Open Access Short Communications

Optimal Blocking of Undesired Nodes in Digraph

Tsitsiashvili Gurami*

Institute for Applied Mathematics FEB RAS, Russia

Corresponding Author

Received Date: April 14, 2020;  Published Date: May 18, 2020

Abstract

This paper provides a complete solution to the problem of minimizing the number of edges in the protein network, the removal of which blocks all paths that pass through a set of undesirable nodes. The minimization problem is reduced to the problem of minimum cut and maximum flow in a specially constructed weighted digraph with a source and a drain.

Keywords: Digraph;Ford-Fulkerson Theorem;Sub-graph; Optimal Blocking.

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