Marcus Brazil

Scheduling the construction of value and discount weighted trees for maximum net present value

PA Grossman, M Brazil, JH Rubinstein, DA Thomas

Journal article  |  2020  |  Computers & Operations Research

Given a binary rooted tree in which each edge has an associated value and an associated discount factor, the problem addressed her..

Optimum ramp design in open pit mines

JL Yarmuch, M Brazil, H Rubinstein, DA Thomas

Journal article  |  2020  |  Computers & Operations Research

The problem studied in this paper is that of designing the optimal open pit haulage ramp that, for a given ramp width and a maximu..

New pruning rules for the Steiner tree problem and 2-connected Steiner network problem

Marcus Brazil, Marcus Volz, Martin Zachariasen, Charl Ras, Doreen Thomas

Journal article  |  2019  |  Computational Geometry

The Fast Heuristic Algorithms and Post-Processing Techniques to Design Large and Low-Cost Communication Networks

Yahui Sun, Marcus Brazil, Doreen Thomas, Saman Halgamuge

Journal article  |  2019  |  IEEE/ACM Transactions on Networking

Computing minimum 2-edge-connected Steiner networks in the Euclidean plane

Marcus Brazil, Marcus Volz, Martin Zachariasen, Charl Ras, Doreen Thomas

Journal article  |  2019  |  Networks

Minimal curvature-constrained networks

D Kirszenblat, KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2018  |  Journal of Global Optimization

Combined optimisation of an open-pit mine outline and the transition depth to underground mining

D Whittle, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2018  |  European Journal of Operational Research

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

Journal article  |  2018  |  Automatica

Strategic optimisation of a vertical hoisting shaft in the callie underground mine

MG Volz, M Brazil, DA Thomas

Book Chapter  |  2018

Strategic underground mine access design to maximise the net present value

KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Book Chapter  |  2018

Overcoming the Impact of Clock Drifts on Power Sharing for Microgrids

Ramachandra Rao Kolluri, Iven Mareels, Carlos Teixeira, Shengfeng Tong, Tansu Alpcan, Marcus Brazil, Julian de Hoog, Doreen Anne Thomas

Conference Proceedings  |  2018  |  2018 IEEE Power & Energy Society General Meeting (PESGM)

Power Sharing in Angle Droop Controlled Microgrids

Ramachandra Rao Kolluri, Iven Mareels, Tansu Alpcan, Marcus Brazil, Julian de Hoog, Doreen Anne Thomas

Journal article  |  2017  |  IEEE Transactions on Power Systems

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

Conference Proceedings  |  2017  |  2017 IEEE International Conference on Smart Grid Communications (SmartGridComm)

An exact algorithm for the bottleneck 2-connected k-Steiner network problem in L-p planes

M Brazil, CJ Ras, DA Thomas

Journal article  |  2016  |  Discrete Applied Mathematics

Gradient-constrained discounted Steiner trees II: optimally locating a discounted Steiner point

KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2016  |  Journal of Global Optimization

A Market Mechanism for Electric Vehicle Charging Under Network Constraints

Julian de Hoog, Tansu Alpcan, Marcus Brazil, Doreen Anne Thomas, Iven Mareels

Journal article  |  2016  |  IEEE Transactions on Smart Grid

Exploring Human - eBike Interaction to Support Rider Autonomy

Josh Andres, Julian de Hoog, Jurg von Kanel, Julian Berk, Bach Le, Xizi Wang, Marcus Brazil, Florian 'Floyd' Mueller

Conference Proceedings  |  2016  |  Proceedings of the 2016 Annual Symposium on Computer-Human Interaction in Play Companion Extended Abstracts - CHI PLAY Companion '16

Determining the open pit to underground transition: A review of existing methods and a proposed new method

D Whittle, M Brazil, PA Grossman, JH Rubinstein, D THOMAS

Conference Proceedings  |  2016

Gradient-constrained discounted Steiner trees I: optimal tree configurations

KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2016  |  Journal of Global Optimization

Local measurements and virtual pricing signals for residential demand side management

Lu Xia, Julian de Hoog, Tansu Alpcan, Marcus Brazil, Doreen Anne Thomas, Iven Mareels

Journal article  |  2015  |  Sustainable Energy, Grids and Networks

Optimal curvature and gradient-constrained directional cost paths in 3-space

AJ Chang, M BRAZIL, JH Rubinstein, DA Thomas

Journal article  |  2015  |  Journal of Global Optimization

Optimal Interconnection Trees in the Plane

Marcus Brazil, Martin Zachariasen

Book  |  2015  |  Algorithms and Combinatorics

This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems.

