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- W2034971340 abstract "For a finite set of points in a metric space a Steiner Minimal Tree (SMT) is a shortest tree which interconnects these points. We also consider a relative of this problem allowing at most k additional points in the tree ( k -SMT), where k is a given number. We intend to discuss these problems for all planes with p -norm, i.e. the affine plane with norm |( t 1 , t 2 )| p = (| t 1 | p + | t 2 | p ) 1/ p for 1 ⩽ p < ∞ and |( t 1 , t 2 ) | ∞ = max { | t 1 |, | t 2 |}. We give a survey of results for the combinatorial structure of SMT and k -SMT and show the consequences for the methods to construct such trees." @default.
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- W2034971340 date "1996-08-01" @default.
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- W2034971340 title "Steiner minimal trees in Lp2" @default.
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- W2034971340 doi "https://doi.org/10.1016/0012-365x(94)00368-s" @default.
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