Mark Shattuck

According to our database, Mark Shattuck authored at least 46 papers between 2005 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of three.

2023

Counting inversion sequences by parity successions and runs.

Toufik Mansour, Mark Shattuck

Discret. Appl. Math., May, 2023

Counting occurrences of subword patterns in non-crossing partitions.

Toufik Mansour, Mark Shattuck

Art Discret. Appl. Math., March, 2023

2022

Further enumeration results concerning a recent equivalence of restricted inversion sequences.

Toufik Mansour, Mark Shattuck

Discret. Math. Theor. Comput. Sci., 2022

On a question of Li concerning an uncounted class of circular permutations.

Toufik Mansour, Mark Shattuck

Australas. J Comb., 2022

On avoiding 1233.

Toufik Mansour, Mark Shattuck

Art Discret. Appl. Math., 2022

Subregularity in infinitely labeled generating trees of restricted permutations.

Toufik Mansour, Reza Rastegar, Mark Shattuck

Adv. Appl. Math., 2022

Avoiding a pair of patterns in multisets and compositions.

Vít Jelínek, Toufik Mansour, José Luis Ramírez, Mark Shattuck

Adv. Appl. Math., 2022

2020

Counting Permutations by the Number of Vertical Edges in Their Bargraphs.

Aubrey Blecher, Charlotte A. C. Brennan, Arnold Knopfmacher, Toufik Mansour, Mark Shattuck

J. Autom. Lang. Comb., 2020

2019

Some New Restricted n-Color Composition Functions.

Jarib R. Acosta, Yadira Caicedo, Juan P. Poveda, José Luis Ramírez, Mark Shattuck

J. Integer Seq., 2019

2018

Impulse parameter and a new equivalence between 123- and 132-avoiding permutations.

Toufik Mansour, Mark Shattuck

Discret. Math. Algorithms Appl., 2018

2017

A polynomial generalization of some associated sequences related to set partitions.

Toufik Mansour, Mark Shattuck

Period. Math. Hung., 2017

Identities for Generalized Whitney and Stirling Numbers.

Mark Shattuck

J. Integer Seq., 2017

Wilf classification of triples of 4-letter patterns II.

David Callan, Toufik Mansour, Mark Shattuck

Discret. Math. Theor. Comput. Sci., 2017

Wilf classification of triples of 4-letter patterns I.

David Callan, Toufik Mansour, Mark Shattuck

Discret. Math. Theor. Comput. Sci., 2017

Nine classes of permutations enumerated by binomial transform of Fine's sequence.

Toufik Mansour, Mark Shattuck

Discret. Appl. Math., 2017

Recounting the number of peaks and valleys in compositions of integers.

Mark Shattuck

Ars Comb., 2017

2016

A (p, q)-Analogue of the r-Whitney-Lah Numbers.

José Luis Ramírez, Mark Shattuck

J. Integer Seq., 2016

A statistic related to trees and words on a finite alphabet.

Toufik Mansour, Mark Shattuck

Discret. Math. Algorithms Appl., 2016

Counting permutations by the number of successions within cycles.

Toufik Mansour, Mark Shattuck

Discret. Math., 2016

2015

On avoidance of patterns of the form σ-τ by words over a finite alphabet.

Toufik Mansour, Mark Shattuck

Discret. Math. Theor. Comput. Sci., 2015

Counting subwords in flattened partitions of sets.

Toufik Mansour, Mark Shattuck, Stephan G. Wagner

Discret. Math., 2015

Some results on the avoidance of vincular patterns by multisets.

Toufik Mansour, Mark Shattuck

Discret. Appl. Math., 2015

2014

An Impossibility Theorem for Allocation Aggregation.

Carl G. Wagner, Mark Shattuck

J. Philos. Log., 2014

Combinatorial Proofs of Some Formulas for Triangular Tilings.

Mark Shattuck

J. Integer Seq., 2014

Congruence successions in compositions.

Toufik Mansour, Mark Shattuck, Mark C. Wilson

Discret. Math. Theor. Comput. Sci., 2014

Some enumerative results related to ascent sequences.

Toufik Mansour, Mark Shattuck

Discret. Math., 2014

2013

Counting humps and peaks in generalized Motzkin paths.

Toufik Mansour, Mark Shattuck

Discret. Appl. Math., 2013

A combinatorial approach to a general two-term recurrence.

Toufik Mansour, Mark Shattuck

Discret. Appl. Math., 2013

Polynomials whose coefficients are generalized Tribonacci numbers.

Toufik Mansour, Mark Shattuck

Appl. Math. Comput., 2013

On multiple pattern avoiding set partitions.

Vít Jelínek, Toufik Mansour, Mark Shattuck

Adv. Appl. Math., 2013

2012

Convolution Identities for Stirling Numbers of the First Kind Via Involution.

Mark Shattuck

Integers, 2012

Avoiding Type (1, 2) or (2, 1) Patterns in a Partition of a Set.

Toufik Mansour, Mark Shattuck

Integers, 2012

A general two-term recurrence and its solution.

Toufik Mansour, Shashikant Mulay, Mark Shattuck

Eur. J. Comb., 2012

Catalan numbers and pattern restricted set partitions.

Toufik Mansour, Matthias Schork, Mark Shattuck

Discret. Math., 2012

On the Stirling numbers associated with the meromorphic Weyl algebra.

Toufik Mansour, Matthias Schork, Mark Shattuck

Appl. Math. Lett., 2012

Set partitions as geometric words.

Toufik Mansour, Mark Shattuck

Australas. J Comb., 2012

2011

Maximizing a Sum Related to Image Segmentation Evaluation.

Johannes Hatzl, Toufik Mansour, Mark Shattuck

J. Math. Model. Algorithms, 2011

A Recurrence Related to the Bell Numbers.

Toufik Mansour, Mark Shattuck

Integers, 2011

Combinatorial Proofs of Some Identities for the Fibonacci and Lucas Numbers.

Alex Eustis, Mark Shattuck

Integers, 2011

On a New Family of Generalized Stirling and Bell Numbers.

Toufik Mansour, Matthias Schork, Mark Shattuck

Electron. J. Comb., 2011

Pattern-Avoiding Set Partitions and Catalan Numbers.

Toufik Mansour, Mark Shattuck

Electron. J. Comb., 2011

2010

Recounting the Number of Rises, Levels, and Descents in Finite Set Partitions.

Mark Shattuck

Integers, 2010

Counting Subwords in a Partition of a Set.

Toufik Mansour, Mark Shattuck, Sherry H. F. Yan

Electron. J. Comb., 2010

2009

Recounting Relations for Set Partitions with Restrictions.

Mark Shattuck

Ars Comb., 2009

2006

A New Statistic on Linear and Circular r-Mino Arrangements.

Mark A. Shattuck, Carl G. Wagner

Electron. J. Comb., 2006

2005

Parity Theorems for Statistics on Domino Arrangements.

Mark A. Shattuck, Carl G. Wagner

Electron. J. Comb., 2005