An encoding of the set of two-stack-sortable permutations (TSS) in terms of lattice paths and ordered lists of strings is obtained. These lattice paths are called Raney paths. The encoding yields combinatorial decompositions for two complementary subsets of TSS, which are the analogues of previously
Permutations with forbidden subsequences and nonseparable planar maps
โ Scribed by S. Dulucq; S. Gire; J. West
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 823 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Solving the first nonmonotonic, longer-than-three instance of a classic enumeration problem, we obtain the generating function H(x) of all 1342-avoiding permutations of length n as well as an exact formula for their number S n (1342). While achieving this, we bijectively prove that the number of ind
## Abstract Let ${\cal C}$ be a family of __n__ compact connected sets in the plane, whose intersection graph $G({\cal C})$ has no complete bipartite subgraph with __k__ vertices in each of its classes. Then $G({\cal C})$ has at most __n__ times a polylogarithmic number of edges, where the exponent
## Abstract We improve some old results concerning the numbers of such edges and faces in planar graphs having minimal degree 5 which are incident only to vertices of minor degrees.
In this paper, the existence and availability of computer programs to constructively enumerate all simple connected cubic or quartic planar maps with prescribed number of vertices and face degrees is announced and results of the programs are presented. The underlying algorithms of the computer progr