A new algorithm to compute vertex cutsets in a graph

Abstract A new efficient algorithm has been presented in this paper to compute all the vertex cutsets between two specified vertices in a given symmetric graph. The algorithm has been developed into two distinct phases, i.e. in the first phase all the proper flow paths between the two specified vertices are generated, and in the second phase the vertex cutsets are determined from the information of the proper flow paths. The proposed algorithm seems to be economical in terms of computation time and it offers easy programmability on a digital computer.

[1]  S. R. Das,et al.  An Approach for Simplifying Switching Functions by Utilizing the Cover Table Representation , 1971, IEEE Transactions on Computers.

[2]  G. Chartrand.  A Graph-Theoretic Approach to a Communications Problem , 1966 .

[3]  Narsingh Deo,et al.  Graph Theory with Applications to Engineering and Computer Science , 1975, Networks.

[4]  Insley B. Pyne,et al.  The Reduction of Redundancy in Solving Prime Implicant Tables , 1962, IRE Trans. Electron. Comput..

[5]  A. K. Choudhury,et al.  Some Studies on Connected Cover Term Matrices of Switching Functions , 1965 .

[6]  P. Srimani,et al.  Generation of directed circuits in a directed graph , 1979, Proceedings of the IEEE.

[7]  Robert T. Chien,et al.  Synthesis of a Communication Net , 1960, IBM J. Res. Dev..

[8]  Frank Harary,et al.  Graph Theory , 2016 .

[9]  A. C. Nelson,et al.  A Computer Program for Approximating System Reliability , 1970 .

[10]  Necessary and Sufficient Conditions for Realizability of Vertex-Weighted Communication Nets , 1969 .

[11]  I. Frisch,et al.  Algorithms to Realize Directed Communication Nets , 1967, IEEE Transactions on Circuit Theory.

[12]  On the Analysis of Weighted Communication Nets , 1969 .

[13]  B. R. Myers,et al.  Proper flow paths in vertex-weighted communication nets , 1968 .

[14]  Alberto Martelli.  A Gaussian Elimination Algorithm for the Enumeration of Cut Sets in a Graph , 1976, JACM.

[15]  Paul A. Jensen,et al.  An Algorithm to Determine the Reliability of a Complex System , 1969 .