There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan--Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, incl
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Dire...
The word “pattern” is a very complex term. Generally, it refers to “an arrange- ment that reveals an...
A word is an ordered list of numbers. Specifically, a permutation is a word without repeated letters...
There has been considerable interest recently in the subject of patterns in permutations and words, ...
There has been considerable interest recently in the subject of patterns in permutations and words, ...
Abstract. The paper contains all the definitions and notations needed to understand the results conc...
Internationally recognised researchers look at developing trends in combinatorics with applications ...
Goulden and Jackson introduced a very powerful method to study the distributions ofcertain consecuti...
Goulden and Jackson introduced a very powerful method to study the distributions ofcertain consecuti...
We study the enumeration of combinatorial objects by number of occurrences of patterns and other sta...
The study of permutations and permutation statistics dates back hundreds of years to the time of Eul...
Motivated by the study of Mahonian statistics, in 2000, Babson and Steingr´ımsson introduced the not...
Motivated by the study of Mahonian statistics, in 2000, Babson and Steingr´ımsson introduced the not...
Given two permutations sigma (of length k) and pi (of length n), the permutation pi is said to conta...
This is a brief survey of some open problems on permutation patterns, with an emphasis on subjects n...
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Dire...
The word “pattern” is a very complex term. Generally, it refers to “an arrange- ment that reveals an...
A word is an ordered list of numbers. Specifically, a permutation is a word without repeated letters...
There has been considerable interest recently in the subject of patterns in permutations and words, ...
There has been considerable interest recently in the subject of patterns in permutations and words, ...
Abstract. The paper contains all the definitions and notations needed to understand the results conc...
Internationally recognised researchers look at developing trends in combinatorics with applications ...
Goulden and Jackson introduced a very powerful method to study the distributions ofcertain consecuti...
Goulden and Jackson introduced a very powerful method to study the distributions ofcertain consecuti...
We study the enumeration of combinatorial objects by number of occurrences of patterns and other sta...
The study of permutations and permutation statistics dates back hundreds of years to the time of Eul...
Motivated by the study of Mahonian statistics, in 2000, Babson and Steingr´ımsson introduced the not...
Motivated by the study of Mahonian statistics, in 2000, Babson and Steingr´ımsson introduced the not...
Given two permutations sigma (of length k) and pi (of length n), the permutation pi is said to conta...
This is a brief survey of some open problems on permutation patterns, with an emphasis on subjects n...
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Dire...
The word “pattern” is a very complex term. Generally, it refers to “an arrange- ment that reveals an...
A word is an ordered list of numbers. Specifically, a permutation is a word without repeated letters...