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Nowadays, graph symmetries are becoming a very important and rapidly growing area of study, and often looked at closely by computer scientists and other network designers. One significant instance of ...
Fastest mixing Markov chain on graphs with symmetries
Markov chains fast mixing eigenvalue optimization semidefi nite programming graph automorphism group representation
2015/8/10
We show how to exploit symmetries of a graph to efficiently compute the fastest mixing Markov chain on the graph (i.e., find the transition probabilities on the edges to minimize the second-largest ei...
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
Lotka-Volterra system reaction-diffusion system Lie symmetry
2011/2/28
Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant no...
Symmetries, weak symmetries and related solutions of the Grad-Shafranov equation
Symmetries weak symmetries related solutions Grad-Shafranov equation
2011/1/19
We discuss a new family of solutions of the Grad–Shafranov GS equation that describes D-shaped to roidal plasma equilibria with sharp gradients at the plasma edge. These solutions have been derived ...