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J. Hyam Rubinstein

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Works connected to Jia F. Weng

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J. H. Ru­bin­stein, D. A. Thomas, and J. F. Weng: “De­gree-five Stein­er points can­not re­duce net­work costs for planar sets,” Net­works 22 : 6 (1992), pp. 531–​537. MR 1178862 Zbl 0774.​05032 article

M. Brazil, T. Cole, J. H. Ru­bin­stein, D. A. Thomas, J. F. Weng, and N. C. Wormald: “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

M. Brazil, J. H. Ru­bin­stein, D. A. Thomas, J. F. Weng, and N. C. Wormald: “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

J. H. Ru­bin­stein and J. F. Weng: “Com­pres­sion the­or­ems and Stein­er ra­tios on spheres,” J. Comb. Op­tim. 1 : 1 (1997), pp. 67–​78. MR 1606181 Zbl 0895.​90173 article

M. Brazil, J. H. Ru­bin­stein, D. A. Thomas, J. F. Weng, and N. C. Wormald: “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

M. Brazil, J. H. Ru­bin­stein, D. A. Thomas, J. F. Weng, and N. C. Wormald: “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

J. F. Weng and J. H. Ru­bin­stein: “A note on the com­pres­sion the­or­em for con­vex sur­faces,” pp. 257–​260 in Com­bin­at­or­ics and ap­plic­a­tions (Tianjin, China, 28–30 June 1996), published as Dis­crete Math. 212 : 3. Issue edi­ted by W. Y. C. Chen, D.-Z. Du, F. D. Hsu, and H. P. Yap. February 2000. MR 1748655 Zbl 0986.​90047 incollection

M. Brazil, J. H. Ru­bin­stein, D. A. Thomas, and J. F. Weng: 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

M. Brazil, J. H. Ru­bin­stein, D. A. Thomas, J. F. Weng, and N. C. Wormald: “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

J. H. Ru­bin­stein, D. A. Thomas, and J. Weng: “Min­im­um net­works for four points in space,” Geom. Ded­icata 93 : 1 (2002), pp. 57–​70. MR 1934686 Zbl 1009.​05042 article

M. Brazil, D. Lee, J. H. Ru­bin­stein, D. A. Thomas, J. F. Weng, and N. C. Wormald: “A net­work mod­el to op­tim­ise cost in un­der­ground mine design,” Trans. S. Afr. Inst. Elec­tr. Eng. 93 : 2 (2002), pp. 97–​103. article

M. Brazil, D. A. Thomas, J. F. Weng, J. H. Ru­bin­stein, and D. H. Lee: “Cost op­tim­isa­tion for un­der­ground min­ing net­works,” Op­tim. Eng. 6 : 2 (2005), pp. 241–​256. MR 2136609 Zbl 1093.​90067 article

M. Brazil, D. Lee, J. H. Ru­bin­stein, D. A. Thomas, J. F. Weng, and N. C. Wormald: “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

J. H. Ru­bin­stein, J. Weng, and N. Wormald: “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

M. Brazil, J. H. Ru­bin­stein, D. A. Thomas, J. F. Weng, and N. Wormald: “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