In geometry, the Hanan grid of a finite set of points in the plane is obtained by constructing vertical and horizontal lines through each point in .
The main motivation for studying the Hanan grid stems from the fact that it is known to contain a minimum length rectilinear Steiner tree for .Martin Zachariasen, A Catalog of Hanan Grid Problems Networks, vol. 38, 2000, pp. 200-221 It is named after Maurice Hanan, who was firstChristine R. Leverenz, Miroslaw Truszczynski, The Rectilinear Steiner Tree Problem: Algorithms and Examples using Permutations of the Terminal Set, 1999 ACM Southeast Regional Conference, 1999, to investigate the rectilinear Steiner minimum tree and introduced this graph.M. Hanan, On Steiner's problem with rectilinear distance , J. SIAM Appl. Math. 14 (1966), 255 - 265.
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