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DAM
2007
13 years 4 months ago
2007
In this paper, a structural theorem about toroidal graphs is given that strengthens a result of Borodin on plane graphs. As a consequence, it is proved that every toroidal graph w...
DM
2008
13 years 4 months ago
2008
SIAMDM
2008
13 years 4 months ago
2008
We introduce and study adapted list coloring of graphs and hypergraphs. This is a generalization of ordinary list coloring and adapted coloring, and has more applications than thes...
CORR
2008
Springer
13 years 4 months ago
2008
Springer
A solution to a problem of Erdos, Rubin and Taylor is obtained by showing that if a graph G is (a : b)-choosable, and c/d > a/b, then G is not necessarily (c : d)-choosable. Th...
JGT
2011
12 years 11 months ago
2011
A graph G = (V, E) is called (k, k )-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, an...