Network reliability and algebraic structures
Network reliability and algebraic structures
Optimal reduction of two-terminal directed acyclic graphs
SIAM Journal on Computing
The Combinatorics of Network Reliability
The Combinatorics of Network Reliability
A new algorithm for the recognition of series parallel graphs
A new algorithm for the recognition of series parallel graphs
On algebraic expressions of series-parallel and Fibonacci graphs
DMTCS'03 Proceedings of the 4th international conference on Discrete mathematics and theoretical computer science
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We consider a two-terminal directed acyclic graph (st-dag ) characterized by a special structure of its mincuts and call it a nested graph . This graph is of interest as an st-dag with a minimum possible number of mincuts.We present a linear-time algorithm for recognizing nested graphs.