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ORCIDMarcus Brazil
Marcus N. Brazil
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- affiliation: University of Melbourne, Australia
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2020 – today
- 2024
[j58]Marcus Brazil, Michael Hendriksen, Jae Lee, Michael S. Payne, Charl J. Ras
, Doreen A. Thomas:
An exact algorithm for the Euclidean k-Steiner tree problem. Comput. Geom. 121: 102099 (2024)- [j57]Peter Alexander Grossman, David Kirszenblat, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas:
Curvature-constrained Steiner networks with three terminals. J. Glob. Optim. 90(3): 691-710 (2024) - 2023
- [j56]Alexander Westcott, Marcus Brazil, Charl J. Ras:
Structural Properties of Minimum Multi-source Multi-Sink Steiner Networks in the Euclidean Plane. J. Optim. Theory Appl. 197(3): 1104-1139 (2023) - [j55]Nicolau Andrés-Thió, Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Network augmentation for disaster-resilience against geographically correlated failure. Networks 81(4): 419-444 (2023) - 2022
- [j54]David Whittle, Marcus Brazil, Peter Alexander Grossman, J. Hyam Rubinstein, Doreen A. Thomas:
Solving the prize-collecting Euclidean Steiner tree problem. Int. Trans. Oper. Res. 29(3): 1479-1501 (2022) - [j53]David Whittle, Marcus Brazil, Peter Alexander Grossman, Joachim Hyam Rubinstein, Doreen A. Thomas:
Minimum Steiner trees on a set of concyclic points and their center. Int. Trans. Oper. Res. 29(4): 2201-2225 (2022) - [j52]Nicolau Andrés-Thió, Marcus Brazil, Charl J. Ras, Doreen A. Thomas, Marcus Volz:
An exact algorithm for constructing minimum Euclidean skeletons of polygons. J. Glob. Optim. 83(1): 137-162 (2022) - [j51]Marcus Volz, Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Simplifying obstacles for Steiner network problems in the plane. Networks 80(1): 77-92 (2022) - 2021
- [j50]Charl J. Ras, Marcus Brazil, Doreen A. Thomas:
Computational complexity of the 2-connected Steiner network problem in the ℓp plane. Theor. Comput. Sci. 850: 168-184 (2021) - 2020
- [j49]Peter Alexander Grossman, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas:
Scheduling the construction of value and discount weighted trees for maximum net present value. Comput. Oper. Res. 115: 104578 (2020) - [j48]Juan L. Yarmuch, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas:
Optimum ramp design in open pit mines. Comput. Oper. Res. 115: 104739 (2020) - [j47]Marcus Volz, Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Computing Skeletons for Rectilinearly Convex Obstacles in the Rectilinear Plane. J. Optim. Theory Appl. 186(1): 102-133 (2020) - [j46]Yahui Sun, Daniel Rehfeldt, Marcus Brazil, Doreen A. Thomas, Saman K. Halgamuge:
A Physarum-Inspired Algorithm for Minimum-Cost Relay Node Placement in Wireless Sensor Networks. IEEE/ACM Trans. Netw. 28(2): 681-694 (2020) - [i10]Marcus Volz, Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Computing skeletons for rectilinearly-convex obstacles in the rectilinear plane. CoRR abs/2004.04365 (2020)
2010 – 2019
- 2019
- [j45]Marcus Brazil, Marcus Volz, Martin Zachariasen, Charl J. Ras, Doreen A. Thomas:
New pruning rules for the Steiner tree problem and 2-connected Steiner network problem. Comput. Geom. 78: 37-49 (2019) - [j44]Marcus Brazil, Marcus Volz, Martin Zachariasen, Charl J. Ras, Doreen A. Thomas:
Computing minimum 2-edge-connected Steiner networks in the Euclidean plane. Networks 73(1): 89-103 (2019) - [j43]Yahui Sun, Marcus Brazil, Doreen A. Thomas, Saman K. Halgamuge:
The Fast Heuristic Algorithms and Post-Processing Techniques to Design Large and Low-Cost Communication Networks. IEEE/ACM Trans. Netw. 27(1): 375-388 (2019) - [i9]Yahui Sun, Marcus Brazil, Doreen A. Thomas, Saman K. Halgamuge:
The Fast Heuristic Algorithms and Post-Processing Techniques to Design Large and Low-Cost Communication Networks. CoRR abs/1902.01939 (2019) - [i8]Marcus Brazil, Charl J. Ras, Doreen A. Thomas, G. Xu:
The 2-connected bottleneck Steiner network problem is NP-hard in any 𝓁p plane. CoRR abs/1907.03474 (2019) - 2018