The importance of spatial distribution when analysing the impact of electric vehicles on voltage stability in distribution networks

Julian de Hoog, Valentin Muenzel, Derek Chanaka Jayasuriya, Tansu Alpcan, Marcus Brazil, Doreen Anne Thomas, Iven Mareels, Glenn Dahlenburg, Raman Jegatheesan

Journal article  |  2015  |  Energy Systems

Power sharing correction in angle droop controlled inverter interfaced microgrids

RR Kolluri, I Mareels, T Alpcan, M Brazil, J de Hoog, D THOMAS

Conference Proceedings  |  2015  |  2015 IEEE Power & Energy Society General Meeting

Modelling voltage-demand relationship on power distribution grid for distributed demand management

L Xia, T Alpcan, I Mareels, M Brazil, J de Hoog, DA Thomas

Conference Proceedings  |  2015  |  2015 Australian Control Conference, AUCC 2015

A Multi-Factor Battery Cycle Life Prediction Methodology for Optimal Battery Management

V Muenzel, J de Hoog, M Brazil, A Vishwanath, S Kalyanaraman

Conference Proceedings  |  2015  |  Proceedings of the 2015 ACM Sixth International Conference on Future Energy Systems - e-Energy '15

Optimal Charging of Electric Vehicles Taking Distribution Network Constraints Into Account

J De Hoog, T Alpcan, M Brazil, DA Thomas, IMY Mareels

Journal article  |  2015  |  IEEE Transactions on Power Systems

The increasing uptake of electric vehicles suggests that vehicle charging will have a significant impact on the electricity grid. ..

Generalised k-Steiner Tree Problems in Normed Planes

Marcus Brazil, Charl J Ras, Konrad J Swanepoel, Doreen A Thomas

Journal article  |  2015  |  Algorithmica

Maximizing the net present value of a Steiner tree

KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2015  |  Journal of Global Optimization

The theory of Steiner trees has been extensively applied in physical network design problems to locate a Steiner point that minimi..

Comment on "A Comparative Testing Study of Commercial 18650-Format Lithium-Ion Battery Cells" [J. Electrochem. Soc., 162, A1592 (2015)]

Valentin Muenzel, Anthony F Hollenkamp, Anand I Bhatt, Julian de Hoog, Marcus Brazil, Doreen A Thomas, Iven Mareels

Journal article  |  2015  |  Journal of The Electrochemical Society

A Comparative Testing Study of Commercial 18650-Format Lithium-Ion Battery Cells

Valentin Muenzel, Anthony F Hollenkamp, Anand I Bhatt, Julian de Hoog, Marcus Brazil, Doreen A Thomas, Iven Mareels

Journal article  |  2015  |  Journal of The Electrochemical Society

Optimally locating a junction point for an underground mine to maximise the net present value

KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2014  |  ANZIAM Journal

On the history of the Euclidean Steiner tree problem

Marcus Brazil, Ronald L Graham, Doreen A Thomas, Martin Zachariasen

Journal article  |  2014  |  Archive for History of Exact Sciences

Improving Underground Mine Access Layouts Using Software Tools

Marcus Brazil, Peter Grossman, J Hyam Rubinstein, Doreen Thomas

Journal article  |  2014  |  Interfaces

A geometric characterisation of the quadratic min-power centre

M Brazil, CJ Ras, DA Thomas

Journal article  |  2014  |  European Journal of Operational Research

On making energy demand and network constraints compatible in the last mile of the power grid

Iven Mareels, Julian de Hoog, Doreen Thomas, Marcus Brazil, Tansu Alpcan, Derek Jayasuriya, Valentin Mueenzel, Lu Xia, Ramachandra Rao Kolluri

Journal article  |  2014  |  Annual Reviews in Control

The uniform orientation steiner tree problem is NP-hard

M Brazil, M Zachariasen

Journal article  |  2014  |  International Journal of Computational Geometry & Applications

Given a set of n points (known as terminals) and a set of λ ≥ 2 uniformly distributed (legal) orientations in the plane, the unifo..

