1749 search results - page 9 / 350 » Conditional colorings of graphs |
SIROCCO
2007
13 years 8 months ago
2007
We present the first location oblivious distributed unit disk graph coloring algorithm having a provable performance ratio of three (i.e. the number of colors used by the algorit...
ALGORITHMICA
2008
13 years 7 months ago
2008
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
JCT
2008
13 years 7 months ago
2008
A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this note, we prove that if G is a graph such that for each edge xy E...
CORR
2010
Springer
13 years 7 months ago
2010
Springer
A b-coloring is a coloring of the vertices of a graph such that each color class contains a vertex that has a neighbor in all other color classes, and the b-chromatic number of a ...
DM
2010
13 years 7 months ago
2010
We prove that every planar graph in which no i-cycle is adjacent to a j-cycle whenever 3 i j 7 is 3-colorable and pose some related problems on the 3-colorability of planar grap...