M. D. Atkinson

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All published works

Action	Title	Year	Authors
+ PDF Chat	Isomorphisms between pattern classes	2015	Michael Albert M. D. Atkinson Anders Claesson
+	Deflatability of Permutation Classes	2014	Michael Albert M. D. Atkinson Cheyne Homberger Jay Pantone
+	Inflations of geometric grid classes: three case studies.	2014	Michael Albert M. D. Atkinson Vincent Vatter
+	Deflatability of Permutation Classes	2014	Michael Albert M. D. Atkinson Cheyne Homberger Jay Pantone
+	Isomorphisms between pattern classes	2013	Michael Albert M. D. Atkinson Anders Claesson
+	Geometric grid classes of permutations	2013	Michael H. Albert M. D. Atkinson Mathilde Bouvel Nik Ruškuc Vincent Vatter
+	The enumeration of three pattern classes	2012	Michael Albert M. D. Atkinson Robert Brignall
+	Inflations of Geometric Grid Classes: Three Case Studies	2012	Michael Albert M. D. Atkinson Vincent Vatter
+	Pattern classes and priority queues	2012	Michael Albert M. D. Atkinson
+	Counting s(3+1)-avoiding permutations.	2012	M. D. Atkinson Bruce E. Sagan Vincent Vatter
+	Counting <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si14.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="bold"><mml:mi>(3 + 1)</mml:mi></mml:mstyle></mml:math>-avoiding permutations	2011	M. D. Atkinson Bruce E. Sagan Vincent Vatter
+	Geometric grid classes of permutations	2011	Michael Albert M. D. Atkinson Mathilde Bouvel Nik Ruškuc Vincent Vatter
+ PDF Chat	Subclasses of the separable permutations	2011	Michael Albert M. D. Atkinson Vincent Vatter
+	The enumeration of permutations avoiding 2143 and 4231	2011	Michael Albert M. D. Atkinson Robert Brignall
+	Counting (3+1) - Avoiding permutations	2011	M. D. Atkinson Bruce E. Sagan Vincent Vatter
+ PDF Chat	Substitution-closed pattern classes	2010	M. D. Atkinson Nik Ruškuc Rebecca Smith
+	Growth rates for subclasses of Av(321)	2010	Michael Albert M. D. Atkinson Robert Brignall Nik Ruškuc Rebecca Smith Julian West
+	The bubble sort operator	2010	Michael Albert M. D. Atkinson Mathilde Bouvel Anders Claesson Mark Dukes
+	Avoiding consecutive patterns in permutations	2010	R. E. L. Aldred M. D. Atkinson D. J. McCaughan
+ PDF Chat	Counting $1324$, $4231$-Avoiding Permutations	2009	Michael Albert M. D. Atkinson Vincent Vatter
+	Monotonic sequence games	2009	Michael Albert R. E. L. Aldred M. D. Atkinson C.C. Handley Derek Holton D. J. McCaughan Bruce E. Sagan
+	Growth rates for subclasses of Av(321)	2009	Michael Albert M. D. Atkinson Robert Brignall Nik Ruškuc Rebecca Smith Julian West
+	On Permutation Pattern Classes with Two Restrictions Only	2007	M. D. Atkinson
+ PDF Chat	Permutation Classes of Polynomial Growth	2007	Michael Albert M. D. Atkinson Robert Brignall
+	The p-modular Descent Algebra of the Symmetric Group	2007	M. D. Atkinson Stephanie J. van Willigenburg
+	Avoiding bias in cards cryptography	2007	M. D. Atkinson Hans P. van Ditmarsch Sigrid Roehling
+	The $p$-modular descent algebras	2007	M. D. Atkinson Götz Pfeiffer Stephanie J. van Willigenburg
+ PDF Chat	On the longest increasing subsequence of a circular list	2006	Michael Albert M. D. Atkinson Doron Nussbaum Jörg-Rüdiger Sack Nicola Santoro
+	Permutation Classes of Polynomial Growth	2006	Michael Albert M. D. Atkinson Robert Brignall