A flow-dependent quadratic steiner tree problem in the Euclidean plane

MN Brazil, CJ Ras, DA Thomas

Journal article  |  2014  |  Networks

We introduce a flow-dependent version of the quadratic Steiner tree problem in the plane. An instance of the problem on a set of e..

The centroid as an estimate for the quadratic min-power centre

M Brazil, CJ Ras, KJ Swanepoel, DA THOMAS

Conference Proceedings  |  2014

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

Conference Proceedings  |  2014  |  Proceedings of the 2014 IEEE PES Innovative Smart Grid Technologies Conference

Analysis of Constraints for Optimal Electric Vehicle Charging

J de Hoog, L Xia, T Alpcan, M Brazil, DA THOMAS, I Mareels

Conference Proceedings  |  2014  |  Proceedings of IFAC World Congress 2014

The increasing uptake of electric vehicles is likely to put a significant demand on the electricity grid. However, expensive infra..

Strategic Underground Mine Access Design to Maximise the Net Present Value

KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA THOMAS

Conference Proceedings  |  2014

Battery Management Using Secondary Loads: A Novel Integrated Approach

V Muenzel, J de Hoog, M Brazil, DA THOMAS, I Mareels

Conference Proceedings  |  2014  |  Proceedings of IFAC World Congress 2014

Demonstrating Efficiency Gains from Installing Truck Turntables at Crushers

M Brazil, PA Grossman, JH Rubinstein, DA THOMAS

Conference Proceedings  |  2014

Electric Vehicle Charging: A Noncooperative Game Using Local Measurements

L Xia, J de Hoog, T Alpcan, M Brazil, I Mareels, DA THOMAS

Conference Proceedings  |  2014  |  Proceedings of IFAC World Congress 2014

On the effect of component mismatches in inverter interfaced microgrids

RR Kolluri, T Alpcan, I Mareels, M Brazil, J de Hoog, DA THOMAS

Conference Proceedings  |  2014  |  2014 Australasian Universities Power Engineering Conference (AUPEC)

Optimal curvature-constrained paths for general directional-cost functions

Alan J Chang, Marcus Brazil, J Hyam Rubinstein, Doreen A Thomas

Journal article  |  2013  |  Optimization and Engineering

Relay augmentation for lifetime extension of wireless sensor networks

MN Brazil, CJ Ras, DA Thomas

Journal article  |  2013  |  IET Wireless Sensor Systems

MINIMAL CURVATURE-CONSTRAINED PATHS IN THE PLANE WITH A CONSTRAINT ON ARCS WITH OPPOSITE ORIENTATIONS

PA Grossman, M Brazil, JH Rubinstein, DA Thomas

Journal article  |  2013  |  International Journal of Computational Geometry and Applications

The Gilbert arborescence problem

MG Volz, M Brazil, CJ Ras, KJ Swanepoel, DA Thomas

Journal article  |  2013  |  Networks

Electric Vehicle Charging and Grid Constraints: Comparing Distributed and Centralized Approaches

Julian de Hoog, Doreen A Thomas, Valentin Muenzel, Derek C Jayasuriya, Tansu Alpcan, Marcus Brazil, Iven Mareels

Conference Proceedings  |  2013  |  Proceedings of the 2013 IEEE Power & Energy Society General Meeting

Modeling Reversible Self-Discharge in Series-Connected Li-ion Battery Cells

Valentin Muenzel, Marcus Brazil, Iven Mareels, Julian de Hoog, Doreen A Thomas

Conference Proceedings  |  2013  |  Proceedings of the IEEE TENCON Spring Conference

Computational complexity for uniform orientation steiner tree problems

M Brazil, M Zachariasen

Conference Proceedings  |  2013  |  Proceedings of the Thirty-Sixth Australasian Computer Science Conference (ACSC 2013). CRPIT. 135. Adelaide, Australia., ACS.

