| Evolutionary Graph Theory |
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| CATEGORIES ABOUT EVOLUTIONARY GRAPH THEORY | |
| evolution | |
| graph theory | |
| evolutionary dynamics | |
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In evolutionary graph theory, individuals propagate from Vertex to vertex on a Graph ; fitter types propagate more readily. Evolutionary graph theory may also be studied in a dual formulation, as a Coalescing Random Walk . Closely related stochastic processes include the Voter Model , which was introduced by Clifford and Sudbury (1973) and independently by Holley and Liggett (1975), and which has been studied extensively. BIBLIOGRAPHY 1. Holley, R., and Liggett, T. ( 1975 ) Ergodic theorems for weakly interacting systems and the voter model. Ann. Prob. 4, 195–228 2. Lieberman, E., Hauert, C., and Nowak, M.A. ( 2005 ) Evolutionary dynamics on graphs. Nature. 433, 312–316 {Link without Title} 3. Liggett, T.M. ( 1999 ) Stochastic Interacting Systems: Contact, Voter and Exclusion Processes. Springer, New York 4. Clifford, P. and Sudbury, A. ( 1973 ) A model for spatial conflict. Biometrika. 60, 581–588 EXTERNAL LINKS A virtual laboratory for studying evolution on graphs: {Link without Title} |
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