Abstract: This paper is devoted to calculations of connectivity probabilities and distributions of connectivity com- ponents numbers in planar and recursively defined and parallel-sequential random graphs. These calculations are based on asymptotic formulas for connectivity probabilities and on recurrent relations for different deterministic and stochastic characteristics of random graphs and on limit theorems for Markov chains with finite state set. Main aim of these paper is to decrease calculational complexity of considered problems solutions.
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.
Gurami Tsitsiashvili, Marina Osipova, "New Asymptotic and Algorithmic Results in Calculation of Random Graphs Connectivity," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Gurami Tsitsiashvili, Marina Osipova. New Asymptotic and Algorithmic Results in Calculation of Random Graphs Connectivity.
WSEAS Transactions on Mathematics. 2012;11:-.