Marcus Brazil

Orcid: 0000-0001-8985-3752

Affiliations:
  • University of Melbourne, Australia


According to our database1, Marcus Brazil authored at least 75 papers between 1991 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Dataset
Other 

Links

Online presence:

On csauthors.net:

Bibliography

2024
Curvature-constrained Steiner networks with three terminals.
J. Glob. Optim., November, 2024

An exact algorithm for the Euclidean k-Steiner tree problem.
Comput. Geom., 2024

2023
Network augmentation for disaster-resilience against geographically correlated failure.
Networks, June, 2023

Structural Properties of Minimum Multi-source Multi-Sink Steiner Networks in the Euclidean Plane.
J. Optim. Theory Appl., June, 2023

2022
Simplifying obstacles for Steiner network problems in the plane.
Networks, 2022

An exact algorithm for constructing minimum Euclidean skeletons of polygons.
J. Glob. Optim., 2022

Minimum Steiner trees on a set of concyclic points and their center.
Int. Trans. Oper. Res., 2022

Solving the prize-collecting Euclidean Steiner tree problem.
Int. Trans. Oper. Res., 2022

2021
Computational complexity of the 2-connected Steiner network problem in the <i>ℓ</i><sub><i>p</i></sub> plane.
Theor. Comput. Sci., 2021

2020
A Physarum-Inspired Algorithm for Minimum-Cost Relay Node Placement in Wireless Sensor Networks.
IEEE/ACM Trans. Netw., 2020

Computing Skeletons for Rectilinearly Convex Obstacles in the Rectilinear Plane.
J. Optim. Theory Appl., 2020

Optimum ramp design in open pit mines.
Comput. Oper. Res., 2020

Scheduling the construction of value and discount weighted trees for maximum net present value.
Comput. Oper. Res., 2020

2019
The Fast Heuristic Algorithms and Post-Processing Techniques to Design Large and Low-Cost Communication Networks.
IEEE/ACM Trans. Netw., 2019

Computing minimum 2-edge-connected Steiner networks in the Euclidean plane.
Networks, 2019

The 2-connected bottleneck Steiner network problem is NP-hard in any 𝓁<sub>p</sub> plane.
CoRR, 2019

New pruning rules for the Steiner tree problem and 2-connected Steiner network problem.
Comput. Geom., 2019

2018
Minimal curvature-constrained networks.
J. Glob. Optim., 2018

Combined optimisation of an open-pit mine outline and the transition depth to underground mining.
Eur. J. Oper. Res., 2018

Stability and active power sharing in droop controlled inverter interfaced microgrids: Effect of clock mismatches.
Autom., 2018

2017
Siting and sizing distributed storage for microgrid applications.
Proceedings of the 2017 IEEE International Conference on Smart Grid Communications, 2017

2016
A Market Mechanism for Electric Vehicle Charging Under Network Constraints.
IEEE Trans. Smart Grid, 2016

Gradient-constrained discounted Steiner trees II: optimally locating a discounted Steiner point.
J. Glob. Optim., 2016

Gradient-constrained discounted Steiner trees I: optimal tree configurations.
J. Glob. Optim., 2016

An exact algorithm for the bottleneck 2-connected k-Steiner network problem in L<sub>p</sub> planes.
Discret. Appl. Math., 2016

Exploring Human: eBike Interaction to Support Rider Autonomy.
Proceedings of the 2016 Annual Symposium on Computer-Human Interaction in Play, 2016

2015
Maximizing the net present value of a Steiner tree.
J. Glob. Optim., 2015

Optimal curvature and gradient-constrained directional cost paths in 3-space.
J. Glob. Optim., 2015

Generalised k-Steiner Tree Problems in Normed Planes.
Algorithmica, 2015

A Multi-Factor Battery Cycle Life Prediction Methodology for Optimal Battery Management.
Proceedings of the 2015 ACM Sixth International Conference on Future Energy Systems, 2015

Modelling voltage-demand relationship on power distribution grid for distributed demand management.
Proceedings of the 2015 5th Australian Control Conference (AUCC), Gold Coast, 2015

2014
A flow-dependent quadratic steiner tree problem in the Euclidean plane.
Networks, 2014

Improving Underground Mine Access Layouts Using Software Tools.
Interfaces, 2014

The Uniform Orientation Steiner Tree Problem is NP-Hard.
Int. J. Comput. Geom. Appl., 2014

