RANDOM PLANAR GRAPHS AND THE NUMBER OF PLANAR GRAPHS
RANDOM PLANAR GRAPHS AND THE NUMBER OF PLANAR GRAPHS
This chapter surveys recent progress on the enumeration of labelled planar graphs and on the distribution of several parameters in random planar graphs. It shows how to use generating functions to obtain asymptotic estimates and limit probability laws. Emphasis is made on presenting the main ideas while keeping technical details to a minimum.
Keywords: planar graphs, generating functions, asymptotic estimates, limit probability laws
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