𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Combinatorial Statistics on Alternating Permutations

✍ Scribed by Serge Dulucq; Rodica Simion


Book ID
110266302
Publisher
Springer
Year
1998
Tongue
English
Weight
190 KB
Volume
8
Category
Article
ISSN
0925-9899

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On pattern avoiding alternating permutat
✍ Chen, Joanna N.; Chen, William Y.C.; Zhou, Robin D.P. πŸ“‚ Article πŸ“… 2014 πŸ› Elsevier Science 🌐 English βš– 461 KB
Partition statistics on permutations
✍ Paul H. Edelman; Rodica Simion; Dennis White πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 336 KB

Edelman, P.H., R. Simion and D. White, Partition statistics on permutations, Discrete Mathematics 99 (1992) 63-68. We describe some properties of a new statistic on permutations. This statistic is closely related to a well-known statistic on set partitions. In [7] four statistics on set partitions

Statistics on pairs of permutations
✍ Jean-Marc Fedou; Don Rawlings πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 794 KB

were the first to consider statistics on pairs of permutations. Their primary achievement was to count permutation pairs (unrestricted) by common rises. We extend their work by giving recurrence relationships for permutation pairs (unrestricted and restricted) by common rises, inversion number of ea

New Euler–Mahonian Statistics on Permuta
✍ Robert J Clarke; Einar Steingrı́msson; Jiang Zeng πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 338 KB

We define new Mahonian statistics, called MAD, MAK, and ENV, on words. Of these, ENV is shown to equal the classical INV, that is, the number of inversions, while for permutations MAK has been already defined by Foata and Zeilberger. It Ε½ . Ε½ . is shown that the triple statistics des, MAK, MAD and e