# Profiles

## Dr Magnus Bordewich, MMath DPhil PGCAP

**Senior Lecturer in the School of Engineering and Computing Sciences**

**Member of the Centre for Communications Systems**

(email at m.j.r.bordewich@durham.ac.uk)

### Biography

Personal webpage

I have been a lecturer in Computer Science at Durham University since January 2006. Prior to this I held posts as a post-doctoral fellow at the School of Computing, Leeds University and at the Department of Mathematics and Statistics at the University of Canterbury, New Zealand. My D.Phil. and undergraduate degree (MMath) were conducted at the Department of Mathematics, Oxford University.

### Indicators of Esteem

- 2015: Erskine Fellowship at University of Canterbury:
From January to April 2015 I held an Erskine Fellowship at the University of Canterbury, Christchurch, New Zealand. During this time I worked chiefly with Prof. Charles Semple on combinatorial problems in phylogenetics.

- 2010: 'Top cited article' award: I was awarded a “Top Cited Article 2005-2010” award from the journal Discrete Applied Mathematics, awarded by Elsevier in September 2010. Our article "Computing the minimum number of hybridization events for a consistent evolutionary history" is the 3rd most cited article published in the period 2005-2010, from a total of over 1000 (approx 270 per year), having already obtained over 65 citations listed on Google scholar.

### Research Interests

- Discrete mathematics, theoretical computer science and applications in phylogenetics.

### Selected Publications

#### Books: sections

**Bordewich, M.**& Kang, R. (2011). Rapid Mixing of Subset Glauber Dynamics on Graphs of Bounded Tree-Width. In__Automata, Languages and Programming__. Aceto, Luca, Henzinger, Monika & Sgall, J.**6755:**533.

#### Edited works: conference proceedings

**Bordewich, Magnus**& Mihaescu, Radu (2010).__Accuracy Guarantees for Phylogeny Reconstruction Algorithms Based on Balanced Minimum Evolution__. 10th Workshop on Algorithms in Bioinformatics (WABI 2010), Liverpool, Springer.**Bordewich, Magnus**(2010).__On the approximation complexity hierarchy__. 8th Workshop on Approximation and Online Algorithms (WAOA 2010), Liverpool, Springer.**Bordewich, M.**, Dyer, M. & Karpinski, M. (2006).__Stopping times, metrics and approximate counting__. 33rd International Colloquium of Automata, Languages and Programming (ICALP 2006), Venice, Italy, Springer.**Bordewich, M.**, Dyer, M. & Karpinski, M. (2005).__Path coupling using stopping times__. 15th International Symposium Fundamentals of Computation Theory FCT 2005, Lubeck, Germany, Springer.