A geometric characterisation of the quadratic min-power centre.
Eur. J. Oper. Res., 2014

On making energy demand and network constraints compatible in the last mile of the power grid.
Annu. Rev. Control., 2014

A distributed electric vehicle charging management algorithm using only local measurements.
Proceedings of the IEEE PES Innovative Smart Grid Technologies Conference, 2014

2013
The Gilbert arborescence problem.
Networks, 2013

Minimal Curvature-Constrained Paths in the Plane with a Constraint on arcs with Opposite orientations.
Int. J. Comput. Geom. Appl., 2013

Relay augmentation for lifetime extension of wireless sensor networks.
IET Wirel. Sens. Syst., 2013

2012
Gradient-Constrained Minimum Networks. III. Fixed Topology.
J. Optim. Theory Appl., 2012

Curvature-constrained directional-cost paths in the plane.
J. Glob. Optim., 2012

The bottleneck 2-connected k-Steiner network problem for k≤2.
Discret. Appl. Math., 2012

Minimum Opaque Covers for Polygonal Regions
CoRR, 2012

2011
Exact algorithm for the bottleneck 2-connected $k$-Steiner network problem
CoRR, 2011

The bottleneck 2-connected $k$-Steiner network problem for $k\leq 2$
CoRR, 2011

Optimal curvature-constrained paths with anisotropic costs in the plane.
Proceedings of the 2011 Australian Control Conference, 2011

Extendibility and path components of admissible paths for the Dubins problem.
Proceedings of the 2011 Australian Control Conference, 2011

2010
Approximating minimum Steiner point trees in Minkowski planes.
Networks, 2010

2009
A novel approach to phylogenetic trees: <i>d</i>-Dimensional geometric Steiner trees.
Networks, 2009

Steiner trees for fixed orientation metrics.
J. Glob. Optim., 2009

Translational packing of arbitrary polytopes.
Comput. Geom., 2009

2008
Gradient-constrained minimum networks (II). Labelled or locally minimal Steiner points.
J. Glob. Optim., 2008

Equivalence, Indicators, Quasi-indicators and Optimal Steiner Topologies on Four Points in Space.
Fundam. Informaticae, 2008

Bayesian node localisation in wireless sensor networks.
Proceedings of the IEEE International Conference on Acoustics, 2008

2007
Network optimization for the design of underground mines.
Networks, 2007

Network modelling of underground mine layout: two case studies.
Int. Trans. Oper. Res., 2007

Distributed Self-Localisation in Sensor Networks using RIPS Measurements.
Proceedings of the World Congress on Engineering, 2007

Constrained Path Optimisation for Underground Mine Layout.
Proceedings of the World Congress on Engineering, 2007

Hyperbolic Positioning Using RIPS Measurements for Wireless Sensor Networks.
Proceedings of the 15th IEEE International Conference on Networks, 2007

2006
Locally minimal uniformly oriented shortest networks.
Discret. Appl. Math., 2006

Canonical Forms and Algorithms for Steiner Trees in Uniform Orientation Metrics.
Algorithmica, 2006

2005
Flexibility of Steiner trees in uniform orientation metrics.
Networks, 2005

2004
Rotationally optimal spanning and Steiner trees in uniform orientation metrics.
Comput. Geom., 2004

2002
Forbidden subpaths for Steiner minimum networks in uniform orientation metrics.
Networks, 2002

2001
Gradient-constrained minimum networks. I. Fundamentals.
J. Glob. Optim., 2001

2000
Minimum Networks in Uniform Orientation Metrics.
SIAM J. Comput., 2000

On the Complexity of the Steiner Problem.
J. Comb. Optim., 2000

1999
A polynomial time algorithm for rectilinear Steiner trees with terminals constrained to curves.
Networks, 1999

1997
Full Minimal Steiner Trees on Lattice Sets.
J. Comb. Theory A, 1997

Minimal Steiner Trees for Rectangular Arrays of Lattice Points.
J. Comb. Theory A, 1997

Gradient-constrained minimal Steiner trees.
Proceedings of the Network Design: Connectivity and Facilities Location, 1997

Shortest networks on spheres.
Proceedings of the Network Design: Connectivity and Facilities Location, 1997

1996
Minimal Steiner Trees for 2<sup>k</sup>×2<sup>k</sup> Square Lattices.
J. Comb. Theory A, 1996

1991
Monoid Growth Functions for Braid Groups.
Int. J. Algebra Comput., 1991


  Loading...