+	Monotonic Sequence Games	2006	Michael Albert R. E. L. Aldred M. D. Atkinson C. C. Handley Derek Holton D. J. McCaughan Bruce E. Sagan
+ PDF Chat	Pattern Avoidance Classes and Subpermutations	2005	M. D. Atkinson M. M. Murphy Nik Ruškuc
+	Simple permutations and pattern restricted permutations	2005	Michael Albert M. D. Atkinson
+ PDF Chat	Some equinumerous pattern-avoiding classes of permutations	2005	M. D. Atkinson
+	Restricted permutations and queue jumping	2004	Michael Albert R. E. L. Aldred M. D. Atkinson Hans P. van Ditmarsch C.C. Handley Derek Holton
+	Pattern avoidance classes and subpermutations	2004	M. D. Atkinson M. M. Murphy
+	The enumeration of simple permutations.	2003	Michael Albert M. D. Atkinson Martin Klazar
+ PDF Chat	Regular closed sets of permutations	2003	Michael Albert M. D. Atkinson Nik Ruškuc
+	The enumeration of simple permutations	2003	Michael Albert M. D. Atkinson Martin Klazar
+	Restricted permutations and the wreath product	2002	M. D. Atkinson T. Stitt
+	Sorting with two ordered stacks in series	2002	M. D. Atkinson M. M. Murphy Nik Ruškuc
+	None	2002	M. D. Atkinson M. M. Murphy Nik Ruškuc
+	Regular closed classes of permutations	2002	Michael Albert M. D. Atkinson Nik Ruškuc
+	None	2002	M. D. Atkinson Götz Pfeiffer Stephanie J. van Willigenburg
+	Sorting with a Forklift	2002	Michael Albert M. D. Atkinson
+	Restricted permutations and queue jumping	2002	Michael Albert R. E. L. Aldred M. D. Atkinson Hans van Ditmarsch C.C. Handley Derek Holton
+	Sorting with a forklift	2002	Michael Albert M. D. Atkinson
+	Permutations of a Multiset Avoiding Permutations of Length 3	2001	Michael H. Albert R. E. L. Aldred M. D. Atkinson C.C. Handley Derek Holton
+	Computational and Geometric Aspects of Modern Algebra	2000	M. D. Atkinson N. D. Gilbert James Howie S. Linton E. F. Robertson
+	Restricted permutations	1999	M. D. Atkinson
+	Generalized Stack Permutations	1998	M. D. Atkinson
+ PDF Chat	Permutations which are the union of an increasing and a decreasing subsequence	1998	M. D. Atkinson
+ PDF Chat	The <i>p</i> -Modular Descent Algebra of the Symmetric Group	1997	M. D. Atkinson Stephanie J. van Willigenburg
+	Uniform generation of forests of restricted height	1994	M. D. Atkinson Jörg-Rüdiger Sack
+	Enumerating k-way trees	1993	M. D. Atkinson Louise A. Walker
+	Solomon's Descent Algebra Revisited	1992	M. D. Atkinson
+	Sums of lexicographically ordered sets	1990	M. D. Atkinson Alberto Negro Nicola Santoro
+	A New Proof of a Theorem of Solomon	1986	M. D. Atkinson
+	On zigzag permutations and comparisons of adjacent elements	1985	M. D. Atkinson
+	A problem of Westwick on<i>k</i>-spaces	1984	M. D. Atkinson
+	The Ranks of $m \times n \times (mn - 2)$ Tensors	1983	M. D. Atkinson Seth Lloyd
+ PDF Chat	Primitive spaces of matrices of bounded rank. II	1983	M. D. Atkinson
+	Spaces of linear transformations of equal rank	1983	M. D. Atkinson R. Westwick
+	The cyclic towers of Hanoi	1981	M. D. Atkinson
+ PDF Chat	Saving space in coset enumeration	1981	M. D. Atkinson
+ PDF Chat	Primitive spaces of matrices of bounded rank	1981	M. D. Atkinson Seth Lloyd
+	Bounds on the ranks of some 3-tensors	1980	M. D. Atkinson Seth Lloyd
+	Regular fault-free rectangles	1980	M. D. Atkinson W. F. Lunnon
+	Spaces of Matrices with Several Zero Eigenvalues	1980	M. D. Atkinson
