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Isotropic Transport to a Center
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algorithm analysis angle anisotropic arcs area served assume assumption BECKMANN branch compute configuration conformal mapping consider constant density construction cost cos(y cost parameters curvature curves decreasing denote density q depend derived detour factor direct transport discrete disk distance Euclidean distance Figure finite flow freight function given hence hexagons holds ir/n isotropic LAUNHARDT Law of Junction length location theory logarithmic spiral minimum network location network problem network radials networks of radial NP-complete number of radials optimal network optimal transport optimally located optimum number polar coordinates population density r q(r R-pattern radial lines radius regular polygon ro ro road networks routing Section sector simple bifurcation siny solution source density STEINER point STEINER problem straight line surface lines T-rays Theorem tion total cost traffic transfer cost transport divide transport line transportation area transportation network Transportation Sci trunk urban Urban Economics vertex vertices VORONOI diagrams