The shape of the reliability polynomial of a hammock network

L Dăuş, M Jianu - International Conference on Computers …, 2020 - Springer
Motivated by the study of hammock (aka brick-wall) networks, we introduce in this paper the
notion of X-path, which generates all possible connections through the network. The new …

Markov chain method for computing the reliability of hammock networks

M Jianu, D Ciuiu, L Dăuş, M Jianu - Probability in the Engineering …, 2022 - cambridge.org
In this paper, we develop a new method for evaluating the reliability polynomial of a
hammock network. The method is based on a homogeneous absorbing Markov chain and …

Perturbative methods for mostly monotonic probabilistic satisfiability problems

S Eubank, M Nath, Y Ren, A Adiga - arXiv preprint arXiv:2206.03550, 2022 - arxiv.org
The probabilistic satisfiability of a logical expression is a fundamental concept known as the
partition function in statistical physics and field theory, an evaluation of a related graph's …

Using network reliability to understand international food trade dynamics

M Nath, S Venkatramanan, B Kaperick… - Complex Networks and …, 2019 - Springer
Understanding the structural and dynamical properties of food networks is critical for food
security and social welfare. Here, we analyze international trade networks corresponding to …

Model selection for sequential designs in discrete finite systems using Bernstein kernels

M Nath, S Eubank - arXiv preprint arXiv:1807.06661, 2018 - arxiv.org
We view sequential design as a model selection problem to determine which new
observation is expected to be the most informative, given the existing set of observations …