Distinguishing chromatic numbers of bipartite graphs
The electronic journal of combinatorics, Tome 16 (2009) no. 1
Extending the work of K.L. Collins and A.N. Trenk, we characterize connected bipartite graphs with large distinguishing chromatic number. In particular, if $G$ is a connected bipartite graph with maximum degree $\Delta \geq 3$, then $\chi_D(G)\leq 2\Delta -2$ whenever $G\not\cong K_{\Delta-1,\Delta}$, $K_{\Delta,\Delta}$.
@article{10_37236_165,
author = {C. Laflamme and K. Seyffarth},
title = {Distinguishing chromatic numbers of bipartite graphs},
journal = {The electronic journal of combinatorics},
year = {2009},
volume = {16},
number = {1},
doi = {10.37236/165},
zbl = {1186.05054},
url = {http://geodesic.mathdoc.fr/articles/10.37236/165/}
}
C. Laflamme; K. Seyffarth. Distinguishing chromatic numbers of bipartite graphs. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/165
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