Professor Magnus Bordewich's Outputs (4)

Approximate counting and quantum computation (2005)
Journal Article
Bordewich, M., Freedman, M., Lovasz, L., & Welsh, D. (2005). Approximate counting and quantum computation. Combinatorics, Probability and Computing, 14(5-6), 737-754. https://doi.org/10.1017/s0963548305007005

Motivated by the result that an `approximate' evaluation of the Jones polynomial of a braid at a $5^{th}$ root of unity can be used to simulate the quantum part of any algorithm in the quantum complexity class BQP, and results relating BQP to the cou... Read More about Approximate counting and quantum computation.

Identifying phylogenetic trees (2005)
Journal Article
Bordewich, M., Huber, K., & Semple, C. (2005). Identifying phylogenetic trees. Discrete Mathematics, 300(1-3), 30-43. https://doi.org/10.1016/j.disc.2005.06.015

A central problem that arises in evolutionary biology is that of displaying partitions of subsets of a finite set X on a tree whose vertices are partially labelled with the elements of X. Such a tree is called an X-tree and, for a collection C of par... Read More about Identifying phylogenetic trees.

Path coupling using stopping times (2005)
Presentation / Conference Contribution
Bordewich, M., Dyer, M., & Karpinski, M. (2005, August). Path coupling using stopping times. Presented at 15th International Symposium Fundamentals of Computation Theory : FCT 2005., Lubeck, Germany

We analyse the mixing time of Markov chains using path coupling with stopping times. We apply this approach to two hypergraph problems. We show that the Glauber dynamics for independent sets in a hypergraph mixes rapidly as long as the maximum degree... Read More about Path coupling using stopping times.

On the computational complexity of the rooted subtree prune and regraft distance (2005)
Journal Article
Bordewich, M., & Semple, C. (2005). On the computational complexity of the rooted subtree prune and regraft distance. Annals of Combinatorics, 8(4), 409-423. https://doi.org/10.1007/s00026-004-0229-z

The graph-theoretic operation of rooted subtree prune and regraft is increasingly being used as a tool for understanding and modelling reticulation events in evolutionary biology. In this paper, we show that computing the rooted subtree prune and reg... Read More about On the computational complexity of the rooted subtree prune and regraft distance.