Anti-Ramsey numbers for graphs with independent cycles
The electronic journal of combinatorics, Tome 16 (2009) no. 1
An edge-colored graph is called rainbow if all the colors on its edges are distinct. Let ${\cal G}$ be a family of graphs. The anti-Ramsey number $AR(n,{\cal G})$ for ${\cal G}$, introduced by Erdős et al., is the maximum number of colors in an edge coloring of $K_n$ that has no rainbow copy of any graph in ${\cal G}$. In this paper, we determine the anti-Ramsey number $AR(n,\Omega_2)$, where $\Omega_2$ denotes the family of graphs that contain two independent cycles.
DOI :
10.37236/174
Classification :
05C15, 05C38, 05C55
Mots-clés : rainbow graphs, anti Ramsey number, two independent cycles
Mots-clés : rainbow graphs, anti Ramsey number, two independent cycles
@article{10_37236_174,
author = {Zemin Jin and Xueliang Li},
title = {Anti-Ramsey numbers for graphs with independent cycles},
journal = {The electronic journal of combinatorics},
year = {2009},
volume = {16},
number = {1},
doi = {10.37236/174},
zbl = {1186.05052},
url = {http://geodesic.mathdoc.fr/articles/10.37236/174/}
}
Zemin Jin; Xueliang Li. Anti-Ramsey numbers for graphs with independent cycles. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/174
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