Monoid Growth Functions for Braid Groups. - Marcus Brazil (Int. J. Algebra Comput., 1991)

Minimal Steiner Trees for 2k×2k Square Lattices. - Marcus Brazil; T. Cole; J. Hyam Rubinstein; Doreen A. Thomas; Jia F. Weng; Nicholas C. Wormald (J. Comb. Theory A, 1996)

Shortest networks on spheres. - Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas; Jia F. Weng; Nicholas C. Wormald (Network Design: Connectivity and Facilities Location, 1997)

Gradient-constrained minimal Steiner trees. - Marcus Brazil; Doreen A. Thomas; Jia F. Weng (Network Design: Connectivity and Facilities Location, 1997)

Minimal Steiner Trees for Rectangular Arrays of Lattice Points. - Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas; Jia F. Weng; Nicholas C. Wormald (J. Comb. Theory A, 1997)

Full Minimal Steiner Trees on Lattice Sets. - Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas; Jia F. Weng; Nicholas C. Wormald (J. Comb. Theory A, 1997)

A polynomial time algorithm for rectilinear Steiner trees with terminals constrained to curves. - Marcus Brazil; Doreen A. Thomas; Jia F. Weng (Networks, 1999)

On the Complexity of the Steiner Problem. - Marcus Brazil; Doreen A. Thomas; Jia F. Weng (J. Comb. Optim., 2000)

Minimum Networks in Uniform Orientation Metrics. - Marcus Brazil; Doreen A. Thomas; Jia F. Weng (SIAM J. Comput., 2000)

Gradient-constrained minimum networks. I. Fundamentals. - Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas; Jia F. Weng; Nicholas C. Wormald (J. Glob. Optim., 2001)

Forbidden subpaths for Steiner minimum networks in uniform orientation metrics. - Marcus Brazil; Doreen A. Thomas; Jia F. Weng (Networks, 2002)

Rotationally optimal spanning and Steiner trees in uniform orientation metrics. - Marcus Brazil; Benny K. Nielsen; Pawel Winter; Martin Zachariasen (Comput. Geom., 2004)

Flexibility of Steiner trees in uniform orientation metrics. - Marcus Brazil; Pawel Winter; Martin Zachariasen (Networks, 2005)

Canonical Forms and Algorithms for Steiner Trees in Uniform Orientation Metrics. - Marcus Brazil; Doreen A. Thomas; Jia F. Weng; Martin Zachariasen (Algorithmica, 2006)

Locally minimal uniformly oriented shortest networks. - Marcus Brazil; Doreen A. Thomas; Jia F. Weng (Discret. Appl. Math., 2006)

Hyperbolic Positioning Using RIPS Measurements for Wireless Sensor Networks. - Xuezhi Wang 001; William Moran 001; Marcus Brazil (ICON, 2007)

Constrained Path Optimisation for Underground Mine Layout. - Marcus Brazil; Peter Alexander Grossman; David H. Lee; J. Hyam Rubinstein; Doreen A. Thomas; Nicholas C. Wormald (World Congress on Engineering, 2007)

Distributed Self-Localisation in Sensor Networks using RIPS Measurements. - Marcus Brazil; Mark R. Morelande; William Moran 001; Doreen A. Thomas (World Congress on Engineering, 2007)

Network modelling of underground mine layout: two case studies. - Doreen A. Thomas; Marcus Brazil; David H. Lee; Nicholas C. Wormald (Int. Trans. Oper. Res., 2007)

Network optimization for the design of underground mines. - Marcus Brazil; Doreen A. Thomas (Networks, 2007)

Bayesian node localisation in wireless sensor networks. - Mark R. Morelande; William Moran 001; Marcus Brazil (ICASSP, 2008)

Equivalence, Indicators, Quasi-indicators and Optimal Steiner Topologies on Four Points in Space. - Jia F. Weng; James MacGregor Smith; Marcus Brazil; Doreen A. Thomas (Fundam. Informaticae, 2008)

Gradient-constrained minimum networks (II). Labelled or locally minimal Steiner points. - Marcus Brazil; Doreen A. Thomas; Jia F. Weng (J. Glob. Optim., 2008)

Translational packing of arbitrary polytopes. - Jens Egeblad; Benny K. Nielsen; Marcus Brazil (Comput. Geom., 2009)

Steiner trees for fixed orientation metrics. - Marcus Brazil; Martin Zachariasen (J. Glob. Optim., 2009)

A novel approach to phylogenetic trees: d-Dimensional geometric Steiner trees. - Marcus Brazil; Doreen A. Thomas; Benny K. Nielsen; Pawel Winter; Christian Wulff-Nilsen; Martin Zachariasen (Networks, 2009)

Approximating minimum Steiner point trees in Minkowski planes. - Marcus Brazil; Charl J. Ras; Doreen A. Thomas (Networks, 2010)

Extendibility and path components of admissible paths for the Dubins problem. - José Ayala-Hoffmann; Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas (AuCC, 2011)

