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The Steiner Ratio Gilbert–Pollak Conjecture Is Still Open

✍ Scribed by A. O. Ivanov; A. A. Tuzhilin


Book ID
106149198
Publisher
Springer
Year
2011
Tongue
English
Weight
172 KB
Volume
62
Category
Article
ISSN
0178-4617

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Disproofs of Generalized Gilbert–Pollak
✍ Ding-Zhu Du; Warren D. Smith 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 389 KB

The Gilbert Pollak conjecture, posed in 1968, was the most important conjecture in the area of ``Steiner trees.'' The ``Steiner minimal tree'' (SMT) of a point set P is the shortest network of ``wires'' which will suffice to ``electrically'' interconnect P. The ``minimum spanning tree'' (MST) is the