"Regular Graph" is like these...
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regular graph  striated space.
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on regular lattices reaction-diffusion processes [e.g. related to desease or information propagation] can give rise to patterns often characterized by spiral waves (Winfree, 1974, 2000)
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A theorem by Nash-Williams says that every kâregular graph on 2k + 1 vertices has a Hamiltonian cycle.
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a 2-regular graph (graph where each vertex has two edges) consists of disconnected cycles
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collaborative processes are more likely to arise in regular graphs
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