Three indians' algorithm: Difference between revisions
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'''Abstract view:''' | '''Abstract view:''' | ||
The flow is | The flow is initialized to be feasible, for example, the zero flow. | ||
'''Proof:''' | '''Proof:''' | ||
Revision as of 21:08, 19 October 2014
General information
Algorithmic problem: Blocking flow.
Type of algorithm: loop.
Abstract view
Invariant: The current flow is feasible.
Variant: The number of nodes strictly decreases.
Induction basis
Abstract view: The flow is initialized to be feasible, for example, the zero flow.
Proof: Obvious.
Induction step
Remarks
- The algorithm is named after three indian researchers, V. M. Malhotra, M. Pramodh Kumar, and S. N. Mahashwari.
- Of course, the nodes need not really be removed from the graph. However, "removed" nodes must be hidden from the algorithm to ensure the asymptotic complexity; a Boolean lable "is removed" does not suffice for that.