Sequential dynamical systems with threshold functions.

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A sequential dynamical system (SDS) (see [BH+01] and the references therein) consists of an undirected graph G(V,E) where each node {nu} {epsilon} V is associated with a Boolean state (s{sub {nu}}) and a symmetric Boolean function f{sub {nu}} (called the local transition function at {nu}). The inputs to f{sub {nu}} are s{sub {nu}} and the states of all the nodes adjacent to {nu}. In each step of the SDS, the nodes update their state values using their local transition functions in the order specified by a given permutation {pi} of the nodes. A configuration of the SDS is an n-tuple ... continued below

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3 p.

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Barrett, C. L. (Christopher L.); Hunt, H. B.; Marathe, M. V. (Madhav V.); Ravi, S. S.; Rosenkrantz, D. J. (Daniel J.) & Stearns, R. E. (Richard E.) January 1, 2001.

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Description

A sequential dynamical system (SDS) (see [BH+01] and the references therein) consists of an undirected graph G(V,E) where each node {nu} {epsilon} V is associated with a Boolean state (s{sub {nu}}) and a symmetric Boolean function f{sub {nu}} (called the local transition function at {nu}). The inputs to f{sub {nu}} are s{sub {nu}} and the states of all the nodes adjacent to {nu}. In each step of the SDS, the nodes update their state values using their local transition functions in the order specified by a given permutation {pi} of the nodes. A configuration of the SDS is an n-tuple (b{sub 1}, b{sub 2}...,b{sub n}) where n = |V| and b{sub i} {epsilon} {l_brace}0,1{r_brace} is the state value of node {nu}{sub i}. The system starts in a specified initial configuration and each step of the SDS produces a (possibly new) configuration.

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3 p.

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  • Submitted to: ACM-SIAM Symposium on Discrete Algorithms (SODA 02) San Fransisco, CA, January 2002

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  • Report No.: LA-UR-01-4696
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 975700
  • Archival Resource Key: ark:/67531/metadc929662

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  • January 1, 2001

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 6:17 p.m.

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Barrett, C. L. (Christopher L.); Hunt, H. B.; Marathe, M. V. (Madhav V.); Ravi, S. S.; Rosenkrantz, D. J. (Daniel J.) & Stearns, R. E. (Richard E.). Sequential dynamical systems with threshold functions., article, January 1, 2001; United States. (digital.library.unt.edu/ark:/67531/metadc929662/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.