Prof Steven Noble
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Overview
Overview
Biography
I obtained my first degree in mathematics in 1993 from the University of Oxford, where I was a member of New College. I was fortunate enough to be able to continue studying in Oxford for a DPhil on the Complexity of Graph Polynomials under the supervision of Dominic Welsh which I completed in 1997. Between 1996 and 1998, I had part-time teaching appointments in Oxford at New College and then at Merton, covering for faculty who were on sabbatical. In October 1998 I was appointed as a lecturer at Brunel University and promoted to senior lecturer in 2010. From summer 2012 to summer 2015, I was head of department of mathematics at Brunel. During my time at Brunel I was admissions tutor and level one co-ordinator for several years. I moved to Birkbeck as Sundstrom Reader in Mathematics in 2016.
Qualifications
- BA Mathematics, University of Oxford, 1993
- DPhil Mathematics, University of Oxford, 1997
- Fellow of the Higher Education Academy, 2017
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Research
Research
Research overview
My research is in combinatorics, particularly graph polynomials, which is a very broad area of mathematics with many beautiful problems still to be solved. I have also been interested in computational complexity and the frequency assignment problem. More recently I have worked on delta-matroids.
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Supervision and teaching
Supervision and teaching
Supervision
Teaching
Teaching modules
- Problems in Mathematics (BUEM009S6)
- Numbers, Proofs and Counting (BUEM096S4)
- Algebra 2 (BUEM101S5)
- Finite Mathematics (BUEM105S6)
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Publications
Publications
Article
- Ellis-Monaghan, J. and Goodall, A. and Moffatt, I. and Noble, Steven and Vena, L. (2022) Irreducibility of the Tutte polynomial of an embedded graph. Algebraic Combinatorics 5 (6), pp. 1337-1351. ISSN 2589-5486.
- Moffatt, Iain and Noble, Steven (2021) Topological graph theory through matroid theory. Newsletter of the London Mathematical Society 496, pp. 29-33. ISSN 2516-3841.
- Edwards, K. and Noble, Steven (2019) The complexity of solution-free sets of integers for general linear equations. Discrete Applied Mathematics 270, pp. 115-133. ISSN 0166-218X.
- Bonin, J. and Chun, C. and Noble, Steven (2019) The excluded 3-minors for vf-safe delta-matroids. Advances in Applied Mathematics 126 (101909), ISSN 0196-8858.
- Bonin, J. and Chun, C. and Noble, Steven (2019) Delta-matroids as subsystems of sequences of Higgs lifts. Advances in Applied Mathematics 126 (101910), ISSN 0196-8858.
- Chun, C. and Moffatt, I. and Noble, Steven and Rueckriemen, R. (2019) Matroids, delta-matroids and embedded graphs. Journal of Combinatorial Theory, Series A 167, pp. 7-59. ISSN 0097-3165.
- Chun, C. and Chun, D. and Moss, T. and Noble, Steven (2018) The e-Exchange Basis Graph and Matroid connectedness. Discrete Mathematics 342 (3), pp. 723-725. ISSN 0012-365X.
- Chun, C. and Moffatt, I. and Noble, Steven and Rueckriemen, R. (2018) On the interplay between embedded graphs and delta-matroids. Proceedings of the London Mathematical Society 118 (3), pp. 675-700. ISSN 0024-6115.
- Chun, C. and Hall, R. and Merino, C. and Moffatt, I. and Noble, Steven (2018) The structure of delta-matroids with width one twists. Electronic Journal of Combinatorics 25 (1), ISSN 1077-8926.
- Funk, Daryl and Mayhew, Dillon and Noble, Steven (2017) How many delta-matroids are there?. European Journal of Combinatorics 69, pp. 149-158. ISSN 0195-6698.
- Chun, C. and Chun, D. and Noble, Steven (2017) Inductive tools for connected delta-matroids and multimatroids. European Journal of Combinatorics 63, pp. 59-69. ISSN 0195-6698.