Optimal curvature-constrained paths with anisotropic costs in the plane. - Alan J. Chang; Marcus Brazil; Doreen A. Thomas; J. Hyam Rubinstein (AuCC, 2011)

The bottleneck 2-connected $k$-Steiner network problem for $k leq 2$ - Marcus Brazil; Charl J. Ras; Doreen A. Thomas (CoRR, 2011)

Exact algorithm for the bottleneck 2-connected $k$-Steiner network problem - Marcus Brazil; Charl J. Ras; Doreen A. Thomas (CoRR, 2011)

Minimum Opaque Covers for Polygonal Regions - J. Scott Provan; Marcus Brazil; Doreen A. Thomas; Jia F. Weng (CoRR, 2012)

The bottleneck 2-connected k-Steiner network problem for k≤2. - Marcus Brazil; Charl J. Ras; Doreen A. Thomas (Discret. Appl. Math., 2012)

Curvature-constrained directional-cost paths in the plane. - Alan J. Chang; Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas (J. Glob. Optim., 2012)

Gradient-Constrained Minimum Networks. III. Fixed Topology. - Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas; Jia F. Weng; Nicholas C. Wormald (J. Optim. Theory Appl., 2012)

Relay augmentation for lifetime extension of wireless sensor networks. - Marcus Brazil; Charl J. Ras; Doreen A. Thomas (IET Wirel. Sens. Syst., 2013)

Minimal Curvature-Constrained Paths in the Plane with a Constraint on arcs with Opposite orientations. - Peter Alexander Grossman; Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas (Int. J. Comput. Geom. Appl., 2013)

The Gilbert arborescence problem. - M. G. Volz; Marcus Brazil; Charl J. Ras; Konrad J. Swanepoel; Doreen A. Thomas (Networks, 2013)

A distributed electric vehicle charging management algorithm using only local measurements. - Lu Xia; Iven Mareels; Tansu Alpcan; Marcus Brazil; Julian de Hoog; Doreen A. Thomas (ISGT, 2014)

On making energy demand and network constraints compatible in the last mile of the power grid. - Iven Mareels; Julian de Hoog; Doreen A. Thomas; Marcus Brazil; Tansu Alpcan; Derek Jayasuriya; Valentin Müenzel; Lu Xia; Ramachandra Rao Kolluri (Annu. Rev. Control., 2014)

A geometric characterisation of the quadratic min-power centre. - Marcus Brazil; Charl J. Ras; Doreen A. Thomas (Eur. J. Oper. Res., 2014)

The Uniform Orientation Steiner Tree Problem is NP-Hard. - Marcus Brazil; Martin Zachariasen (Int. J. Comput. Geom. Appl., 2014)

Improving Underground Mine Access Layouts Using Software Tools. - Marcus Brazil; Peter Alexander Grossman; J. Hyam Rubinstein; Doreen A. Thomas (Interfaces, 2014)

A flow-dependent quadratic steiner tree problem in the Euclidean plane. - Marcus N. Brazil; Charl J. Ras; Doreen A. Thomas (Networks, 2014)

Modelling voltage-demand relationship on power distribution grid for distributed demand management. - Lu Xia; Tansu Alpcan; Iven Mareels; Marcus Brazil; Julian de Hoog; Doreen A. Thomas (AuCC, 2015)

A Multi-Factor Battery Cycle Life Prediction Methodology for Optimal Battery Management. - Valentin Müenzel; Julian de Hoog; Marcus Brazil; Arun Vishwanath; Shivkumar Kalyanaraman (e-Energy, 2015)

Generalised k-Steiner Tree Problems in Normed Planes. - Marcus Brazil; Charl J. Ras; Konrad J. Swanepoel; Doreen A. Thomas (Algorithmica, 2015)

Optimal curvature and gradient-constrained directional cost paths in 3-space. - Alan J. Chang; Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas (J. Glob. Optim., 2015)

Maximizing the net present value of a Steiner tree. - K. G. Sirinanda; Marcus Brazil; Peter Alexander Grossman; J. Hyam Rubinstein; Doreen A. Thomas (J. Glob. Optim., 2015)

Exploring Human: eBike Interaction to Support Rider Autonomy. - Josh Andres; Julian de Hoog; Jürg von Känel; Julian Berk; Xuan-Bach Dinh Le; Xizi Wang; Marcus Brazil; Florian 'Floyd' Mueller (CHI PLAY (Companion), 2016)

An exact algorithm for the bottleneck 2-connected k-Steiner network problem in Lp planes. - Marcus Brazil; Charl J. Ras; Doreen A. Thomas (Discret. Appl. Math., 2016)

Gradient-constrained discounted Steiner trees I: optimal tree configurations. - K. G. Sirinanda; Marcus Brazil; Peter Alexander Grossman; J. Hyam Rubinstein; Doreen A. Thomas (J. Glob. Optim., 2016)

Gradient-constrained discounted Steiner trees II: optimally locating a discounted Steiner point. - K. G. Sirinanda; Marcus Brazil; Peter Alexander Grossman; J. Hyam Rubinstein; Doreen A. Thomas (J. Glob. Optim., 2016)

