About the Authors

David Reid

reidd@hope.ac.uk

Affiliations Department of Mathematics and Computer Science, Liverpool Hope University, Liverpool, United Kingdom, School of Computing and Mathematical Sciences Liverpool John Moores University Liverpool, United Kingdom

Abir Jaafar Hussain

Affiliations Department of Mathematics and Computer Science, Liverpool Hope University, Liverpool, United Kingdom, School of Computing and Mathematical Sciences Liverpool John Moores University Liverpool, United Kingdom

Hissam Tawfik

Affiliations Department of Mathematics and Computer Science, Liverpool Hope University, Liverpool, United Kingdom, School of Computing and Mathematical Sciences Liverpool John Moores University Liverpool, United Kingdom

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: DR AJH. Performed the experiments: DR AJH. Analyzed the data: DR AJH HT. Contributed reagents/materials/analysis tools: DR AJH HT. Wrote the paper: DR AJH HT.