications. Several algorithms have been proposed in the pas...
Charalampos Papamanthou, Ioannis G. Tollis