activity
20062022
most citedThe shape of the reliability polynomial of a hammock network

12 citations · 21 across the 6 of their papers we have counts for

collaborators

6 papers

cs.DM2022★ 2 cited

Consecutive k-out-of-n:F Systems Have Unbounded Roots

Marilena Jianu, Leonard Daus, Vlad-Florin Dragoi +1

This article is studying the roots of the reliability polynomials of linear consecutive-\textit{k}-out-of-\textit{n}:\textit{F} systems. We are able to prove that these roots are u…

math.CO2019★ 12 cited

The shape of the reliability polynomial of a hammock network

Leonard Dăuş, Marilena Jianu

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 d…

math.CO2018★ 7 cited

Brick-wall lattice paths and applications

Leonard Daus, Valeriu Beiu, Simon Cowell +1

We introduce a new type of lattice path, called brick-wall lattice path, and we derive a formula which counts the number of paths on these lattices imposing certain restrictions on…

math.QA2015

A new way to iterate Brzeziński crossed products

Leonard Dăuş, Florin Panaite

If and are two Brzeziński crossed products and is a linear map satisfying certain properties, we constr…

math.RA2008

Relative regular modules. Applications to von Neumann regular rings

Leonard Daus

We use the concept of a regular object with respect to another object in an arbitrary category, defined in \cite{dntd}, in order to obtain the transfer of regularity in the sense o…

math.CT2006

Relative Regular Objects in Categories

S. S. Dăscălescu, C. Năstăsescu, A. Tudorache +1

We define the concept of a regular object with respect to another object in an arbitrary category. We present basic properties of regular objects and we study this concept in the s…