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» Planarity, Colorability, and Minor Games
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SIAMDM
2008
89views more  SIAMDM 2008»
13 years 10 months ago
Planarity, Colorability, and Minor Games
Let m and b be positive integers and let F be a hypergraph. In an (m, b) Maker-Breaker game F two players, called Maker and Breaker, take turns selecting previously unclaimed vert...
Dan Hefetz, Michael Krivelevich, Milos Stojakovic,...
ICALP
2009
Springer
14 years 11 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
JGT
2008
103views more  JGT 2008»
13 years 11 months ago
Game coloring the Cartesian product of graphs
: This article proves the following result: Let G and G be graphs of orders n and n , respectively. Let G be obtained from G by adding to each vertex a set of n degree 1 neighbors....
Xuding Zhu
JGT
2006
98views more  JGT 2006»
13 years 11 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
ENDM
2011
227views Hardware» more  ENDM 2011»
12 years 10 months ago
Bichromatic Triangle Games
We study a combinatorial game called Bichromatic Triangle Game, defined as follows. Two players R and B construct a triangulation on a given planar point set V . Starting from no...
Gordana Manic, Daniel M. Martin, Milos Stojakovic