Monday, April 8, 2013

1304.1675 (Yuriy V. Pershin et al.)

Self-organization and solution of shortest-path optimization problems
with memristive networks

Yuriy V. Pershin, Massimiliano Di Ventra
We show that memristive networks-namely networks of resistors with memory-can efficiently solve shortest-path optimization problems. Indeed, the presence of memory (time non-locality) promotes self organization of the network into the shortest possible path(s). We introduce a network entropy function to characterize the self-organized evolution, show the solution of the shortest-path problem and demonstrate the healing property of the solution path. Finally, we provide an algorithm to solve the traveling salesman problem. Similar considerations apply to networks of memcapacitors and meminductors, and networks with memory in various dimensions.
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