Abstract
The anti-Ramsey number, AR(n, G), for a graph G and an integer (Formula presented.) , is defined to be the minimal integer r such that in any edge-colouring of (Formula presented.) by at least r colours there is a multicoloured copy of G, namely, a copy of G that each of its edges has a distinct colour. In this paper we determine, for large enough (Formula presented.) and (Formula presented.) for any large enough t and k, and a graph L satisfying some conditions. Consequently, we determine AR(n, G), for large enough n, where G is (Formula presented.) for any (Formula presented.) and (Formula presented.) for any (Formula presented.) for any (Formula presented.) for any (Formula presented.) , and (Formula presented.) for any (Formula presented.). Furthermore, we obtain upper and lower bounds for AR(n, G), for large enough n, where G is (Formula presented.) and (Formula presented.) for any (Formula presented.).
Original language | English |
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Pages (from-to) | 649-662 |
Number of pages | 14 |
Journal | Graphs and Combinatorics |
Volume | 32 |
Issue number | 2 |
DOIs | |
State | Published - 1 Mar 2016 |
Keywords
- Anti-Ramsey
- Multicoloured
- Rainbow
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics