Skip navigation


  • DSpace logo
  • Home
  • Collections
  • Researcher Profile
  • Explore by
    • Researcher Profile
  • VGU library
  • Help
  • User Guide
  • Sign on to:
    • My DSpace
    • Receive email
      updates
    • Edit Account details

VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/93
Title: Exhaustive generation for permutations avoiding (colored) regular sets of patterns
Authors: Phan Thuan Do 
Tran Thi Thu Huong 
Vincent Vajnovszki 
Keywords: Pattern avoiding permutation;Right-justified forbidden pattern;Exhaustive generating algorithm;Succession function;ECO method
Issue Date: 2019
Publisher: Elsevier
Series/Report no.: Discrete Applied Mathematics;Vol. 268
Abstract: 
Despite the fact that the field of pattern avoiding permutations has been skyrocketing over the last two decades, there are very few exhaustive generating algorithms for such classes of permutations. In this paper we introduce the notions of regular and colored regular set of forbidden patterns, which are particular cases of right-justified sets of forbidden patterns. We show the (colored) regularity of several sets of forbidden patterns (some of them involving variable length patterns) and we derive a general framework for the efficient generation of permutations avoiding them. The obtained generating algorithms are based on succession functions, a notion which is a byproduct of the ECO method introduced in the context of enumeration and random generation of combinatorial objects. For some classes of permutations falling under our general framework, the corresponding counting sequences are classical in combinatorics, such as Pell, Fibonacci, Catalan, Schröder and binomial transform of Padovan sequence. 44-53
Index & Ranking: SCI (Q2)
URI(1): http://epub.vgu.edu.vn/handle/dlibvgu/93
DOI: 10.1016/j.dam.2019.04.014
Appears in Collections:ARTICLE/BOOK PUBLICATION

Show full item record

Page view(s)

42
checked on Aug 23, 2025

Google ScholarTM

Check

Altmetric

Altmetric


Items are protected by © Copyright of Vietnamese - German University Library

© Copyright 2020 by Vietnamese - German University Library.
Add: Ring road 4, Quarter 4, Thoi Hoa Ward, Ben Cat City, Binh Duong Province
Tel.:(0274) 222 0990. Ext.: 70206