Counting small permutation patterns

C Even-Zohar, C Leng - Proceedings of the 2021 ACM-SIAM Symposium on …, 2021 - SIAM
A sample of n generic points in the xy-plane defines a permutation that relates their ranks
along the two axes. Every subset of k points similarly defines a pattern, which occurs in that …

Combinatorial generation via permutation languages

E Hartung, HP Hoang, T Mütze, A Williams - Proceedings of the Fourteenth …, 2020 - SIAM
In this work we present a general and versatile algorithmic framework for exhaustively
generating a large variety of different combinatorial objects, based on encoding them as …

Combinatorial generation via permutation languages. I. Fundamentals

E Hartung, H Hoang, T Mütze, A Williams - Transactions of the American …, 2022 - ams.org
In this work we present a general and versatile algorithmic framework for exhaustively
generating a large variety of different combinatorial objects, based on encoding them as …

Finding and counting permutations via CSPs

BA Berendsohn, L Kozma, D Marx - Algorithmica, 2021 - Springer
Permutation patterns and pattern avoidance have been intensively studied in combinatorics
and computer science, going back at least to the seminal work of Knuth on stack-sorting …

The Complexity of Pattern Matching for -Avoiding and Skew-Merged Permutations

MH Albert, ML Lackner, M Lackner… - Discrete Mathematics …, 2016 - dmtcs.episciences.org
The Permutation Pattern Matching problem, asking whether a pattern permutation π is
contained in a permutation τ, is known to be NP-complete. In this paper we present two …

Structural and algorithmic aspects of (multiple) interval graphs

VA Martinez - 2024 - theses.hal.science
Multiple interval graphs are a well-known generalization of interval graphs, where each
vertex of a graph is represented by a d-interval (the union of d intervals) for some natural …

Faster exponential algorithm for permutation pattern matching

P Gawrychowski, M Rzepecki - Symposium on Simplicity in Algorithms (SOSA), 2022 - SIAM
Abstract The Permutation Pattern Matching problem asks, given two permutations σ on n
elements and π, whether σ admits a subsequence with the same relative order as π (or, in …

Approximate counting of permutation patterns

O Ben-Eliezer, S Mitrović, P Srivastava - arXiv preprint arXiv:2411.04718, 2024 - arxiv.org
We consider the problem of counting the copies of a length-$ k $ pattern $\sigma $ in a
sequence $ f\colon [n]\to\mathbb {R} $, where a copy is a subset of indices $ i_1<\ldots< …

[PDF][PDF] Complexity of permutation pattern matching

BA Berendsohn - 2019 - mi.fu-berlin.de
Permutation pattern matching (PPM) is the problem of determining whether a permutation π
is contained in another permutation τ, ie τ has a subsequence that is order-isomorphic to π …

Permutation pattern matching for doubly partially ordered patterns

L Bulteau, G Fertin, V Jugé, S Vialette - 33rd Annual Symposium on …, 2022 - hal.science
We study in this paper the Doubly Partially Ordered Pattern Matching (or DPOP Matching)
problem, a natural extension of the Permutation Pattern Matching problem. Permutation …