Geometric Steiner minimal trees

Geometric Steiner minimal trees

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In 1992 Du and Hwang published a paper confirming the correctness of a well known 1968 conjecture of Gilbert and Pollak suggesting that the Euclidean Steiner ratio for the plane is 2/3. The original objective of this thesis was to adapt the technique used in this proof to obtain results for other...

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Bibliographic Details
Main Author: De Wet, Pieter Oloff
Other Authors: Swanepoel, K. J.
Format: Others
Language:en
Published: 2009
Subjects:
Minkowski space
Spanning tree
Minimum spanning tree
Steiner tree
Steiner minimal tree
Steiner ratio
Rectilinear tree
Hexagonal tree
Surface
Inner spanning tree
Inner Steiner tree
512.55
Steiner systems
Online Access:De Wet, Pieter Oloff (2009) Geometric Steiner minimal trees, University of South Africa, Pretoria, <http://hdl.handle.net/10500/1981>
http://hdl.handle.net/10500/1981

Internet

De Wet, Pieter Oloff (2009) Geometric Steiner minimal trees, University of South Africa, Pretoria, <http://hdl.handle.net/10500/1981>
http://hdl.handle.net/10500/1981

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