41 citations · 167 across the 47 of their papers we have counts for
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Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf
James Allen Fill, Svante Janson, Mark Daniel Ward
Wilf's Sixth Unsolved Problem asks for any interesting properties of the set of partitions of integers for which the (nonzero) multiplicities of the parts are all different. We ref…
On vertex, edge, and vertex-edge random graphs
Elizabeth Beer, James Allen Fill, Svante Janson +1
We consider three classes of random graphs: edge random graphs, vertex random graphs, and vertex-edge random graphs. Edge random graphs are Erdos-Renyi random graphs, vertex random…
Singularity analysis, Hadamard products, and tree recurrences
James Allen Fill, Philippe Flajolet, Nevin Kapur
We present a toolbox for extracting asymptotic information on the coefficients of combinatorial generating functions. This toolbox notably includes a treatment of the effect of Had…