4 papers
Ramsey properties for tilings in random graphs
Lucas Aragão, Xinbu Cheng, Rafael Filipe +3
Let be the graph formed by vertex-disjoint copies of a graph . Let denote that, in any -colouring of the edges of , there exists a monochromatic cop…
Separating path systems for cubic graphs and for complete bipartite graphs
Cristina Fernandes, Carlos Hoppen, George Kontogeorgiou +2
A strongly separating path system in a graph is a collection of paths in such that, for every two edges and of , there is a paths in …
Turán Number of Subdivisions of Multipartite Graphs
Xiao-Chuan Liu, Danni Peng, Xu Yang
In this paper, we investigate the Turán exponent for -subdivisions of graphs that are neither bipartite nor complete. Specifically, we establish an upper bound on the Turán nu…
Near rainbow Hamilton cycles in dense graphs
Danni Peng, Zhifei Yan
Finding near-rainbow Hamilton cycles in properly edge-coloured graphs was first studied by Andersen, who proved in 1989 that every proper edge colouring of the complete graph on $n…