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JCT
2008
68views more  JCT 2008»
14 years 11 months ago
An Ore-type theorem on equitable coloring
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...
Hal A. Kierstead, Alexandr V. Kostochka
CORR
2010
Springer
88views Education» more  CORR 2010»
14 years 11 months ago
A characterization of b-perfect graphs
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 ...
Chính T. Hoàng, Frédér...
DM
2010
131views more  DM 2010»
14 years 11 months ago
Planar graphs without adjacent cycles of length at most seven are 3-colorable
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...
Oleg V. Borodin, Mickaël Montassier, Andr&eac...
COLOGNETWENTE
2009
15 years 22 days ago
Colored Trees in Edge-Colored Graphs
We consider maximum properly edge-colored trees in edge-colored graphs Gc . We also consider the problem where, given a vertex r, determine whether the graph has a spanning tree r...
A. Abouelaoualim, V. Borozan, Yannis Manoussakis, ...
JGAA
1998
116views more  JGAA 1998»
14 years 11 months ago
New Lower Bounds For Orthogonal Drawings
An orthogonal drawing of a graph is an embedding of the graph in the two-dimensional grid such that edges are routed along grid-lines. In this paper we explore lower bounds for or...
Therese C. Biedl