D. A. Thomas

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All published works

Action	Title	Year	Authors
+ PDF Chat	Computing Skeletons for Rectilinearly Convex Obstacles in the Rectilinear Plane	2020	Marcus Volz Marcus Brazil Charl Ras D. A. Thomas
+	Computing skeletons for rectilinearly-convex obstacles in the rectilinear plane	2020	Marcus Volz Marcus Brazil Charl Ras D. A. Thomas
+	Computing skeletons for rectilinearly-convex obstacles in the rectilinear plane	2020	Marcus Volz Marcus Brazil Charl Ras D. A. Thomas
+ PDF Chat	The Fast Heuristic Algorithms and Post-Processing Techniques to Design Large and Low-Cost Communication Networks	2019	Yahui Sun Marcus Brazil D. A. Thomas Saman Halgamuge
+	The $2$-connected bottleneck Steiner network problem is NP-hard in any $\ell_p$ plane	2019	Marcus Brazil Charl Ras D. A. Thomas Guoqing Xu
+ PDF Chat	Minimal curvature-constrained networks	2018	David Kirszenblat Kashyapa Sirinanda Marcus Brazil Peter Grossman J Rubinstein D. A. Thomas
+ PDF Chat	Approximate Euclidean Steiner Trees	2016	Charl Ras Konrad J. Swanepoel D. A. Thomas
+	Minimal curvature-constrained networks	2016	David Kirszenblat Kashyapa Sirinanda Marcus Brazil Peter Grossman J Rubinstein D. A. Thomas
+	Minimal curvature-constrained networks	2016	David Kirszenblat Kashyapa Sirinanda Marcus Brazil Peter Z. Grossman J. Hyam Rubinstein D. A. Thomas
+	Determining the open pit to underground transition: A proposed new method	2015	David K. Whittle Marcus Brazil Peter Grossman J Rubinstein D. A. Thomas
+	Determining the open pit to underground transition: A new method	2015	David K. Whittle Marcus Brazil Peter Grossman J Rubinstein D. A. Thomas
+	Demonstrating efficiency gains from installing truck turntables at crushers	2015	Marcus Brazil Peter Grossman J Rubinstein D. A. Thomas
+ PDF Chat	A flow‐dependent quadratic steiner tree problem in the Euclidean plane	2014	Marcus Brazil Charl Ras D. A. Thomas
+ PDF Chat	A geometric characterisation of the quadratic min-power centre	2013	Marcus Brazil Charl Ras D. A. Thomas
+ PDF Chat	Relay augmentation for lifetime extension of wireless sensor networks	2013	Marcus Brazil Charl Ras D. A. Thomas
+ PDF Chat	Generalised k-Steiner Tree Problems in Normed Planes	2013	Marcus Brazil Charl Ras Konrad J. Swanepoel D. A. Thomas
+	Relay Augmentation for Lifetime Extension of Wireless Sensor Networks	2013	Marcus Brazil Charl Ras D. A. Thomas
+	Approximating Minimum Steiner Point Trees in Minkowski Planes	2013	Marcus Brazil Charl Ras D. A. Thomas
+	A geometric characterisation of the quadratic min-power centre	2013	Marcus Brazil Charl Ras D. A. Thomas
+	Relay Augmentation for Lifetime Extension of Wireless Sensor Networks	2013	Marcus Brazil Charl Ras D. A. Thomas
+	Minimum Opaque Covers for Polygonal Regions	2012	J. Scott Provan Marcus Brazil D. A. Thomas Jia Weng
+ PDF Chat	The Gilbert arborescence problem	2012	Marcus Volz Marcus Brazil Charl Ras Konrad J. Swanepoel D. A. Thomas
+	Minimum Opaque Covers for Polygonal Regions	2012	J. Scott Provan Marcus Brazil D. A. Thomas Jia Weng
+	Extendibility and path components of admissible paths for the Dubins problem	2011	Jose Ayala-Hoffmann Marcus Brazil Hyam Rubinstein D. A. Thomas
+	An exact algorithm for the bottleneck 2-connected $k$-Steiner network problem in $L_p$ planes	2011	Marcus Brazil Charl Ras D. A. Thomas
+	A Flow-dependent Quadratic Steiner Tree Problem in the Euclidean Plane	2011	Marcus Brazil Charl Ras D. A. Thomas
+	Exact algorithm for the bottleneck 2-connected $k$-Steiner network problem	2011	Marcus Brazil Charl Ras D. A. Thomas
+	The bottleneck 2-connected $k$-Steiner network problem for $k\leq 2$	2011	Marcus Brazil Charl Ras D. A. Thomas
+	An exact algorithm for the bottleneck 2-connected $k$-Steiner network problem in $L_p$ planes	2011	Marcus Brazil Charl Ras D. A. Thomas
+	A Flow-dependent Quadratic Steiner Tree Problem in the Euclidean Plane	2011	Marcus Brazil Charl Ras D. A. Thomas
+ PDF Chat	Approximating minimum Steiner point trees in Minkowski planes	2010	Marcus Brazil Charl Ras D. A. Thomas
+	Designing Optimal Flow Networks	2009	Marcus Volz Marcus Brazil Konrad J. Swanepoel D. A. Thomas
+	Quasi-indicators and optimal Steiner topologies on four points in space	2006	Jia Weng Jim Smith Marcus Brazil D. A. Thomas
+	A Homogenizable Fishy Poorset	1999	Jacinta Covington D. A. Thomas
+ PDF Chat	Shortest networks on spheres	1998	Marcus Brazil J Rubinstein D. A. Thomas Jianping Weng N. C. Wormald

