258 citations · 1.3k across the 58 of their papers we have counts for
4 papers · 1 filter
Rainbow Trees in Hypercubes
Nicholas Crawford, Maya Sankar, Carl Schildkraut +1
We prove that every proper edge-coloring of the -dimensional hypercube contains a rainbow copy of every tree on at most edges. This result is best possible, as $Q_…
Rational Exponents for General Graphs
Sean English, Sam Spiro
A rational number is a \textbf{realizable exponent} for a graph if there exists a finite family of graphs such that , whe…
Supersaturation of odd linear cycles
Lirong Deng, Jie Han, Jiaxi Nie +1
An -uniform linear cycle of length , denoted by , is an -graph with edges where $e_i=\{v_{(r-1)(i-1)},v_{(r-1)(i-1)+1},\dots…
Rainbow Erdős-Sós Conjectures
Nicholas Crawford, Dylan King, Sam Spiro
An edge colored graph is said to contain rainbow- if is a subgraph and every edge receives a different color. In 2007, Keevash, Mubayi, Sudakov, and Verstraëte introduced th…