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4 papers
BiRNe: Symbolic bifurcation analysis of reaction networks with Python
Richard Golnik, Thomas Gatter, Peter F. Stadler +1
Computer algebra methods for analyzing reaction networks often rely on the assumption of mass-action kinetics, which transform the governing ODEs into polynomial systems amenable t…
Enumeration of Autocatalytic Subsystems in Large Chemical Reaction Networks
Richard Golnik, Thomas Gatter, Peter F. Stadler +1
Autocatalysis is an important feature of metabolic networks, contributing crucially to the self-maintenance of organisms. Autocatalytic subsystems of chemical reaction networks (CR…
A Short Note on Relevant Cuts
Nico Domschke, Thomas Gatter, Richard Golnik +1
The set of relevant cuts in a graph is the union of all minimum weight bases of the cut space. A cut is relevant if and only if it is the a minimum weight cut between two distinct…
Convexity deficit of benzenoids
Nino Bašić, Sarah Berkemer, Jörg Fallmann +6
In 2012, a family of benzenoids was introduced by Cruz, Gutman, and Rada, which they called convex benzenoids. In this paper we introduce the convexity deficit, a new topological i…