+	LARGE SPACES OF MATRICES OF BOUNDED RANK	1980	M. D. Atkinson Seth Lloyd
+	Some permutation groups of degreep=6q+1	1979	M. D. Atkinson
+	On the maximal multiplicative complexity of a family of bilinear forms	1979	M. D. Atkinson N. M. Stephens
+ PDF Chat	On the normal structure of a one-point stabilizer in a doubly transitive permutation group	1978	M. D. Atkinson Cheryl E. Praeger
+	SPACES OF MATRICES OF BOUNDED RANK	1978	M. D. Atkinson N. M. Stephens
+	THEOREM. Let M be a 2-dimensional space o/mxn matrices with the property that rank (X) £ k < \F\ for every XeM. Then there exist two integers r, s, O^r, s £ fc with r + s = k, and two non-singular matrices P, Q such that, for all XeM, PXQ has the form	1978	M. D. Atkinson N. M. Stephens
+	The complexity of group algebra computations	1977	M. D. Atkinson
+ PDF Chat	On Rank 3 Groups Having λ = 0	1977	M. D. Atkinson
+ PDF Chat	Ordering finite groups by involvement	1975	M. D. Atkinson
+	Doubly Transitive But not Doubly Primitive Permutation Groups II	1975	M. D. Atkinson
+ PDF Chat	Alternating trilinear forms and groups of exponent 6	1973	M. D. Atkinson
+	Two Theorems on Doubly Transitive Permutation Groups	1973	M. D. Atkinson

Common Coauthors

Coauthor	Papers Together
Michael Albert	29
Nik Ruškuc	10
Vincent Vatter	9
R. E. L. Aldred	6
Robert Brignall	6
Derek Holton	5
Bruce E. Sagan	5
C. C. Handley	5
Stephanie J. van Willigenburg	4
M. M. Murphy	4
Seth Lloyd	4
D. J. McCaughan	3
Mathilde Bouvel	3
Anders Claesson	3
Rebecca Smith	3
N. M. Stephens	3
Nicola Santoro	2
Martin Klazar	2
Jay Pantone	2
Julian West	2
Michael H. Albert	2
Cheyne Homberger	2
Jörg-Rüdiger Sack	2
Götz Pfeiffer	2
Hans P. van Ditmarsch	2
Mark Dukes	1
Doron Nussbaum	1
Cheryl E. Praeger	1
W. F. Lunnon	1
Sigrid Roehling	1
S. Linton	1
E. F. Robertson	1
T. Stitt	1
R. Westwick	1
James Howie	1
N. D. Gilbert	1
Hans van Ditmarsch	1
Louise A. Walker	1
Alberto Negro	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Restricted permutations	1999	M. D. Atkinson	19
+	Simple permutations and pattern restricted permutations	2005	Michael Albert M. D. Atkinson	13
+	Restricted permutations and the wreath product	2002	M. D. Atkinson T. Stitt	11
+	None	2002	M. D. Atkinson M. M. Murphy Nik Ruškuc	11
+	Forbidden subsequences	1994	Zvezdelina Stankova	10
+ PDF Chat	Grid Classes and the Fibonacci Dichotomy for Restricted Permutations	2006	Sophie Huczynska Vincent Vatter	8
+ PDF Chat	Permutations which are the union of an increasing and a decreasing subsequence	1998	M. D. Atkinson	8
+	Permutations with forbidden subsequences and a generalized Schröder number	2000	Darla Kremer	8
+	Generating trees and forbidden subsequences	1996	Julian West	8
+ PDF Chat	The Permutation Classes Equinumerous to the Smooth Class	1998	Miklós Bóna	8
+ PDF Chat	Sorting Using Networks of Queues and Stacks	1972	Robert E. Tarjan	8
+ PDF Chat	Wilf Classes of Pairs of Permutations of Length 4	2005	Ian Le	7
+	Computing permutations with double-ended queues, parallel stacks and parallel queues	1973	Vaughan Pratt	7
+	Generating trees and the Catalan and Schröder numbers	1995	Julian West	7
+	Finite transition matrices for permutations avoiding pairs of length four patterns	2003	Darla Kremer Wai Chee Shiu	7
+	Exact Enumeration of 1342-Avoiding Permutations: A Close Link with Labeled Trees and Planar Maps	1997	Miklós Bóna	7
