### Complete Bibliography

#### Works connected to ~~Nicholas Charles Wormald~~

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 From unpublished proceedings of the seventh Australian teletraffic research seminar (Mannum, Australia, November 1992).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

: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

: “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

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

: “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

: “Approximations and lower bounds for the length of minimal Euclidean Steiner trees,” J. Glob. Optim. 35 : 4 (2006), pp. 573–592. MR 2249549 Zbl 1133.90408 article

: “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

: “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