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09/20/2023
Robert's theorem and graphs on complete lattices
Automata networks, and in particular Boolean networks, are used to model...
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07/11/2023
Words fixing the kernel network and maximum independent sets in graphs
The simple greedy algorithm to find a maximal independent set of a graph...
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02/22/2023
Graphs with minimum fractional domatic number
The domatic number of a graph is the maximum number of vertex disjoint d...
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10/28/2022
The MacWilliams Identity for the Skew Rank Metric
The weight distribution of an error correcting code is a crucial statist...
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10/20/2022
Factorisation in the semiring of finite dynamical systems
Finite dynamical systems (FDSs) are commonly used to model systems with ...
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12/16/2021
Bent Functions in the Partial Spread Class Generated by Linear Recurring Sequences
We present a construction of partial spread bent functions using subspac...
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08/31/2021
Graphs with minimum degree-based entropy
The degree-based entropy of a graph is defined as the Shannon entropy ba...
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06/24/2021
The maximum discrete surface-to-volume ratio of space-filling curve partitions
Space-filling curves (SFCs) are used in high performance computing to di...
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04/21/2020
Commutative automata networks
Automata networks are mappings of the form f : Q Z → Q Z , where Q is a ...
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04/15/2020
Latin Hypercubes and Cellular Automata
Latin squares and hypercubes are combinatorial designs with several appl...
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01/24/2020
On simulation in automata networks
An automata network is a finite graph where each node holds a state from...
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01/24/2020
Simulation of automata networks
An automata network is a finite graph where each node holds a state from...
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01/17/2020
Grover's Algorithm and Many-Valued Quantum Logic
As the engineering endeavour to realise quantum computers progresses, we...
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07/30/2019
Linear Programming complementation and its application to fractional graph theory
In this paper, we introduce a new kind of duality for Linear Programming...
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06/19/2019
Mutually Orthogonal Latin Squares based on Cellular Automata
We investigate sets of Mutually Orthogonal Latin Squares (MOLS) generate...
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02/21/2019
Expansive Automata Networks
An Automata Network is a map f:Q^n→ Q^n where Q is a finite alphabet. It...
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05/30/2018
On the influence of the interaction graph on a finite dynamical system
A finite dynamical system (FDS) is a system of multivariate functions ov...
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04/05/2018
On fixable families of Boolean networks
The asynchronous dynamics associated with a Boolean network f : {0,1}^n ...
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02/06/2018