Gradient-constrained minimum interconnection networks

M Brazil, MG Volz

Book Chapter  |  2013

Gradient-Constrained Minimum Networks. III. Fixed Topology

M Brazil, JH Rubinstein, DA Thomas, JF Weng, N Wormald

Journal article  |  2012  |  Journal of Optimization Theory and Applications

Curvature-constrained directional-cost paths in the plane

Alan J Chang, Marcus Brazil, J Hyam Rubinstein, Doreen A Thomas

Journal article  |  2012  |  Journal of Global Optimization

The bottleneck 2-connected k-Steiner network problem for k <= 2

M Brazil, CJ Ras, DA Thomas

Journal article  |  2012  |  Discrete Applied Mathematics

The Bottleneck Biconnected Steiner Network Problem

MN Brazil, CJ Ras, DA Thomas

Conference Proceedings  |  2012  |  Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012)

Optimal design of an underground mine decline with an associated vent raise

PA Grossman, MN Brazil, JH Rubinstein, DA Thomas

Conference Proceedings  |  2012  |  Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012)

Extendibility and path components of admissible paths for the Dubins problem

J Ayala-Hoffmann, M Brazil, H Rubinstein, D Thomas

Conference Proceedings  |  2011  |  Proceedings of Australian Control Conference

Optimal curvature-constrained paths with anisotropic costs in the plane

AJ Chang, M Brazil, DA Thomas, JH Rubinstein

Conference Proceedings  |  2011  |  Proceedings of Australian Control Conference

On smart grid technology to support a high uptake of electric vehicles - Preliminary observations

I Mareels, D Thomas, M Brazil

Conference Proceedings  |  2010  |  Proceedings of the IFAC Conference on Control Methodologies and Technology for Energy Efficiency 2010

Approximating Minimum Steiner Point Trees in Minkowski Planes

M Brazil, CJ Ras, DA Thomas

Journal article  |  2010  |  Networks

A New Algorithm for the Euclidean k-Bottleneck Steiner Problem

M BRAZIL, C RAS, D THOMAS

Conference Proceedings  |  2010  |  Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems 2010

Translational packing of arbitrary polytopes

Jens Egeblad, Benny K Nielsen, Marcus Brazil

Journal article  |  2009  |  Computational Geometry

A Novel Approach to Phylogenetic Tress: d-Dimensional Geometric Steiner Tress

M Brazil, DA Thomas, BK Nielsen, P Winter, C Wulff-Nilsen, M Zachariasen

Journal article  |  2009  |  Networks

Strategic Optimisation of a Vertical Hoisting Shaft in the Callie Underground Mine

MG Volz, M BRAZIL, D THOMAS

Conference Proceedings  |  2009  |  International Symposium. Orebody Modelling and Strategic Mine Planning: Old and New Dimensions in a Changing World

Steiner trees for fixed orientation metrics

M Brazil, M Zachariasen

Journal article  |  2009  |  Journal of Global Optimization

Access Optimisation Tools in Underground Mine Design

M BRAZIL, P GROSSMAN, D LEE, J RUBINSTEIN, D THOMAS, NC Wormald

Conference Proceedings  |  2009  |  International Symposium. Orebody Modelling and Strategic Mine Planning: Old and New Dimensions in a Changing World

Designing Optimal Flow Networks

MG Volz, M Brazil, KJ Swanepoel, DA Thomas

Conference Proceedings  |  2009  |  Proceedings of the World Congress on Engineering 2009

Deterministic Deployment of Wireless Sensor Networks

M Brazil, CJ Ras, DA Thomas

Conference Proceedings  |  2009  |  Proceedings of the World Congress on Engineering 2009

Gradient-constrained minimum networks (II). Labelled or locally minimal Steiner points

M Brazil, DA Thomas, JF Weng

Journal article  |  2008  |  Journal of Global Optimization

Equivalence, indicators, quasi-indicators and optimal Steiner topologies on four points in space

JF Weng, J MacGregor Smith, M Brazil, DA Thomas

Journal article  |  2008  |  Fundamenta Informaticae

Decline design in underground mines using constrained path optimisation

M Brazil, PA Grossman, DH Lee, JH Rubinstein, DA Thomas, NC Wormald

Journal article  |  2008  |  Transactions of the Institutions of Mining and Metallurgy, Section A: Mining Technology

Bayesian node localisation in wireless sensor networks

Mark R Morelande, Bill Moran, Marcus Brazil

Conference Proceedings  |  2008  |  2008 IEEE International Conference on Acoustics, Speech and Signal Processing