Common Coauthors

Coauthor	Papers Together
Marcus Brazil	33
Charl Ras	21
J Rubinstein	6
Peter Grossman	5
Marcus Volz	5
Konrad J. Swanepoel	4
Jia Weng	3
David Kirszenblat	3
Kashyapa Sirinanda	3
J. Scott Provan	2
David K. Whittle	2
Jacinta Covington	1
Jim Smith	1
J. Hyam Rubinstein	1
Saman Halgamuge	1
Jianping Weng	1
Peter Z. Grossman	1
N. C. Wormald	1
Guoqing Xu	1
Yahui Sun	1
Hyam Rubinstein	1
Jose Ayala-Hoffmann	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Approximating minimum Steiner point trees in Minkowski planes	2010	Marcus Brazil Charl Ras D. A. Thomas	4
+ PDF Chat	Generalised k-Steiner Tree Problems in Normed Planes	2013	Marcus Brazil Charl Ras Konrad J. Swanepoel D. A. Thomas	4
+ PDF Chat	On the Problem of Steiner	1961	Z. A. Melzak	3
+ PDF Chat	The Gilbert arborescence problem	2012	Marcus Volz Marcus Brazil Charl Ras Konrad J. Swanepoel D. A. Thomas	2
+ PDF Chat	The Local Steiner Problem in Finite-Dimensional Normed Spaces	2007	Konrad J. Swanepoel	2
+ PDF Chat	The Fermat–Torricelli Problem in Normed Planes and Spaces	2002	Horst Martini Konrad J. Swanepoel G. Weiss	2
+ PDF Chat	Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms	1994	Gary Lawlor Frank Morgan	2
+	Introduction to Geometry	1969	H. S. M. Coxeter	2
+	Coprime Suborbits of Transitive Permutation Groups	1993	Peter Neumann	1
+	A counterexample to the algorithms for determining opaque minimal forests	1991	Thomas C. Shermer	1
+	The General One Center Location Problem	1995	Roland Durier	1
+	Shortest Connection Networks And Some Generalizations	1957	R. C. Prim	1
+	Geometrical properties of the Fermat-Weber problem	1985	Roland Durier Christian Michelot	1
+	Curves Intersecting Certain Sets of Great-Circles on the Sphere	1969	H. T. Croft	1
+	Geometry of Complex Numbers	1962	Hans Schwerdtfeger	1
+ PDF Chat	Duty-Cycle-Aware Minimum-Energy Multicasting in Wireless Sensor Networks	2012	Kai Han Yang Liu Jun Luo	1
+	Local convexity results in a generalized Fermat-Weber problem	1999	Jack Brimberg Robert F. Love	1
+ PDF Chat	The algebraic degree of geometric optimization problems	1988	Chanderjit Bajaj	1
+ PDF Chat	Iterative method to compute the Fermat points and Fermat distances of multiquarks	2009	Pedro Bicudo Marco Cardoso	1
+	None	2008	Julie Christophe Sophie Dewez Jean‐Paul Doignon Gilles Fasbender Philippe Grégoire David Huygens Martine Labbé Sourour Elloumi Hadrien Mélot Hande Yaman	1
+	Shortest 3-dimensional paths with a prescribed curvature bound	2002	H.J. Sussmann	1
+	A note on Johnson, Minkoff and Phillips' algorithm for the Prize-Collecting Steiner Tree Problem	2010	Paulo Feofiloff Cristina G. Fernandes Carlos Eduardo Ferreira José Coelho de Pina	1
+ PDF Chat	Regular closed curves in the plane	2012	Masahisa Adachi	1
+	The Shortest Curve that Meets all the Lines that Meet a Convex Body	1986	Vance Faber Jerzy Mycielski	1
+	On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents	1957	Lester E. Dubins	1
+	The Opaque Cube Problem	1992	Kenneth A. Brakke	1
+	The Steiner Tree Problem	2002	Hans Jürgen Prömel Angelika Steger	1
+ PDF Chat	Computing Skeletons for Rectilinearly Convex Obstacles in the Rectilinear Plane	2020	Marcus Volz Marcus Brazil Charl Ras D. A. Thomas	1
+	Induction and Analogy in Mathematics	1954	George Pólya	1
+	Steiner Minimal Trees	1998	Dietmar Cieslik	1
+	Complex Numbers from A to ... Z	2014	Titu Andreescu Dorin Andrica	1
+	Minkowski Geometry	1996	A. C. Thompson	1
+	Geometry of Complex Numbers.	1962	Howard Eves Hans Schwerdtfeger	1
+ PDF Chat	On the shortest curve which meets all the lines which meet a circle	1984	Vance Faber Jan Mycielski Paul Pedersen	1
+	Complex numbers and geometry	1994	Liang-Shin Hahn	1
+	Extendibility and path components of admissible paths for the Dubins problem	2011	Jose Ayala-Hoffmann Marcus Brazil Hyam Rubinstein D. A. Thomas	1
+	Geometric Methods and Optimization Problems	1999	V. Boltyanski Horst Martini Valeriu Soltan	1
+ PDF Chat	Homogenizable relational structures	1990	Jacinta Covington	1
+	Complex Numbers from A to ...Z	2005	Titu Andreescu Dorin Andrica	1
+	General theory of irregular curves	1989	Yu. G. Reshetnyak V. V. Alexandrov	1
+	A note on shortest paths in the plane subject to a constraint on the derivative of the curvature	1994	Jean‐Daniel Boissonnat André Cérézo Juliette Leblond	1
+ PDF Chat	Curves of Finite Total Curvature	2008	John M. Sullivan	1