We give short proofs of theorems of Nash-Williams (on edge-partitioning a graph into acyclic subgraphs) and of Tutte (on edge-partitioning a graph into connected subgraphs). We also show that each theorem can be easily derived from the other.
Citation
S.Louis Hakimi , John Mitchem, Edward Schmeichel . Short Proofs of Theorems of Nash-Williams and Tutte[J], Ars Combinatoria, Volume 050. 257-266. .