Dense halves in balanced 2-partition of K4-free graphs

Yue Xu, Xiao-Dong Zhang

A balanced 2-partition of a graph is a bipartition $A,A^c$ of $V(G)$ such that $|A|=|A^c|$. Balogh, Clemen, and Lidický conjectured that for every $K_4$-free graph on $n$ (even) ve…