- [j42]Ramachandra Rao Kolluri, Iven Mareels, Tansu Alpcan, Marcus Brazil, Julian de Hoog, Doreen Anne Thomas:
Stability and active power sharing in droop controlled inverter interfaced microgrids: Effect of clock mismatches. Autom. 93: 469-475 (2018) - [j41]David Whittle, Marcus Brazil, Peter Alexander Grossman, J. Hyam Rubinstein, Doreen A. Thomas:
Combined optimisation of an open-pit mine outline and the transition depth to underground mining. Eur. J. Oper. Res. 268(2): 624-634 (2018) - [j40]David Kirszenblat, K. G. Sirinanda, Marcus Brazil, Peter Alexander Grossman, J. Hyam Rubinstein, Doreen A. Thomas:
Minimal curvature-constrained networks. J. Glob. Optim. 72(1): 71-87 (2018) - 2017
- [c14]Ramachandra Rao Kolluri, Julian de Hoog, Khalid Abdulla, Iven Mareels, Tansu Alpcan, Marcus Brazil, Doreen Anne Thomas:
Siting and sizing distributed storage for microgrid applications. SmartGridComm 2017: 128-133 - 2016
- [j39]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
An exact algorithm for the bottleneck 2-connected k-Steiner network problem in Lp planes. Discret. Appl. Math. 201: 47-69 (2016) - [j38]K. G. Sirinanda, Marcus Brazil, Peter Alexander Grossman, J. Hyam Rubinstein, Doreen A. Thomas:
Gradient-constrained discounted Steiner trees I: optimal tree configurations. J. Glob. Optim. 64(3): 497-513 (2016) - [j37]K. G. Sirinanda, Marcus Brazil, Peter Alexander Grossman, J. Hyam Rubinstein, Doreen A. Thomas:
Gradient-constrained discounted Steiner trees II: optimally locating a discounted Steiner point. J. Glob. Optim. 64(3): 515-532 (2016) - [j36]Julian de Hoog, Tansu Alpcan, Marcus Brazil, Doreen Anne Thomas, Iven Mareels:
A Market Mechanism for Electric Vehicle Charging Under Network Constraints. IEEE Trans. Smart Grid 7(2): 827-836 (2016) - [c13]Josh Andres, Julian de Hoog, Jürg von Känel, Julian Berk, Xuan-Bach Dinh Le, Xizi Wang, Marcus Brazil, Florian 'Floyd' Mueller:
Exploring Human: eBike Interaction to Support Rider Autonomy. CHI PLAY (Companion) 2016: 85-92 - 2015
- [j35]Marcus Brazil, Charl J. Ras, Konrad J. Swanepoel, Doreen A. Thomas:
Generalised k-Steiner Tree Problems in Normed Planes. Algorithmica 71(1): 66-86 (2015) - [j34]K. G. Sirinanda, Marcus Brazil, Peter Alexander Grossman, J. Hyam Rubinstein, Doreen A. Thomas:
Maximizing the net present value of a Steiner tree. J. Glob. Optim. 62(2): 391-407 (2015) - [j33]Alan J. Chang, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas:
Optimal curvature and gradient-constrained directional cost paths in 3-space. J. Glob. Optim. 62(3): 507-527 (2015) - [c12]Lu Xia, Tansu Alpcan, Iven Mareels, Marcus Brazil, Julian de Hoog, Doreen A. Thomas:
Modelling voltage-demand relationship on power distribution grid for distributed demand management. AuCC 2015: 200-205 - [c11]Valentin Müenzel, Julian de Hoog, Marcus Brazil, Arun Vishwanath, Shivkumar Kalyanaraman:
A Multi-Factor Battery Cycle Life Prediction Methodology for Optimal Battery Management. e-Energy 2015: 57-66 - 2014
- [j32]Iven Mareels, Julian de Hoog, Doreen A. Thomas, Marcus Brazil, Tansu Alpcan, Derek Jayasuriya, Valentin Müenzel, Lu Xia, Ramachandra Rao Kolluri:
On making energy demand and network constraints compatible in the last mile of the power grid. Annu. Rev. Control. 38(2): 243-258 (2014) - [j31]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
A geometric characterisation of the quadratic min-power centre. Eur. J. Oper. Res. 233(1): 34-42 (2014) - [j30]Marcus Brazil, Martin Zachariasen:
The Uniform Orientation Steiner Tree Problem is NP-Hard. Int. J. Comput. Geom. Appl. 24(2): 87-106 (2014) - [j29]Marcus Brazil, Peter Alexander Grossman, J. Hyam Rubinstein, Doreen A. Thomas:
Improving Underground Mine Access Layouts Using Software Tools. Interfaces 44(2): 195-203 (2014) - [j28]Marcus N. Brazil, Charl J. Ras, Doreen A. Thomas:
A flow-dependent quadratic steiner tree problem in the Euclidean plane. Networks 64(1): 18-28 (2014) - [c10]Lu Xia, Iven Mareels, Tansu Alpcan, Marcus Brazil, Julian de Hoog, Doreen A. Thomas:
