### Complete Bibliography

#### Works connected to ~~Doreen A. Thomas~~

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The Steiner problem of shortest networks, 1988. From unpublished proceedings of the third Australian teletraffic research seminar (Melbourne, November 1988). misc

:Minimal cost networks in the plane, 1989. From unpublished proceedings of the fourth Australian teletraffic research seminar (Bond University, Robina, Australia, December 1989). misc

:A variational approach to the Steiner network problem,” Ann. Oper. Res. 33 : 6 (1991), pp. 481–499. MR 1140992 Zbl 0734.05040 article

: “The Steiner ratio conjecture for six points,” J. Comb. Theory, Ser. A 58 : 1 (September 1991), pp. 54–77. MR 1119701 Zbl 0739.05034 article

: “Degree-five Steiner points cannot reduce network costs for planar sets,” Networks 22 : 6 (1992), pp. 531–537. MR 1178862 Zbl 0774.05032 article

: “The Steiner ratio conjecture for cocircular points,” Discrete Comput. Geom. 7 : 1 (1992), pp. 77–86. MR 1134454 Zbl 0774.05031 article

: “Graham’s problem on shortest networks for points on a circle,” pp. 193–218 in The Steiner problem, published as Algorithmica 7 : 2–3. Issue edited by F. K. Hwang. 1992. MR 1146495 Zbl 0748.05051 incollection

: “Algorithms for constrained networks, 1992. From unpublished proceedings of the seventh Australian teletraffic research seminar (Mannum, Australia, November 1992). misc

:The Steiner minimal network for convex configurations,” Discrete Comput. Geom. 9 : 3 (1993), pp. 323–333. MR 1204786 Zbl 0774.05033 article

: “Minimal Steiner trees for __\( 2^k\times 2^k \)__ square lattices,”
J. Comb. Theory, Ser. A
73 : 1
(1996),
pp. 91–110.
MR
1367609
Zbl
0844.05036
article

Full minimal Steiner trees on lattice sets,” J. Combin. Theory Ser. A 78 : 1 (April 1997), pp. 51–91. MR 1439632 Zbl 0874.05018 article

: “Steiner trees for terminals constrained to curves,” SIAM J. Discrete Math. 10 : 1 (1997), pp. 1–17. MR 1430542 Zbl 0869.05023 article

: “Minimal Steiner trees for rectangular arrays of lattice points,” J. Comb. Theory, Ser. A 79 : 2 (August 1997), pp. 181–208. MR 1462554 Zbl 0883.05038 article

: “Shortest networks on spheres,” pp. 453–461 in Network design: Connectivity and facilities location (Princeton, NJ, 28–30 April 1997). Edited by P. M. Pardalos and D.-Z. Du. DIMACS Series in Discrete Mathematics and Theoretical Computer Science 40. American Mathematical Society (Providence, RI), 1998. MR 1613017 Zbl 0915.05043 incollection

: “Modelling and optimisation of a weighted network in an underground mine design, 2001. From unpublished proceedings of the third international conference on control theory and applications (Pretoria, South Africa, 12–14 December 2001). misc

:A polynomial algorithm for a constrained traveling salesman problem,” Networks 38 : 2 (September 2001), pp. 68–75. MR 1852365 Zbl 0990.90102 article

: “Gradient-constrained minimum networks, I: Fundamentals,”
J. Glob. Optim.
21 : 2
(2001),
pp. 139–155.
Part III was published in *J. Optim. Theory Appl.* **155**:1 (2012). Rubinstein was not a co-author of part II.
MR
1863330
Zbl
1068.90605
article

Minimum networks for four points in space,” Geom. Dedicata 93 : 1 (2002), pp. 57–70. MR 1934686 Zbl 1009.05042 article

: “A network model to optimise cost in underground mine design,” Trans. S. Afr. Inst. Electr. Eng. 93 : 2 (2002), pp. 97–103. article

: “Optimising declines in underground mines,” Mining Tech. 112 : 3 (2003), pp. 164–170. article

: “Cost optimisation for underground mining networks,” Optim. Eng. 6 : 2 (2005), pp. 241–256. MR 2136609 Zbl 1093.90067 article

: “Optimisation in the design of underground mine access,” pp. 121–124 in Orebody modelling and strategic mine planning: Uncertainty and risk management models. Edited by R. Dimitrakopoulos. Spectrum Series 14. Australasian Institute of Mining and Metallurgy (Melbourne), 2005. incollection

: “Decline design in underground mines using constrained path optimisation,” Mining Tech. 117 : 2 (2008), pp. 93–99. article

: “Constrained path optimisation for underground mine layout,” pp. 856–861 in Proceedings of the World Congress on Engineering 2007 (Imperial College, London, 2–4 July 2007), vol. II. Edited by S. I. Ao, L. Gelman, D. Hukins, A. Hunter, and A. M. Korsunsky. Lecture Notes in Engineering and Computer Science 2166. Newswood Limited (Hong Kong), 2008. incollection

: “Curvature-constrained directional-cost paths in the plane,” J. Glob. Optim. 53 : 4 (2012), pp. 663–681. MR 2944057 Zbl 06117793 article

: “Gradient-constrained minimum networks, III: Fixed topology,”
J. Optim. Theory Appl.
155 : 1
(2012),
pp. 336–354.
Part I was published in *J. Glob. Optim.* **21**:2 (2001). Rubinstein was not a co-author of part II.
MR
2983123
Zbl
1255.90120
article