Abstract
In this review, we present the main results related to bargraphs from the enumerative point of view. We consider several geometrically motivated statistics in combinatorial families: compositions, words, set partitions, permutations and integer partitions, when such families are presented as bargraphs. The review contains presentation of main results of each consid-ered paper. The main discussion is preceded by short historical notes. Methods used throughout the review are discussed briefly. The review includes an up-to-date bibliography.
| Original language | English |
|---|---|
| Pages (from-to) | 65-94 |
| Number of pages | 30 |
| Journal | Discrete Mathematics Letters |
| Volume | 2 |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019 the authors.
Keywords
- Bargraphs
- Compositions
- Integer partitions
- Permutations
- Set partitions
- Words
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics