Abstract: General technical problems of obtaining coefficients of reliability polynomials for different reliability indices, such as all-terminal reliability, average pairwise reliability and average size of a connected sub-graph containing a special node are discussed in the paper. It is shown that one of possible forms of a reliability polynomial presentation helps in considerable speeding up of its obtaining by using an intentional meaning of coefficients. Procedure of calculations in this case can be reduced to summarizing parts of vectors of binomial coefficients.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Alexey S. Rodionov, Olga Rodionova, "Practical Notes on Obtaining Reliability Polynomials," WSEAS Transactions on Mathematics, vol. 15, pp. 450-461, 2016, DOI:
Alexey S. Rodionov, Olga Rodionova. Practical Notes on Obtaining Reliability Polynomials.
WSEAS Transactions on Mathematics. 2016;15:450-461.