A distributed electric vehicle charging management algorithm using only local measurements. ISGT 2014: 1-5 - 2013
- [j27]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Relay augmentation for lifetime extension of wireless sensor networks. IET Wirel. Sens. Syst. 3(2) (2013) - [j26]Peter Alexander Grossman, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas:
Minimal Curvature-Constrained Paths in the Plane with a Constraint on arcs with Opposite orientations. Int. J. Comput. Geom. Appl. 23(3): 171-196 (2013) - [j25]M. G. Volz, Marcus Brazil, Charl J. Ras, Konrad J. Swanepoel, Doreen A. Thomas:
The Gilbert arborescence problem. Networks 61(3): 238-247 (2013) - [i7]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Relay Augmentation for Lifetime Extension of Wireless Sensor Networks. CoRR abs/1301.4728 (2013) - [i6]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Approximating Minimum Steiner Point Trees in Minkowski Planes. CoRR abs/1307.2987 (2013) - 2012
- [j24]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
The bottleneck 2-connected k-Steiner network problem for k≤2. Discret. Appl. Math. 160(7-8): 1028-1038 (2012) - [j23]Alan J. Chang, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas:
Curvature-constrained directional-cost paths in the plane. J. Glob. Optim. 53(4): 663-681 (2012) - [j22]Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas, Jia F. Weng, Nicholas C. Wormald:
Gradient-Constrained Minimum Networks. III. Fixed Topology. J. Optim. Theory Appl. 155(1): 336-354 (2012) - [i5]J. Scott Provan, Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
Minimum Opaque Covers for Polygonal Regions. CoRR abs/1210.8139 (2012) - 2011
- [c9]Alan J. Chang, Marcus Brazil, Doreen A. Thomas, J. Hyam Rubinstein:
Optimal curvature-constrained paths with anisotropic costs in the plane. AuCC 2011: 112-117 - [c8]José Ayala-Hoffmann, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas:
Extendibility and path components of admissible paths for the Dubins problem. AuCC 2011: 440-444 - [i4]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
The bottleneck 2-connected $k$-Steiner network problem for $k\leq 2$. CoRR abs/1108.3655 (2011) - [i3]Marcus Brazil, Charl J. Ras, Konrad J. Swanepoel, Doreen A. Thomas:
Generalised k-Steiner Tree Problems in Normed Planes. CoRR abs/1111.1464 (2011) - [i2]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Exact algorithm for the bottleneck 2-connected $k$-Steiner network problem. CoRR abs/1111.2105 (2011) - [i1]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
A Flow-dependent Quadratic Steiner Tree Problem in the Euclidean Plane. CoRR abs/1111.2109 (2011) - 2010
- [j21]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Approximating minimum Steiner point trees in Minkowski planes. Networks 56(4): 244-254 (2010)
2000 – 2009
- 2009
- [j20]Jens Egeblad, Benny K. Nielsen, Marcus Brazil:
Translational packing of arbitrary polytopes. Comput. Geom. 42(4): 269-288 (2009) - [j19]Marcus Brazil, Martin Zachariasen:
Steiner trees for fixed orientation metrics. J. Glob. Optim. 43(1): 141-169 (2009) - [j18]Marcus Brazil, Doreen A. Thomas, Benny K. Nielsen, Pawel Winter, Christian Wulff-Nilsen, Martin Zachariasen:
A novel approach to phylogenetic trees: d-Dimensional geometric Steiner trees. Networks 53(2): 104-111 (2009) - 2008
- [j17]Jia F. Weng, James MacGregor Smith, Marcus Brazil, Doreen A. Thomas:
Equivalence, Indicators, Quasi-indicators and Optimal Steiner Topologies on Four Points in Space. Fundam. Informaticae 84(1): 135-149 (2008) - [j16]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
Gradient-constrained minimum networks (II). Labelled or locally minimal Steiner points. J. Glob. Optim. 42(1): 23-37 (2008) - [c7]Mark R. Morelande, William Moran, Marcus Brazil:
Bayesian node localisation in wireless sensor networks. ICASSP 2008: 2545-2548 - 2007
- [j15]Doreen A. Thomas, Marcus Brazil, David H. Lee, Nicholas C. Wormald:
Network modelling of underground mine layout: two case studies. Int. Trans. Oper. Res. 14(2): 143-158 (2007) - [j14]Marcus Brazil, Doreen A. Thomas:
