Abstract
The problem of finding disjoint paths in a network is a fundamental problem with numerous applications. Two paths in a network are said to be (node) disjoint if they do not share any nodes except for the endpoints. The two node disjoint paths problem is to find two node-disjoint paths in G = (V ,E ) from source s *** V to the target t *** V . The two-node-disjoint paths problem is a fundamental problem with several applications in diverse areas including VLSI layout, reliable network routing, secure message transmission, and network survivability. The two node disjoint path problem is fundamental, extensively studied in graph theory.
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