An Alternative Proof for the Expected Number of Distinct Consecutive Patterns in a Random Permutation
Let $\pi_n$ be a uniformly chosen random permutation on $[n]$. Using an analysis of the probability that two overlapping consecutive $k$-permutations are order isomorphic, the authors of a recent paper showed that the expected number of distinct consecutive patterns of all lengths $k\in\{1,2,\ldots,...
Saved in:
| Main Authors: | Anant Godbole, Hannah Swickheimer |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Discrete Mathematics & Theoretical Computer Science
2024-05-01
|
| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | http://dmtcs.episciences.org/12458/pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
A positional statistic for 1324-avoiding permutations
by: Juan B. Gil, et al.
Published: (2024-11-01) -
A logical limit law for $231$-avoiding permutations
by: Michael Albert, et al.
Published: (2024-04-01) -
A note on limits of sequences of binary trees
by: Rudolf Grübel
Published: (2023-05-01) -
Minimal toughness in special graph classes
by: Gyula Y. Katona, et al.
Published: (2023-11-01) -
The number of distinct adjacent pairs in geometrically distributed words: a probabilistic and combinatorial analysis
by: Guy Louchard, et al.
Published: (2023-10-01)