Network optimization for the design of underground mines. Networks 49(1): 40-50 (2007) - [c6]Xuezhi Wang, William Moran, Marcus Brazil:
Hyperbolic Positioning Using RIPS Measurements for Wireless Sensor Networks. ICON 2007: 425-430 - [c5]Marcus Brazil, Peter Alexander Grossman, David H. Lee, J. Hyam Rubinstein, Doreen A. Thomas, Nicholas C. Wormald:
Constrained Path Optimisation for Underground Mine Layout. World Congress on Engineering 2007: 856-861 - [c4]Marcus Brazil, Mark R. Morelande, William Moran, Doreen A. Thomas:
Distributed Self-Localisation in Sensor Networks using RIPS Measurements. World Congress on Engineering 2007: 1476-1481 - 2006
- [j13]Marcus Brazil, Doreen A. Thomas, Jia F. Weng, Martin Zachariasen:
Canonical Forms and Algorithms for Steiner Trees in Uniform Orientation Metrics. Algorithmica 44(4): 281-300 (2006) - [j12]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
Locally minimal uniformly oriented shortest networks. Discret. Appl. Math. 154(18): 2545-2564 (2006) - 2005
- [j11]Marcus Brazil, Pawel Winter, Martin Zachariasen:
Flexibility of Steiner trees in uniform orientation metrics. Networks 46(3): 142-153 (2005) - 2004
- [j10]Marcus Brazil, Benny K. Nielsen, Pawel Winter, Martin Zachariasen:
Rotationally optimal spanning and Steiner trees in uniform orientation metrics. Comput. Geom. 29(3): 251-263 (2004) - [c3]Marcus Brazil, Pawel Winter, Martin Zachariasen:
Flexibility of Steiner Trees in Uniform Orientation Metrics. ISAAC 2004: 196-208 - 2002
- [j9]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
Forbidden subpaths for Steiner minimum networks in uniform orientation metrics. Networks 39(4): 186-202 (2002) - 2001
- [j8]Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas, Jia F. Weng, Nicholas C. Wormald:
Gradient-constrained minimum networks. I. Fundamentals. J. Glob. Optim. 21(2): 139-155 (2001) - 2000
- [j7]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
On the Complexity of the Steiner Problem. J. Comb. Optim. 4(2): 187-195 (2000) - [j6]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
Minimum Networks in Uniform Orientation Metrics. SIAM J. Comput. 30(5): 1579-1593 (2000)
1990 – 1999
- 1999
- [j5]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
A polynomial time algorithm for rectilinear Steiner trees with terminals constrained to curves. Networks 33(2): 145-155 (1999) - 1997
- [j4]Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas, Jia F. Weng, Nicholas C. Wormald:
Full Minimal Steiner Trees on Lattice Sets. J. Comb. Theory A 78(1): 51-91 (1997) - [j3]Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas, Jia F. Weng, Nicholas C. Wormald:
Minimal Steiner Trees for Rectangular Arrays of Lattice Points. J. Comb. Theory A 79(2): 181-208 (1997) - [c2]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
Gradient-constrained minimal Steiner trees. Network Design: Connectivity and Facilities Location 1997: 23-38 - [c1]Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas, Jia F. Weng, Nicholas C. Wormald:
Shortest networks on spheres. Network Design: Connectivity and Facilities Location 1997: 453-461 - 1996
- [j2]Marcus Brazil, T. Cole, J. Hyam Rubinstein, Doreen A. Thomas, Jia F. Weng, Nicholas C. Wormald:
Minimal Steiner Trees for 2k×2k Square Lattices. J. Comb. Theory A 73(1): 91-110 (1996) - 1991
- [j1]Marcus Brazil:
Monoid Growth Functions for Braid Groups. Int. J. Algebra Comput. 1(2): 201-206 (1991)
Coauthor Index
Joachim Hyam Rubinstein
aka: J. Hyam Rubinstein
aka: J. Hyam Rubinstein
Doreen A. Thomas
aka: Doreen Anne Thomas
aka: Doreen Anne Thomas
[j58] [j57] [j55] [j54] [j53] [j52] [j51] [j50] [j49] [j48] [j47] [j46] [i10] [j45] [j44] [j43] [i9] [i8] [j42] [j41] [j40] [c14] [j39] [j38] [j37] [j36] [j35] [j34] [j33] [c12] [j32] [j31] [j29] [j28] [c10] [j27] [j26] [j25] [i7] [i6] [j24] [j23] [j22] [i5] [c9] [c8] [i4] [i3] [i2] [i1] [j21] [j18] [j17] [j16] [j15] [j14] [c5] [c4] [j13] [j12] [j9] [j8] [j7] [j6] [j5] [j4] [j3] [c2] [c1] [j2]
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