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» The Distinguishing Chromatic Number
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DM
1998
69views more  DM 1998»
13 years 7 months ago
A study of the total chromatic number of equibipartite graphs
The total chromatic number zt(G) of a graph G is the least number of colors needed to color the vertices and edges of G so that no adjacent vertices or edges receive the same colo...
Bor-Liang Chen, Chun-Kan Cheng, Hung-Lin Fu, Kuo-C...
GD
2005
Springer
14 years 27 days ago
Bar k-Visibility Graphs: Bounds on the Number of Edges, Chromatic Number, and Thickness
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one co...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
JGT
2010
108views more  JGT 2010»
13 years 5 months ago
Hadwiger number and chromatic number for near regular degree sequences
: We consider a problem related to Hadwiger’s Conjecture. Let
Neil Robertson, Zi-Xia Song
DM
2006
79views more  DM 2006»
13 years 7 months ago
Conditional colorings of graphs
For an integer r > 0, a conditional (k, r)-coloring of a graph G is a proper k-coloring of the vertices of G such that every vertex of degree at least r in G will be adjacent t...
Hong-Jian Lai, Jianliang Lin, Bruce Montgomery, Ta...