#### Journal papers: academic

**Bordewich, Magnus**& Semple, Charles (Accepted). Reticulation-Visible Networks.*Advances in Applied Mathematics***Bordewich, Magnus**, Greenhill, Catherine & Patel, Viresh (2016). Mixing of the Glauber Dynamics for the Ferromagnetic Potts Model.*Random Structures & Algorithms***48**(1): 21-52.- Bordewich, M. & Semple, C. (2015). Defining a Phylogenetic Tree with the Minimum Number of r-State Characters.
*SIAM Journal on Discrete Mathematics***29**(2): 835-853. **Bordewich, M.**& Semple, C. (2015). Determining phylogenetic networks from inter-taxa distances.*Journal of Mathematical Biology***Bordewich, M.**& Mihaescu, R. (2013). Accuracy Guarantees for Phylogeny Reconstruction Algorithms Based on Balanced Minimum Evolution.*IEEE/ACM Transactions on Computational Biology and Bioinformatics***10**(3): 576-583.**Bordewich, M.**& Semple, C. (2012). Budgeted Nature Reserve Selection with diversity feature loss and arbitrary split systems.*Journal of Mathematical Biology***64**(1): 69-85.**White, Thomas A.**,**Bordewich, Magnus**& Searle, Jeremy B. (2010). A Network Approach to Study Karyotypic Evolution: The Chromosomal Races of the Common Shrew (Sorex araneus) and House Mouse (Mus musculus) as Model Systems.*Systematic Biology***59**(3): 262-276.**Bordewich, M.**, Gascuel, O., Huber, K. T. & Moulton, V. (2009). Consistency of Topological Moves Based on the Balanced Minimum Evolution Principle of Phylogenetic Inference.*Transactions on Computational Biology and Bioinformatics***6**(1): 110-117.**Bordewich, M.**, Semple, C. & Spillner, A. (2009). Optimizing phylogenetic diversity across two trees.*Applied Mathematics Letters***22**(5): 638-641.**Bordewich, M.**, McCartin, C. & Semple, C. (2008). A 3-approximation algorithm for the subtree distance between phylogenies.*Journal of Discrete Algorithms***6**(3): 458-471.**Bordewich, M.**& Semple, C. (2008). Nature Reserve Selection Problem: A Tight Approximation Algorithm.*Transactions on Computational Biology and Bioinformatics***5**(2): 275-280.**Bordewich, M.**, Karpinski, M. & Dyer, M. (2008). Path Coupling Using Stopping Times and Counting Independent Sets and Colourings in Hypergraphs.*Random Structures and Algorithms***32**(3): 375-399.**Bordewich, M.**, Rodrigo, A. G. & Semple, C. (2008). Selecting Taxa to Save or Sequence: Desirable Criteria and a Greedy Solution.*Systematic Biology***57**(6): 825-834.**Bordewich, M.**, Linz, S., St. John, K. & Semple, C. (2007). A Reduction Algorithm for Computing the Hybridization Number of Two Trees.*Evolutionary Bioinformatics***3**: 86-98.**Bordewich, M.**& Semple, C. (2007). Computing the hybridisation number of two phylogenetic trees is fixed parameter tractable.*Transactions on Computational Biology and Bioinformatics***4**(3): 458-466.**Bordewich, M.**& Semple, C. (2007). Computing the minimum number of hybridisation events for a consistent evolutionary history.*Discrete Applied Mathematics***155**(8): 914-928.**Bordewich, M.**, Evans, G. & Semple, C. (2007). Extending the limits of supertree methods.*Annals of Combinatorics***Bordewich, M.**& Dyer, M. (2007). Path Coupling without contraction.*Journal of Discrete Algorithms***5**(2): 280-292.**Bordewich, M.**, Semple, C. & Steel, M. A. (2006). Identifying X-Trees with Few Characters.*The Electronic Journal of Combinatorics***13**(1): R83.**Bordewich, M.**, Freedman, M., Lovasz, L. & Welsh, D. (2005). Approximate counting and quantum computation.*Combinatorics, probability and computing***14**(5-6): 737-754.**Bordewich, M.**, Huber, K. & Semple, C. (2005). Identifying phylogenetic trees.*Discrete Mathematics***300**(1-3): 30-43.**Bordewich, M.**& Semple, C. (2005). On the computational complexity of the rooted subtree prune and regraft distance.*Annals of combinatorics***8**(4): 409-423.**Bordewich, M.**(2004). Approximating the number of acyclic orientations for a class of sparse graphs.*Combinatorics, probability and computing***13**(1): 1-16.**Bordewich, M.**, Semple, C. & Talbot, J. (2004). Counting Consistent Phylogenetic Trees is #P-complete.*Advances in Applied Mathematics***33**(2): 416-430.

#### Journal papers: online

- Bordewich, M. & Kang, R. (2014). Subset Glauber Dynamics on Graphs, Hypergraphs and Matroids of Bounded Tree-Width.
*The Electronic Journal of Combinatorics***21**(4): 19.

#### Theses: PhD

**Bordewich, M.**(2003). The Complexity of Counting and Randomised Approximation.__Department of Mathematics__. New College, Oxford University.**PhD.**