Access layout optimisation for underground mines

M BRAZIL, P GROSSMAN

Conference Proceedings  |  2008  |  Proceedings of the 2008 Australian Mining Technology Conference 'Smart Technologies for Sustaining the Minerals Boom'

Hyperbolic positioning using RIPS measurements for wireless sensor networks

X Wang, B Moran, M Brazil

Conference Proceedings  |  2007  |  Proceedings of the 2007 15th IEEE International Conference on Networks

Optimisation in the design of underground mine access

M Brazil, D Lee, JH Rubinstein, DA Thomas, JF Weng, NC Wormald

Journal article  |  2007  |  Australasian Institute of Mining and Metallurgy Publication Series

Hyperbolic positioning using RIPS measurements for wireless sensor networks

Xuezhi Wang, Bill Moran, Marcus Brazil

Conference Proceedings  |  2007  |  2007 15TH IEEE INTERNATIONAL CONFERENCE ON NETWORKS

OPTIMISATION IN UNDERGROUND MINING

Christopher Alford, Marcus Brazil, David H Lee

Book Chapter  |  2007  |  International Series in Operations Research and Management Science

Network modelling of underground mine layout: Two case studies

DA Thomas, M Brazil, DH Lee, NC Wormald

Journal article  |  2007  |  International Transactions in Operational Research

Network optimization for the design of underground mines

M Brazil, DA Thomas

Journal article  |  2007  |  Networks

Constrained path optimisation for underground mine layout

M Brazil, PA Grossman, DH Lee, JH Rubinstein, DA Thomas, NC Wormald

Conference Proceedings  |  2007  |  The World Congress on Engineering 2007 (WCE 2007): Lecture Notes in Engineering and Computer Science)

Distributed self-localisation in sensor networks using RIPS measurements

M Brazil, M Morelande, B Moran, DA Thomas

Conference Proceedings  |  2007  |  The World Congress on Engineering 2007 (WCE 2007): Lectures Notes in Engineering and Computer Science

Locally minimal uniformly oriented shortest networks

M Brazil, DA Thomas, JF Weng

Journal article  |  2006  |  Discrete Applied Mathematics

Canonical forms and algorithms for steiner trees in uniform orientation metrics

M Brazil, DA Thomas, JF Weng, M Zachariasen

Journal article  |  2006  |  Algorithmica

Quasi-indicators and optimal Steiner topologies on four points in space

J WENG, J MacGregor Smith, M BRAZIL, D THOMAS

Conference Proceedings  |  2006  |  Proceedings of the Seventeenth Australasian Workshop on Combinational Algorithms (AWOCA 2006)

Flexibility of steiner trees in uniform orientation metrics

M Brazil, P Winter, M Zachariasen

Journal article  |  2005  |  Networks

Cost optimisation for underground mining networks

M Brazil, DA Thomas, JF Weng, JH Rubinstein, DH Lee

Journal article  |  2005  |  Optimization and Engineering

Optimisation in the design of underground mine access

M Brazil, D Lee, JH Rubinstein, DA Thomas, JF Weng, NC Wormald

Book Chapter  |  2005

The gradient-constrained Fermat-Weber problem for underground mine design

MN BRAZIL, JH RUBINSTEIN, MG VOLZ

Conference Proceedings  |  2005  |  Proceedings of the 18th National Conference of the Australian Society for Operations Research and the 11th Australian Optimisation Day

Upper and lower bounds for the lengths of Steiner trees in 3-space

M Brazil, DA Thomas, JF Weng

Journal article  |  2004  |  Geometriae Dedicata

Rotationally optimal spanning and Steiner trees in uniform orientation metrics

M Brazil, BK Nielsen, P Winter, M Zachariasen

Journal article  |  2004  |  Computational Geometry

Optimisation in the design of underground mine access

MN BRAZIL, DH LEE, JH RUBINSTEIN, DA THOMAS, JF WENG, NC WORMALD

Conference Proceedings  |  2004  |  Proceedings of Orebody modelling and strategic mine planning: uncertainty and risk management: International symposium 2004

Flexibility of Steiner trees in uniform orientation metrics

M Brazil, P Winter, M Zachariasen

Conference Proceedings  |  2004  |  Lecture notes in computer science: Algorithms and computation: 15th international symposium, ISAAC 2004 proceedings

