Article
Keywords:
packing; bipartite packing; embedding
Summary:
In considering packing three copies of a tree into a complete bipartite graph, H. Wang (2009) gives a conjecture: For each tree $T$ of order $n$ and each integer $k\geq 2$, there is a $k$-packing of $T$ in a complete bipartite graph $B_{n+k-1}$ whose order is $n+k-1$. We prove the conjecture is true for $k=4$.