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2020 – today
- 2024
[j75]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)- [j74]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
- [j73]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
- [j72]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) - [j71]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) - [j70]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) - [j69]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
- [j68]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
- [j67]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) - [j66]Juan L. Yarmuch, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas:
Optimum ramp design in open pit mines. Comput. Oper. Res. 115: 104739 (2020) - [j65]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) - [j64]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
- [j63]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) - [j62]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) - [j61]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
- [j60]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) - [j59]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) - [j58]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
- [j57]Charl J. Ras, Konrad J. Swanepoel, Doreen Anne Thomas:
Approximate Euclidean Steiner Trees. J. Optim. Theory Appl. 172(3): 845-873 (2017) - [c11]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
- [j56]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) - [j55]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) - [j54]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) - [j53]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) - 2015
- [j52]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) - [j51]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) - [j50]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) - [c10]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 - 2014
- [j49]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) - [j48]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) - [j47]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) - [j46]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) - [j45]Doreen A. Thomas, Jia F. Weng:
Euclidean Steiner trees optimal with respect to swapping 4-point subtrees. Optim. Lett. 8(4): 1337-1359 (2014) - [c9]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
- [j44]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Relay augmentation for lifetime extension of wireless sensor networks. IET Wirel. Sens. Syst. 3(2) (2013) - [j43]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) - [j42]M. G. Volz, Marcus Brazil, Charl J. Ras, Konrad J. Swanepoel, Doreen A. Thomas:
The Gilbert arborescence problem. Networks 61(3): 238-247 (2013) - [j41]Robert R. Kerr, Anthony N. Burkitt, Doreen A. Thomas, Matthieu Gilson, David B. Grayden:
Delay Selection by Spike-Timing-Dependent Plasticity in Recurrent Networks of Spiking Neurons Receiving Oscillatory Inputs. PLoS Comput. Biol. 9(2) (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
- [j40]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) - [j39]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) - [j38]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
- [j37]Jia F. Weng, Doreen A. Thomas, Iven Mareels:
Maximum Parsimony, Substitution Model, and Probability Phylogenetic Trees. J. Comput. Biol. 18(1): 67-80 (2011) - [j36]Doreen A. Thomas, Kevin Prendergast, Jia F. Weng:
Optimum steiner ratio for gradient-constrained networks connecting three points in 3-space, part II: The gradient-constraint m satisfies 1 <= m <= sqrt(3). Networks 57(4): 354-361 (2011) - [c8]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 - [c7]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
- [j35]Matthieu Gilson, Anthony N. Burkitt, David B. Grayden, Doreen A. Thomas, J. Leo van Hemmen:
Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks V: self-organization schemes and weight dependence. Biol. Cybern. 103(5): 365-386 (2010) - [j34]Doreen A. Thomas, Jia F. Weng:
Computing Steiner points for gradient-constrained minimum networks. Discret. Optim. 7(1-2): 21-31 (2010) - [j33]Marcus Brazil, Charl J. Ras, Doreen A. Thomas:
Approximating minimum Steiner point trees in Minkowski planes. Networks 56(4): 244-254 (2010) - [c6]Doreen A. Thomas, Jia F. Weng, Iven Mareels:
Corrected Statistical Distance and Probability Constrained Optimization in Reconstruction of Phylogenetic Trees. BICoB 2010: 196-201
2000 – 2009
- 2009
- [j32]Matthieu Gilson, Anthony N. Burkitt, David B. Grayden, Doreen A. Thomas, J. Leo van Hemmen:
Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks. I. Input selectivity-strengthening correlated input pathways. Biol. Cybern. 101(2): 81-102 (2009) - [j31]Matthieu Gilson, Anthony N. Burkitt, David B. Grayden, Doreen A. Thomas, J. Leo van Hemmen:
Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks. II. Input selectivity - symmetry breaking. Biol. Cybern. 101(2): 103-114 (2009) - [j30]Matthieu Gilson, Anthony N. Burkitt, David B. Grayden, Doreen A. Thomas, J. Leo van Hemmen:
Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks III: Partially connected neurons driven by spontaneous activity. Biol. Cybern. 101(5-6): 411-426 (2009) - [j29]Matthieu Gilson, Anthony N. Burkitt, David B. Grayden, Doreen A. Thomas, J. Leo van Hemmen:
Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks IV. Biol. Cybern. 101(5-6): 427-444 (2009) - [j28]Jia F. Weng, Doreen A. Thomas, Iven Mareels:
Identifying Steiner Minimal Trees on Four Points in Space. Discret. Math. Algorithms Appl. 1(3): 401-412 (2009) - [j27]Jia F. Weng, Iven Mareels, Doreen A. Thomas:
Computing Steiner Points and Probability Steiner Points in ℓ1 and ℓ2 Metric Spaces. Discret. Math. Algorithms Appl. 1(4): 541-554 (2009) - [j26]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) - [j25]Kevin Prendergast, Doreen A. Thomas, Jia F. Weng:
Optimum Steiner ratio for gradient-constrained networks connecting three points in 3-space, part I. Networks 53(2): 212-220 (2009) - 2008
- [j24]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) - [j23]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) - 2007
- [j22]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) - [j21]Marcus Brazil, Doreen A. Thomas:
Network optimization for the design of underground mines. Networks 49(1): 40-50 (2007) - [c5]Matthieu Gilson, David B. Grayden, J. Leo van Hemmen, Doreen A. Thomas, Anthony N. Burkitt:
Spike-Timing Dependent Plasticity in Recurrently Connected Networks with Fixed External Inputs. ICONIP (1) 2007: 102-111 - [c4]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 - [c3]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
- [j20]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) - [j19]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
Locally minimal uniformly oriented shortest networks. Discret. Appl. Math. 154(18): 2545-2564 (2006) - [j18]Doreen A. Thomas, Jia F. Weng:
Minimum cost flow-dependent communication networks. Networks 48(1): 39-46 (2006) - 2002
- [j17]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
- [j16]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) - [j15]J. Hyam Rubinstein, Doreen A. Thomas, Nicholas C. Wormald:
A polynomial algorithm for a constrained traveling salesman problem. Networks 38(2): 68-75 (2001) - 2000
- [j14]Marcus Brazil, Doreen A. Thomas, Jia F. Weng:
On the Complexity of the Steiner Problem. J. Comb. Optim. 4(2): 187-195 (2000) - [j13]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
- [j12]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
- [j11]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) - [j10]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) - [j9]J. Hyam Rubinstein, Doreen A. Thomas, Nicholas C. Wormald:
Steiner Trees for Terminals Constrained to Curves. SIAM J. Discret. Math. 10(1): 1-17 (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
- [j8]Doreen A. Thomas:
Critical points for the Steiner ratio. Australas. J Comb. 13: 259-282 (1996) - [j7]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) - 1993
- [j6]Doreen A. Thomas, J. Hyam Rubinstein, T. Cole:
The Steiner Minimal Network for Convex Configurations. Discret. Comput. Geom. 9: 323-333 (1993) - 1992
- [j5]J. Hyam Rubinstein, Doreen A. Thomas:
Graham's Problem on Shortest Networks for Points on a Circle. Algorithmica 7(2&3): 193-218 (1992) - [j4]J. Hyam Rubinstein, Doreen A. Thomas:
The Steiner Ration Conjecture for Cocircular Points. Discret. Comput. Geom. 7: 77-86 (1992) - [j3]J. Hyam Rubinstein, Doreen A. Thomas, Jia F. Weng:
Degree-five Steiner points cannot reduce network costs for planar sets. Networks 22(6): 531-537 (1992) - 1991
- [j2]J. Hyam Rubinstein, Doreen A. Thomas:
A variational approach to the Steiner network problem. Ann. Oper. Res. 33(6): 481-499 (1991) - [j1]J. Hyam Rubinstein, Doreen A. Thomas:
The Steiner ratio conjecture for six points. J. Comb. Theory A 58(1): 54-77 (1991)
Coauthor Index
Marcus Brazil
aka: Marcus N. Brazil
aka: Marcus N. Brazil
[j75] [j74] [j73] [j72] [j71] [j70] [j69] [j68] [j67] [j66] [j65] [j64] [i10] [j63] [j62] [j61] [i9] [i8] [j60] [j59] [j58] [c11] [j56] [j55] [j54] [j53] [j52] [j51] [j50] [c10] [j49] [j48] [j47] [j46] [c9] [j44] [j43] [j42] [i7] [i6] [j40] [j39] [j38] [i5] [c8] [c7] [i4] [i3] [i2] [i1] [j33] [j26] [j24] [j23] [j22] [j21] [c4] [c3] [j20] [j19] [j17] [j16] [j14] [j13] [j12] [j11] [j10] [c2] [c1] [j7]
Joachim Hyam Rubinstein
aka: J. Hyam Rubinstein
aka: J. Hyam Rubinstein
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