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» Conditional colorings of graphs
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JGT
2008
69views more  JGT 2008»
15 years 6 months ago
List colorings with measurable sets
The measurable list chromatic number of a graph G is the smallest number such that if each vertex v of G is assigned a set L(v) of measure in a fixed atomless measure space, the...
Jan Hladký, Daniel Král, Jean-S&eacu...
DAM
2007
82views more  DAM 2007»
15 years 6 months ago
Every toroidal graph without adjacent triangles is (4, 1)*-choosable
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...
Baogang Xu, Haihui Zhang
STACS
2009
Springer
16 years 1 months ago
Hardness and Algorithms for Rainbow Connectivity
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connectivity of a connected graph G, denoted ...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...

Publication
207views
16 years 4 months ago
Incorporating Higher-Order Cues in Image Colorization
We consider the colorization problem of grayscale images when some pixels, called scribbles, with initial colors are given. In this paper, we propose a new multi-layer graph model ...
Tae Hoon Kim (Seoul National University), Kyoung M...
JGT
2010
79views more  JGT 2010»
15 years 4 months ago
Multi-coloring the Mycielskian of graphs
: A k-fold coloring of a graph is a function that assigns to each vertex a set of k colors, so that the color sets assigned to adjacent Contract grant sponsor: NSFC; Contract grant...
Wensong Lin, Daphne Der-Fen Liu, Xuding Zhu