Proofs of two minimum circuit cover conjectures. Minimum cycle covers of graphs. Extensions of flow theorems. Partitioning a graph into two square-cycles. Circuit coverings of graphs and a conjecture of Pyber.
Path covers of weighted graphs.
The square of paths and cycles. The square of a Hamiltonian cycle. Fulkerson's conjecture and circuit covers. Short cycle covers of cubic graphs. Tutte's 3-flow conjecture and short cycle covers.