Let $F$ be a fixed graph. The rainbow Turán number of $F$ is defined as the maximum number of edges in a graph on $n$ vertices that has a proper edge-coloring with no rainbow copy of $F$ (i.e., a copy of $F$ all of whose edges have different colours). The systematic study of such problems was initiated by Keevash, Mubayi, Sudakov and Verstraëte. In this paper, we show that the rainbow Turán number of a path with $k+1$ edges is less than $\left(9k/7+2\right) n$, improving an earlier estimate of Johnston, Palmer and Sarkar.
@article{10_37236_7889,
author = {Beka Ergemlidze and Ervin Gy\H{o}ri and Abhishek Methuku},
title = {On the rainbow {Tur\'an} number of paths},
journal = {The electronic journal of combinatorics},
year = {2019},
volume = {26},
number = {1},
doi = {10.37236/7889},
zbl = {1406.05045},
url = {http://geodesic.mathdoc.fr/articles/10.37236/7889/}
}
TY - JOUR
AU - Beka Ergemlidze
AU - Ervin Győri
AU - Abhishek Methuku
TI - On the rainbow Turán number of paths
JO - The electronic journal of combinatorics
PY - 2019
VL - 26
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/7889/
DO - 10.37236/7889
ID - 10_37236_7889
ER -
%0 Journal Article
%A Beka Ergemlidze
%A Ervin Győri
%A Abhishek Methuku
%T On the rainbow Turán number of paths
%J The electronic journal of combinatorics
%D 2019
%V 26
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/7889/
%R 10.37236/7889
%F 10_37236_7889
Beka Ergemlidze; Ervin Győri; Abhishek Methuku. On the rainbow Turán number of paths. The electronic journal of combinatorics, Tome 26 (2019) no. 1. doi: 10.37236/7889
