Mark Shattuck

Publication Activity (10 Years)

Years Active: 2009-2023
Publications (10 Years): 23

Top Topics

Regular Patterns

Finite Alphabet

Unordered Trees

Weighting Coefficients

Top Venues

Discret. Appl. Math.

Discret. Math. Theor. Comput. Sci.

J. Integer Seq.

Adv. Appl. Math.

Publications

Toufik Mansour, Mark Shattuck
Counting occurrences of subword patterns in non-crossing partitions. Art Discret. Appl. Math. 6 (3) (2023)
Toufik Mansour, Mark Shattuck
Counting inversion sequences by parity successions and runs. Discret. Appl. Math. 330 (2023)
Toufik Mansour, Mark Shattuck
On a question of Li concerning an uncounted class of circular permutations. Australas. J Comb. 83 (2022)
Vít Jelínek, Toufik Mansour, José L. Ramírez, Mark Shattuck
Avoiding a pair of patterns in multisets and compositions. Adv. Appl. Math. 133 (2022)
Toufik Mansour, Mark Shattuck
Further enumeration results concerning a recent equivalence of restricted inversion sequences. Discret. Math. Theor. Comput. Sci. 24 (1) (2022)
Toufik Mansour, Reza Rastegar, Mark Shattuck
Subregularity in infinitely labeled generating trees of restricted permutations. Adv. Appl. Math. 140 (2022)
Toufik Mansour, Mark Shattuck
On avoiding 1233. Art Discret. Appl. Math. 5 (1) (2022)
Vít Jelínek, Toufik Mansour, José L. Ramírez, Mark Shattuck
Avoiding a pair of patterns in multisets and compositions. CoRR (2021)
Aubrey Blecher, Charlotte A. C. Brennan, Arnold Knopfmacher, Toufik Mansour, Mark Shattuck
Counting Permutations by the Number of Vertical Edges in Their Bargraphs. J. Autom. Lang. Comb. 25 (4) (2020)
Jarib R. Acosta, Yadira Caicedo, Juan P. Poveda, José L. Ramírez, Mark Shattuck
Some New Restricted n-Color Composition Functions. J. Integer Seq. 22 (6) (2019)
Toufik Mansour, Mark Shattuck
Impulse parameter and a new equivalence between 123- and 132-avoiding permutations. Discret. Math. Algorithms Appl. 10 (4) (2018)
Toufik Mansour, Mark Shattuck
A polynomial generalization of some associated sequences related to set partitions. Period. Math. Hung. 75 (2) (2017)
Toufik Mansour, Mark Shattuck
Nine classes of permutations enumerated by binomial transform of Fine's sequence. Discret. Appl. Math. 226 (2017)
David Callan, Toufik Mansour, Mark Shattuck
Wilf classification of triples of 4-letter patterns I. Discret. Math. Theor. Comput. Sci. 19 (1) (2017)
Mark Shattuck
Recounting the number of peaks and valleys in compositions of integers. Ars Comb. 132 (2017)
David Callan, Toufik Mansour, Mark Shattuck
Wilf classification of triples of 4-letter patterns II. Discret. Math. Theor. Comput. Sci. 19 (1) (2017)
Mark Shattuck
Identities for Generalized Whitney and Stirling Numbers. J. Integer Seq. 20 (10) (2017)
Toufik Mansour, Mark Shattuck
A statistic related to trees and words on a finite alphabet. Discret. Math. Algorithms Appl. 8 (2) (2016)
Toufik Mansour, Mark Shattuck
Counting permutations by the number of successions within cycles. Discret. Math. 339 (4) (2016)
José L. Ramírez, Mark Shattuck
A (p, q)-Analogue of the r-Whitney-Lah Numbers. J. Integer Seq. 19 (5) (2016)
Toufik Mansour, Mark Shattuck
Some results on the avoidance of vincular patterns by multisets. Discret. Appl. Math. 181 (2015)
Toufik Mansour, Mark Shattuck, Stephan G. Wagner
Counting subwords in flattened partitions of sets. Discret. Math. 338 (11) (2015)
Toufik Mansour, Mark Shattuck
On avoidance of patterns of the form σ-τ by words over a finite alphabet. Discret. Math. Theor. Comput. Sci. 17 (2) (2015)
Carl G. Wagner, Mark Shattuck
An Impossibility Theorem for Allocation Aggregation. J. Philos. Log. 43 (6) (2014)
Toufik Mansour, Mark Shattuck
Some enumerative results related to ascent sequences. Discret. Math. (2014)
Toufik Mansour, Mark Shattuck, Mark C. Wilson
Congruence successions in compositions. Discret. Math. Theor. Comput. Sci. 16 (1) (2014)
Mark Shattuck
Combinatorial Proofs of Some Formulas for Triangular Tilings. J. Integer Seq. 17 (5) (2014)
Vít Jelínek, Toufik Mansour, Mark Shattuck
On multiple pattern avoiding set partitions. Adv. Appl. Math. 50 (2) (2013)
Toufik Mansour, Mark Shattuck
Polynomials whose coefficients are generalized Tribonacci numbers. Appl. Math. Comput. 219 (15) (2013)
Toufik Mansour, Mark Shattuck
A combinatorial approach to a general two-term recurrence. Discret. Appl. Math. 161 (13-14) (2013)
Toufik Mansour, Mark Shattuck
Counting humps and peaks in generalized Motzkin paths. Discret. Appl. Math. 161 (13-14) (2013)
Toufik Mansour, Matthias Schork, Mark Shattuck
Catalan numbers and pattern restricted set partitions. Discret. Math. 312 (20) (2012)
Mark Shattuck
Convolution Identities for Stirling Numbers of the First Kind Via Involution. Integers 12 (2012)
Toufik Mansour, Mark Shattuck
Avoiding Type (1, 2) or (2, 1) Patterns in a Partition of a Set. Integers 12 (2012)
Toufik Mansour, Mark Shattuck
Set partitions as geometric words. Australas. J Comb. 53 (2012)
Toufik Mansour, Matthias Schork, Mark Shattuck
On the Stirling numbers associated with the meromorphic Weyl algebra. Appl. Math. Lett. 25 (11) (2012)
Toufik Mansour, Shashikant Mulay, Mark Shattuck
A general two-term recurrence and its solution. Eur. J. Comb. 33 (1) (2012)
Toufik Mansour, Matthias Schork, Mark Shattuck
On a New Family of Generalized Stirling and Bell Numbers. Electron. J. Comb. 18 (1) (2011)
Toufik Mansour, Mark Shattuck
Pattern-Avoiding Set Partitions and Catalan Numbers. Electron. J. Comb. 18 (2) (2011)
Alex Eustis, Mark Shattuck
Combinatorial Proofs of Some Identities for the Fibonacci and Lucas Numbers. Integers 11 (2011)
Johannes Hatzl, Toufik Mansour, Mark Shattuck
Maximizing a Sum Related to Image Segmentation Evaluation. J. Math. Model. Algorithms 10 (2) (2011)
Toufik Mansour, Mark Shattuck
A Recurrence Related to the Bell Numbers. Integers 11 (2011)
Mark Shattuck
Recounting the Number of Rises, Levels, and Descents in Finite Set Partitions. Integers 10 (2010)
Toufik Mansour, Mark Shattuck, Sherry H. F. Yan
Counting Subwords in a Partition of a Set. Electron. J. Comb. 17 (1) (2010)
Mark Shattuck
Recounting Relations for Set Partitions with Restrictions. Ars Comb. 91 (2009)