- Goodall, A. and Hermann, M. and Kotek, T. and Makowsky, J.A. and Noble, Steven (2017) On the complexity of generalized chromatic polynomials. Advances in Applied Mathematics 94, pp. 71-102. ISSN 0196-8858.
- Chun, C. and Hall, R. and Merino, C. and Noble, Steven (2017) On zeros of the characteristic polynomial of matroids of bounded tree-width. European Journal of Combinatorics 60, pp. 10-20. ISSN 0195-6698.
- Noble, Steven and Royle, G.F. (2014) The Merino–Welsh conjecture holds for series–parallel graphs. European Journal of Combinatorics 38, pp. 24-35. ISSN 0195-6698.
- Merino, C. and Noble, Steven and Ramírez-Ibáñez, M. and Villarroel-Flores, R. (2012) On the structure of the h-vector of a paving matroid. European Journal of Combinatorics 33 (8), pp. 1787-1799. ISSN 0195-6698.
- Lin, Y. and Noble, Steven and Jin, X. and Cheng, W. (2012) On plane graphs with link component number equal to the nullity. Discrete Applied Mathematics 160 (9), pp. 1369-1375. ISSN 0166-218X.
- Eggemann, N. and Noble, Steven (2012) The complexity of two graph orientation problems. Discrete Applied Mathematics 160 (4-5), pp. 513-517. ISSN 0166-218X.
- Goodall, A.J. and de Mier, A. and Noble, Steven and Noy, M. (2011) The Tutte polynomial characterizes simple outerplanar graphs. Electronic Notes in Discrete Mathematics 38, pp. 639-644. ISSN 1571-0653.
- Noble, Steven and Hansen, P. and Mladenović, N. (2011) Maximizing edge-ratio is NP-complete. Discrete Applied Mathematics 159 (18), pp. 2276-2280. ISSN 0166-218X.
- Goodall, A.J. and de Mier, A. and Noble, Steven and Noy, M. (2011) The Tutte Polynomial characterizes simple outerplanar graphs. Combinatorics, Probability and Computing 20 (4), pp. 609-616. ISSN 0963-5483.
- Eggemann, N. and Noble, Steven (2011) The clustering coefficient of a scale-free random graph. Discrete Applied Mathematics 159 (10), pp. 953-965. ISSN 0166-218X.
- Chávez-Lomelí, L.E. and Merino, C. and Noble, Steven and Ramírez-Ibáñez, M. (2011) Some inequalities for the Tutte polynomial. European Journal of Combinatorics 32 (3), pp. 422-433. ISSN 0195-6698.
- Eggemann, N. and Havet, F. and Noble, Steven (2010) k-L(2,1)-labelling for planar graphs is NP-complete for k≥4. Discrete Applied Mathematics 158 (16), pp. 1777-1788. ISSN 0166-218X.
- Eggemann, N. and Noble, Steven (2009) Minimizing the Oriented Diameter of a Planar Graph. Electronic Notes in Discrete Mathematics 34, pp. 267-271. ISSN 1571-0653.
- Merino, C. and Noble, Steven (2009) The equivalence of Two Graph Polynomials and a Symmetric Function. Combinatorics, Probability and Computing 18 (4), pp. 601-615. ISSN 0963-5483.
- Noble, Steven (2009) Evaluating a Weighted Graph Polynomial for Graphs of Bounded Tree-Width. The Electronic Journal of Combinatorics 16 (1), pp. R64. ISSN 1077-8926.
- Noble, Steven (2006) Evaluating the rank generating function of a graphic 2-polymatroid. Combinatorics, Probability and Computing 15 (3), pp. 449-461. ISSN 0963-5483.
- Koller, A.E. and Noble, Steven (2004) Domination analysis of greedy heuristics for the frequency assignment problem. Discrete Mathematics 275 (1-3), pp. 331-338. ISSN 0012-365X.
