24 citations · 26 across the 9 of their papers we have counts for
9 papers
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…
A phase transition in energy-filtered RNA secondary structures
Hillary S. W. Han, Christian M. Reidys
In this paper we study the effect of energy parameters on minimum free energy (mfe) RNA secondary structures. Employing a simplified combinatorial energy model, that is only depend…
Combinatorics of -structures
Hillary S. W. Han, Thomas J. X. Li, Christian M. Reidys
In this paper we study canonical -structures, a class of RNA pseudoknot structures that plays a key role in the context of polynomial time folding of RNA pseudoknot structures.…
The 5'-3' distance of RNA secondary structures
Hillary S. W. Han, Christian M. Reidys
Recently Yoffe {\it et al.} observed that the average distances between ends of RNA molecules are very small and largely independent of sequence length. This observation is…