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In this paper we study dynamics inspired by Physarum polycephalum (a slime mold) for solving linear programs [NTY00, IJNT11, JZ12].
A new polynomial-time algorithm for linear programming
N. Karmarkar · 1984
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Theory of Linear and Integer Programming
Alexander Schrijver · 1986
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The nonlinear geometry of linear programming. I. Affine and projective scaling trajectories
D. A. Bayer and J. C. Lagarias · 1989
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Boundary behavior of interior point algorithms in linear programming
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N. Karmarkar · 1990
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Ii dikin’s convergence result for the affine-scaling algorithm
J.C. Lagarias and Vanderbei R.J · 1990
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Convergence Properties for the Physarum Solver
K. Ito, A. Johansson, T. Nakagaki, and A. Tero · 2011
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Physarum can compute shortest paths
Vincenzo Bonifaci, Kurt Mehlhorn, and Girish Varma · 2012
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A slime mold solver for linear programming problems
Anders Johannson and James Zou · 2012
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Physarum can compute shortest paths: Convergence proofs and complexity bounds
Luca Becchetti, Vincenzo Bonifaci, Michael Dirnberger, Andreas Karrenbauer, and Kurt Mehlhorn · 2013
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Damian Straszak and Nisheeth K. Vishnoi · 2016
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