- Krasikov, I. and Noble, Steven (2004) Finding next-to-shortest paths in a graph. Information Processing Letters 92 (3), pp. 117-119. ISSN 0020-0190.
- Leese, R.A. and Noble, Steven (2004) Cyclic labelling with constraints at two distances. The Electronic Journal of Combinatorics 11 (1), ISSN 1077-8926.
- Calkin, N. and Merino, C. and Noble, Steven and Noy, M. (2003) Improved bounds for the number of forests and acyclic orientations in the square lattice. The Electronic Journal of Combinatorics 10, ISSN 1077-8926.
- Noble, Steven and Welsh, D.J.A. (2000) Knot graphs. Journal of Graph Theory 34 (1), pp. 100-111. ISSN 0364-9024.
- Noble, Steven and Welsh, D.J.A. (1999) A weighted graph polynomial from chromatic invariants of knots. Annales de l'Institut Fourier 49 (3), pp. 1057-1087. ISSN 0373-0956.
- Noble, Steven (1998) Evaluating the Tutte polynomial for graphs of bounded tree-width. Combinatorics, Probability and Computing 7 (3), pp. 307-321. ISSN 0963-5483.
- Noble, Steven (1996) Recognising a partitionable simplicial complex is in NP. Discrete Mathematics 152 (1-3), pp. 303-305. ISSN 0012-365X.
Book Section
- Noble, Steven (2022) The U, V and W polynomials. In: Ellis-Monaghan, J.A. and Moffatt, I. (eds.) Handbook of the Tutte Polynomial and Related Topics. Chapman & Hall. ISBN 9781482240627.
- Noble, Steven (2007) Complexity of graph polynomials. In: McDiarmid, C.J.H. and Grimmett, G.R. (eds.) Combinatorics, Complexity and Chance: A Tribute to Dominic Welsh. Oxford, UK: Oxford University Press. ISBN 9780198571278.
- Noble, Steven (2007) Complexity of graph polynomials. In: Grimmett, G. and McDiarmid, C. (eds.) Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh. Oxford Academic. pp. 191-212. ISBN 9780198571278.
Monograph
- Knapp, C. and Noble, Steven (2022) The complexity of the Greedoid Tutte Polynomial. London, UK: Birkbeck, University of London.
- Ellis-Monaghan, Jo.A. and Goodall, A.J. and Moffatt, I. and Noble, Steven and Vena, L. (2021) Irreducibility of the Tutte polynomial of an embedded graph. London, UK: Birkbeck, University of London.
- Bonin, J.E. and Chun, C. and Noble, Steven (2018) Delta-matroids as subsystems of sequences of Higgs Lifts. London, UK: Birkbeck, University of London.
- Bonin, J.E. and Chun, C. and Noble, Steven (2018) The excluded 3-minors for Vf-safe Delta-matroids. London, UK: Birkbeck, University of London.
- Chun, C. and Hall, R. and Merino, C. and Moffatt, I. and Noble, Steven (2017) The structure of Delta-matroids with Width One Twists. London, UK: Birkbeck, University of London.
- Goodall, A. and Hermann, M. and Kotek, T. and Makowsky, J.A. and Noble, Steven (2017) On the complexity of Generalized Chromatic Polynomials. London, UK: Birkbeck, University of London.
- Funk, D. and Mayhew, D. and Noble, Steven (2016) How many delta-matroids are there?. London, UK: Birkbeck, University of London.
- Chun, C. and Hall, R. and Merino, C. and Noble, Steven (2016) On zeros of the characteristic polynomial of matroids of bounded tree-width. London, UK: Birkbeck, University of London.
- Chun, C. and Chun, D. and Noble, Steven (2016) Inductive tools for connected ribbon graphs, delta-matroids and multimatroids. London, UK: Birkbeck, University of London.
Other
- Noble, Steven (2017) C++ code referred to in Funk, Mayhew, Noble, "How many delta-matroids are there?".