English

The shape of the reliability polynomial of a hammock network

Combinatorics 2021-05-17 v1

Abstract

Motivated by the study of hammock (aka brick-wall) networks, we introduce in this paper the notion of X-path. Using the Jordan Curve Theorem for piecewise smooth curves, we prove duality properties for hammock networks. Consequences for reliability polynomials are given.

Keywords

Cite

@article{arxiv.1901.04036,
  title  = {The shape of the reliability polynomial of a hammock network},
  author = {Leonard Dăuş and Marilena Jianu},
  journal= {arXiv preprint arXiv:1901.04036},
  year   = {2021}
}

Comments

13 pages, 10 figures