The structure and flexibility of Steiner trees in uniform orientation metrics

MN BRAZIL, DA THOMAS, JF WENG, P WINTER, M ZACHARIASEN

Conference Proceedings  |  2004  |  Proceedings of the sixth international conference on optimization: techniques and applications (ICOTA6 2004)

Optimising declines in underground mines

M Brazil, DH Lee, M Van Leuven, JH Rubinstein, DA Thomas, NC Wormald

Journal article  |  2003  |  TRANSACTIONS OF THE INSTITUTION OF MINING AND METALLURGY SECTION A-MINING TECHNOLOGY

Optimising declines in underground mines

M Brazil, DH Lee, M Van Leuven, JH Rubinstein, DA Thomas, NC Wormald

Journal article  |  2003  |  Transactions of the Institutions of Mining and Metallurgy, Section A: Mining Technology

Flexibility of Steiner minimum trees in uniform orientation metrics

MN BRAZIL

Conference Proceedings  |  2003  |  Proceedings of 18th international symposium on mathematical programming

Getting hooked on mathematics through its applications

C Mangelsdorf, M Brazil, A Tordesillas

Journal article  |  2003  |  Teaching Mathematics and its Applications

Forbidden subpaths for Steiner minimum networks in uniform orientation metrics

M Brazil, DA Thomas, JF Weng

Journal article  |  2002  |  Networks

A network model to optimise cost in underground mine design

MN BRAZIL, DH LEE, JH RUBINSTEIN, DA THOMAS, JF WENG, NC WORMALD

Journal article  |  2002  |  The Transactions of the South African Institute of Electrical Engineers

Network optimisation of underground mine design

M Brazil, DH Lee, JH Rubinstein, DA Thomas, JF Weng, NC Wormald

Journal article  |  2001  |  AusIMM Proceedings

Gradient-constrained minimum networks. I. Fundamentals

M Brazil, JH Rubinstein, DA Thomas, JF Weng, NC Wormald

Journal article  |  2001  |  Journal of Global Optimization

Modelling and optimisation of a weighted network in an underground mine design

MN BRAZIL, JH RUBINSTEIN, DA THOMAS, JF WENG

Conference Proceedings  |  2001  |  Proceedings of the 3rd International Conference on Control Theory and Applications

Steiner minimum trees in uniform orientation metrics

MN BRAZIL

Book Chapter  |  2001

On the complexity of the Steiner problem

M Brazil, DA Thomas, JF Weng

Journal article  |  2000  |  Journal of Combinatorial Optimization

Minimum networks in uniform orientation metrics

M Brazil, DA Thomas, JF Weng

Journal article  |  2000  |  SIAM Journal on Computing

A polynomial time algorithm for rectilinear Steiner trees with terminals constrained to curves

M Brazil, DA Thomas, JF Weng

Journal article  |  1999  |  Networks

Minimal Steiner trees for rectangular arrays of lattice points

M Brazil, JH Rubinstein, DA Thomas, JF Weng, NC Wormald

Journal article  |  1997  |  Journal of Combinatorial Theory, Series A

Full minimal Steiner trees on lattice sets

M Brazil, JH Rubinstein, DA Thomas, JF Weng, NC Wormald

Journal article  |  1997  |  Journal of Combinatorial Theory, Series A

Minimal Steiner trees for 2(k)x2(k) square lattices

M Brazil, T Cole, JH Rubinstein, DA Thomas, JF Weng, NC Wormald

Journal article  |  1996  |  Journal of Combinatorial Theory, Series A

GROWTH FUNCTIONS FOR SOME NONAUTOMATIC BAUMSLAG-SOLITAR GROUPS

M BRAZIL

Journal article  |  1994  |  Transactions of the American Mathematical Society

Growth functions for some nonautomatic baumslag-solitarg roups

M Brazil

Journal article  |  1994  |  Transactions of the American Mathematical Society

MAXIMAL-SUBGROUPS OF INFINITE SYMMETRICAL GROUPS

M BRAZIL, J COVINGTON, T PENTTILA, CE PRAEGER, AR WOODS

Journal article  |  1994  |  Proceedings of the London Mathematical Society

GROWTH FUNCTIONS FOR SOME ONE-RELATOR MONOIDS

M BRAZIL

Journal article  |  1993  |  Communications in Algebra