Partially ordered generalized patterns and their combinatorial interpretation

Alexander Burstein, Sergey Kitaev

Research output: Contribution to conferenceAbstract

Abstract

This paper is a continuation of the study of partially ordered generalized patterns (POGPs) considered in [6, 7, 8]. We provide two general approaches: one to obtain connections between restricted permutations and other combinatorial structures, and one to treat the avoidance problems for words in case of segmented patterns. The former approach is related to coding combinatorial objects in terms of restricted permutations. We provide several examples of relations of our objects to other combinatorial structures, such as labeled graphs, walks, binary vectors, and others. Also, we show how restricted permutations are related to Cartesian products of certain objects.
Original languageEnglish
Number of pages6
Publication statusPublished - Mar 2005
EventThe Third International Conference on Permutation Patterns - University of Florida, Gainesville, Florida, United States
Duration: 7 Mar 200511 Mar 2005

Conference

ConferenceThe Third International Conference on Permutation Patterns
CountryUnited States
CityGainesville, Florida
Period7/03/0511/03/05

Fingerprint

Restricted Permutation
Cartesian product
Walk
Continuation
Coding
Binary
Graph in graph theory
Interpretation
Object

Keywords

  • pattern avoidance
  • segmented patterns
  • permutations
  • labeled general graphs
  • binary vectors
  • coding

Cite this

Burstein, A., & Kitaev, S. (2005). Partially ordered generalized patterns and their combinatorial interpretation. Abstract from The Third International Conference on Permutation Patterns, Gainesville, Florida, United States.
Burstein, Alexander ; Kitaev, Sergey. / Partially ordered generalized patterns and their combinatorial interpretation. Abstract from The Third International Conference on Permutation Patterns, Gainesville, Florida, United States.6 p.
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Burstein, A & Kitaev, S 2005, 'Partially ordered generalized patterns and their combinatorial interpretation' The Third International Conference on Permutation Patterns, Gainesville, Florida, United States, 7/03/05 - 11/03/05, .

Partially ordered generalized patterns and their combinatorial interpretation. / Burstein, Alexander; Kitaev, Sergey.

2005. Abstract from The Third International Conference on Permutation Patterns, Gainesville, Florida, United States.

Research output: Contribution to conferenceAbstract

TY - CONF

T1 - Partially ordered generalized patterns and their combinatorial interpretation

AU - Burstein, Alexander

AU - Kitaev, Sergey

PY - 2005/3

Y1 - 2005/3

N2 - This paper is a continuation of the study of partially ordered generalized patterns (POGPs) considered in [6, 7, 8]. We provide two general approaches: one to obtain connections between restricted permutations and other combinatorial structures, and one to treat the avoidance problems for words in case of segmented patterns. The former approach is related to coding combinatorial objects in terms of restricted permutations. We provide several examples of relations of our objects to other combinatorial structures, such as labeled graphs, walks, binary vectors, and others. Also, we show how restricted permutations are related to Cartesian products of certain objects.

AB - This paper is a continuation of the study of partially ordered generalized patterns (POGPs) considered in [6, 7, 8]. We provide two general approaches: one to obtain connections between restricted permutations and other combinatorial structures, and one to treat the avoidance problems for words in case of segmented patterns. The former approach is related to coding combinatorial objects in terms of restricted permutations. We provide several examples of relations of our objects to other combinatorial structures, such as labeled graphs, walks, binary vectors, and others. Also, we show how restricted permutations are related to Cartesian products of certain objects.

KW - pattern avoidance

KW - segmented patterns

KW - permutations

KW - labeled general graphs

KW - binary vectors

KW - coding

UR - http://math.haifa.ac.il/toufik/conf_2005/talkspp05.html

M3 - Abstract

ER -

Burstein A, Kitaev S. Partially ordered generalized patterns and their combinatorial interpretation. 2005. Abstract from The Third International Conference on Permutation Patterns, Gainesville, Florida, United States.