Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A lower bound for general t-stack sortable permutations via pattern avoidance
View through CrossRef
There is no formula for general t-stack sortable permutations. Thus, we attempt to study them by establishing lower and upper bounds. Permutations that avoid certain pattern sets provide natural lower bounds. This paper presents a recurrence relation that counts the number of permutations that avoid the set (23451,24351,32451,34251,42351,43251). This establishes a lower bound on 3-stack sortable permutations. Additionally, the proof generalizes to provide lower bounds for all t-stack sortable permutations.
University of Florida George A Smathers Libraries
Title: A lower bound for general t-stack sortable permutations via pattern avoidance
Description:
There is no formula for general t-stack sortable permutations.
Thus, we attempt to study them by establishing lower and upper bounds.
Permutations that avoid certain pattern sets provide natural lower bounds.
This paper presents a recurrence relation that counts the number of permutations that avoid the set (23451,24351,32451,34251,42351,43251).
This establishes a lower bound on 3-stack sortable permutations.
Additionally, the proof generalizes to provide lower bounds for all t-stack sortable permutations.
Related Results
Thermal Effects in High Compactness CEA Stack
Thermal Effects in High Compactness CEA Stack
Thermal management is a pivotal aspect of stack durability and system operability. Consequently, understanding the thermal mapping within a stack based on its operating conditions ...
(Invited) PEM Water Electrolysis Stack Development and Related Characterization Tools
(Invited) PEM Water Electrolysis Stack Development and Related Characterization Tools
For decades, proton-exchange membrane (PEM) water electrolysis (WE) has been mainly used for oxygen generation in anaerobic environments. Over the past two decades, however, it has...
Pre-Stack Detailed Frequency Variation Study and Application in Complex Sandstone Reservoir Hydrocarbon Detection
Pre-Stack Detailed Frequency Variation Study and Application in Complex Sandstone Reservoir Hydrocarbon Detection
Bohai oilfield is an important offshore oil and gas producing area in China. The fluvial sandstone reservoir is an important production series, which accounts for about 45% in the ...
How Does Psilocybin Therapy Work? an Exploration of Experiential Avoidance as a Putative Mechanism of Change
How Does Psilocybin Therapy Work? an Exploration of Experiential Avoidance as a Putative Mechanism of Change
Although psilocybin therapy is currently receiving attention as a novel intervention for a wide range of mental health concerns, limited research has examined the underlying psycho...
METHODS FOR CONSTRUCTING PERMUTATIONS OF AN ARBITRARY FINITE FIELD AND THEIR LINEAR CHARACTERISTICS
METHODS FOR CONSTRUCTING PERMUTATIONS OF AN ARBITRARY FINITE FIELD AND THEIR LINEAR CHARACTERISTICS
Permutations in a finite field (bijective transformations) are actively studied in many applications, including in information security theory. Permutations are often used as eleme...
Avoiding at all costs? An exploration of avoidance costs in a novel Virtual Reality procedure
Avoiding at all costs? An exploration of avoidance costs in a novel Virtual Reality procedure
Approach-avoidance behaviours play a major role in the development and maintenance of anxiety disorders as repeated avoidance behaviours are assumed to prevent fear extinction. App...
Hopf Algebra of Sashes
Hopf Algebra of Sashes
A general lattice theoretic construction of Reading constructs Hopf subalgebras of the Malvenuto-Reutenauer Hopf algebra (MR) of permutations. The products and coproducts of these ...
Towards Full-Stack Scale Simulation of PEFC System Transient Control
Towards Full-Stack Scale Simulation of PEFC System Transient Control
Overview
We will show results of computer simulations on full-stack scale behavior of the PEFC stack system, which also take into account models of auxiliary system...