17 citations · 17 across the 5 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.CO2013
Enumeration of labeled and unlabeled k-gonal and polygonal 2-trees and succulents by vertices
Andrew Gainer-Dewar
We use the theory of Γ-species to enumerate k-gonal and polygonal 2-trees with respect to their vertices. We then extend this result to enumerate "succulents", a tree-like class of…
math.CO2013★ 17 cited
Counting unlabeled k-trees
Andrew Gainer-Dewar, Ira M. Gessel
We count unlabeled k-trees by properly coloring them in k+1 colors and then counting orbits of these colorings under the action of the symmetric group on the colors.
math.CO2013
Enumeration of bipartite graphs and bipartite blocks
Andrew Gainer-Dewar, Ira M. Gessel
Using the theory of combinatorial species, we compute the cycle index for bipartite graphs, which we use to count unlabeled bipartite graphs and bipartite blocks.