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I am a Senior Lecturer and coach in LSBU Business School. I am a Fellow of the Higher Education Academy and am on the University's Academic Board. I did my PhD in Pure Mathematics at Queen Mary, University of London and I carry out research in Combinatorial Optimisation.
My research is in Combinatorics - Matroid, Graph and Design Theory. I have one PhD student.
I am also Principal of LSBU Business School, Croydon campus, and am passionate about fostering relationships and collaboration amongst local businesses, students and academics.
Postgraduate Research Supervision
Awarded in the last 5 years
Mr Mohamed Mehbali | Solution Approaches to the Three-index Assignment Problem | PhD |
University of London
London Metropolitan University (part time)
Teaching and Research
Generalized pentagonal geometries
Forbes, A. and Rutherford, C. G. (2021). Generalized pentagonal geometries. Journal of Combinatorial Designs. https://doi.org/10.1002/jcd.21811
Pancyclicity when each cycle must pass exactly k Hamilton cycle chords.
Chaouche, FA, Rutherford, CG and Whitty, R (2015). Pancyclicity when each cycle must pass exactly k Hamilton cycle chords. Discussiones Mathematicae Graph Theory. 35 (3), pp. 533-539. https://doi.org/10.7151/dmgt.1818
Some results on the structure and spectra of matrix-products
Banaji, M. and Rutherford, C. G. (2015). Some results on the structure and spectra of matrix-products. Linear Algebra and Its Applications. 474, pp. 192-212. https://doi.org/10.1016/j.laa.2015.02.008
P-matrices and signed digraphs
Banaji, M and Rutherford, CG (2010). P-matrices and signed digraphs. Discrete Mathematics. 311 (4), pp. 295-301. https://doi.org/10.1016/j.disc.2010.10.018
Covering radii are not matroid invariants
Britz, T. and Rutherford, C. (2005). Covering radii are not matroid invariants. 296 (1), pp. 117-120. https://doi.org/10.1016/j.disc.2005.03.002
Objective functions with redundant domains
Affif Chaouche, F., Rutherford, C. and Whitty, R. (2012). Objective functions with redundant domains. Journal of Combinatorial Optimization. 26, pp. 372-384. https://doi.org/10.1007/s10878-012-9468-9