8 search results - page 1 / 2 » A Bijection on Dyck Paths and its Cycle Structure |
COMBINATORICS
2007
13 years 11 months ago
2007
The known bijections on Dyck paths are either involutions or have notoriously intractable cycle structure. Here we present a size-preserving bijection on Dyck paths whose cycle st...
EJC
2008
13 years 11 months ago
2008
We introduce a notion of Dyck paths with coloured ascents. For several ways of colouring, when the set of colours is itself some class of lattice paths, we establish bijections be...
DM
2006
13 years 11 months ago
2006
We complete the enumeration of Dumont permutations of the second kind avoiding a pattern of length 4 which is itself a Dumont permutation of the second kind. We also consider some ...
TPDS
2008
13 years 10 months ago
2008
Abstract-- Broadcast-based Peer-to-Peer (P2P) networks, including flat (e.g., Gnutella) and two-layer super-peer implementations (e.g., Kazaa), are extremely popular nowadays due t...
COMPGEOM
2010
ACM
14 years 4 months ago
2010
ACM
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...