24 citations · 26 across the 9 of their papers we have counts for
3 papers · 1 filter
Uniform generation of RNA-RNA interaction structures of fixed topological genus
Benjamin Mingming Fu, Hillary Siwei Han, Christian M. Reidys
Interacting RNA complexes are studied via bicellular maps using a filtration via their topological genus. Our main result is a new bijection for RNA-RNA interaction structures and…
A bijection for tri-cellular maps
Hillary S. W. Han, Christian M. Reidys
In this paper we give a bijective proof for a relation between uni- bi- and tricellular maps of certain topological genus. While this relation can formally be obtained using Matrix…
A bijection between unicellular and bicellular maps
Hillary S. W. Han, Christian M. Reidys
In this paper we present a combinatorial proof of a relation between the generating functions of unicellular and bicellular maps. This relation is a consequence of the Schwinger-Dy…