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Abif Arad algorithm analysis angle anisotropic arcs area served assume assumption branch center xQ compute configuration conformal mapping consider constant density construction cost continuous demand cost of transport cost parameters curvature curve decreasing denote density q depend derived detour factor direct transport discrete disk distance Euclidean distance Figure flow freight function given hence hexagons holds isotropic LAUNHARDT Law of Junction length location theory logarithmic spirals minimum network location network problem network radials networks of radial NP-complete number of radial optimal network optimally located optimum number polar coordinates population density r q dr r q(r R-pattern radial lines radius regular polygon road networks routing Section sector simple bifurcation siny site x solution source density STEINER point STEINER problem Steiner trees straight line straight network lines surface lines Theorem tion total cost traffic transfer cost transport divides transportation area transportation network Transportation Sci tt/y urban vertex vertices yields