Ore and Erdos type conditions for long cycles in balanced bipartite graphs
We conjecture Ore and Erdos type criteria for a balanced bipartite graph of order 2n to contain a long cycle C(2n-2k), where 0 <= k < n/2. For k = 0, these are the classical hamiltonicity criteria of Moon and Moser. The main two results of the paper assert that our conjectures hold for k = 1 as well.
long cycle cycle bipartite graph hamiltonicity degree sum