A Market Mechanism for Electric Vehicle Charging Under Network Constraints. - Julian de Hoog; Tansu Alpcan; Marcus Brazil; Doreen Anne Thomas; Iven Mareels (IEEE Trans. Smart Grid, 2016)

Siting and sizing distributed storage for microgrid applications. - Ramachandra Rao Kolluri; Julian de Hoog; Khalid Abdulla; Iven Mareels; Tansu Alpcan; Marcus Brazil; Doreen Anne Thomas (SmartGridComm, 2017)

Stability and active power sharing in droop controlled inverter interfaced microgrids: Effect of clock mismatches. - Ramachandra Rao Kolluri; Iven Mareels; Tansu Alpcan; Marcus Brazil; Julian de Hoog; Doreen Anne Thomas (Autom., 2018)

Combined optimisation of an open-pit mine outline and the transition depth to underground mining. - David Whittle; Marcus Brazil; Peter Alexander Grossman; J. Hyam Rubinstein; Doreen A. Thomas (Eur. J. Oper. Res., 2018)

Minimal curvature-constrained networks. - David Kirszenblat; K. G. Sirinanda; Marcus Brazil; Peter Alexander Grossman; J. Hyam Rubinstein; Doreen A. Thomas (J. Glob. Optim., 2018)

New pruning rules for the Steiner tree problem and 2-connected Steiner network problem. - Marcus Brazil; Marcus Volz; Martin Zachariasen; Charl J. Ras; Doreen A. Thomas (Comput. Geom., 2019)

The 2-connected bottleneck Steiner network problem is NP-hard in any 𝓁p plane. - Marcus Brazil; Charl J. Ras; Doreen A. Thomas; G. Xu (CoRR, 2019)

Computing minimum 2-edge-connected Steiner networks in the Euclidean plane. - Marcus Brazil; Marcus Volz; Martin Zachariasen; Charl J. Ras; Doreen A. Thomas (Networks, 2019)

The Fast Heuristic Algorithms and Post-Processing Techniques to Design Large and Low-Cost Communication Networks. - Yahui Sun 001; Marcus Brazil; Doreen A. Thomas; Saman K. Halgamuge (IEEE/ACM Trans. Netw., 2019)

Scheduling the construction of value and discount weighted trees for maximum net present value. - Peter Alexander Grossman; Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas (Comput. Oper. Res., 2020)

Optimum ramp design in open pit mines. - Juan L. Yarmuch; Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas (Comput. Oper. Res., 2020)

Computing Skeletons for Rectilinearly Convex Obstacles in the Rectilinear Plane. - Marcus Volz; Marcus Brazil; Charl J. Ras; Doreen A. Thomas (J. Optim. Theory Appl., 2020)

A Physarum-Inspired Algorithm for Minimum-Cost Relay Node Placement in Wireless Sensor Networks. - Yahui Sun 001; Daniel Rehfeldt; Marcus Brazil; Doreen A. Thomas; Saman K. Halgamuge (IEEE/ACM Trans. Netw., 2020)

Computational complexity of the 2-connected Steiner network problem in the ℓp plane. - Charl J. Ras; Marcus Brazil; Doreen A. Thomas (Theor. Comput. Sci., 2021)

Solving the prize-collecting Euclidean Steiner tree problem. - David Whittle; Marcus Brazil; Peter Alexander Grossman; J. Hyam Rubinstein; Doreen A. Thomas (Int. Trans. Oper. Res., 2022)

Minimum Steiner trees on a set of concyclic points and their center. - David Whittle; Marcus Brazil; Peter Alexander Grossman; Joachim Hyam Rubinstein; Doreen A. Thomas (Int. Trans. Oper. Res., 2022)

An exact algorithm for constructing minimum Euclidean skeletons of polygons. - Nicolau Andrés-Thió; Marcus Brazil; Charl J. Ras; Doreen A. Thomas; Marcus Volz (J. Glob. Optim., 2022)

Simplifying obstacles for Steiner network problems in the plane. - Marcus Volz; Marcus Brazil; Charl J. Ras; Doreen A. Thomas (Networks, 2022)

Structural Properties of Minimum Multi-source Multi-Sink Steiner Networks in the Euclidean Plane. - Alexander Westcott; Marcus Brazil; Charl J. Ras (J. Optim. Theory Appl., 2023)

Network augmentation for disaster-resilience against geographically correlated failure. - Nicolau Andrés-Thió; Marcus Brazil; Charl J. Ras; Doreen A. Thomas (Networks, 2023)

An exact algorithm for the Euclidean k-Steiner tree problem. - Marcus Brazil; Michael Hendriksen; Jae Lee; Michael S. Payne; Charl J. Ras; Doreen A. Thomas (Comput. Geom., 2024)

Curvature-constrained Steiner networks with three terminals. - Peter Alexander Grossman; David Kirszenblat; Marcus Brazil; J. Hyam Rubinstein; Doreen A. Thomas (J. Glob. Optim., 2024)