+	Excluded permutation matrices and the Stanley–Wilf conjecture	2004	Adam W. Marcus Gábor Tardos	7
+ PDF Chat	Regular closed sets of permutations	2003	Michael Albert M. D. Atkinson Nik Ruškuc	6
+	Restricted permutations, antichains, atomic classes and stack sorting	2003	Maximilian M. Murphy	6
+	The enumeration of permutations avoiding 2143 and 4231	2011	Michael Albert M. D. Atkinson Robert Brignall	5
+ PDF Chat	Profile Classes and Partial Well-Order for Permutations	2003	Maximillian M. Murphy Vincent Vatter	5
+ PDF Chat	A Combinatorial Problem in Geometry	2009	P. Erdős G. Szckeres	5
+	Restricted Permutations	1985	Rodica Simion Frank Schmidt	5
+	Solomon's Descent Algebra Revisited	1992	M. D. Atkinson	4
+ PDF Chat	The Enumeration of Three Pattern Classes using Monotone Grid Classes	2012	Michael H. Albert Mike Atkinson Robert Brignall	4
+	The enumeration of simple permutations.	2003	Michael Albert M. D. Atkinson Martin Klazar	4
+ PDF Chat	Pattern Avoidance Classes and Subpermutations	2005	M. D. Atkinson M. M. Murphy Nik Ruškuc	4
+ PDF Chat	On Growth Rates of Closed Permutation Classes	2003	Tomáš Kaiser Martin Klazar	4
+	Geometric grid classes of permutations	2013	Michael H. Albert M. D. Atkinson Mathilde Bouvel Nik Ruškuc Vincent Vatter	4
+	Generalized Stack Permutations	1998	M. D. Atkinson	4
+	Pattern matching for permutations	1998	Prosenjit Bose Jonathan F. Buss Anna Lubiw	4
+	Restricted 132-Avoiding Permutations	2001	Toufik Mansour Alek Vainshtein	4
+	Bootstrap Percolation, the Schröder Numbers, and the<i>N</i>-Kings Problem	1991	Louis W. Shapiro A. B. Stephens	4
+	Simple permutations and algebraic generating functions	2007	Robert Brignall Sophie Huczynska Vincent Vatter	4
+	Noncommutative Symmetrical Functions	1995	Israel M. Gelfand D. Krob Alain Lascoux Bruno Leclerc Vladimir Retakh Jean-Yves Thibon	3
+	Combinatorial Enumeration	2024	Robin Pemantle Mark C. Wilson Stephen Melczer	3
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota	3
+	Permutations avoiding certain patterns: The case of length 4 and some generalizations	1997	Miklós Bóna	3
+	A decomposition of Solomon's descent algebra	1989	Adriano M. Garsia Christophe Reutenauer	3
+	A simple proof for the exponential upper bound for some tenacious patterns	2004	Miklós Bóna	3
+ PDF Chat	The X-Class and Almost-Increasing Permutations	2011	Sergi Elizalde	3
+	Growth rates for subclasses of Av(321)	2010	Michael Albert M. D. Atkinson Robert Brignall Nik Ruškuc Rebecca Smith Julian West	3
+	Longest Increasing and Decreasing Subsequences	2009	C. Schensted	3
+	A Mackey formula in the group ring of a Coxeter group	1976	Louis Solomon	3
+ PDF Chat	On Partial Well-Order for Monotone Grid Classes of Permutations	2010	Vincent Vatter Steve Waton	3
+	On Permutation Classes Defined by Token Passing Networks, Gridding Matrices and Pictures: Three Flavours of Involvement	2007	Stephen D. Waton	3
+	Critically indecomposable partially ordered sets, graphs, tournaments and other binary relational structures	1993	James H. Schmerl William T. Trotter	3
+	SPACES OF MATRICES OF BOUNDED RANK	1978	M. D. Atkinson N. M. Stephens	3
+	Finite Permutation Groups.	1966	Franklin Haimo Helmut Wielandt	3
+ PDF Chat	On the Stanley–Wilf limit of 4231-avoiding permutations and a conjecture of Arratia	2005	Michael Albert Murray Elder Andrew Rechnitzer P. Westcott Mike Zabrocki	3