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Monotone grid classes of permutations have proven very effective in helping to determine structural and enumerative properties of classical permutation pattern classes.
Some properties of the spectrum of a graph
John H. Smith · 1970
Earlier work this paper cites.
On limit points of spectral radii of non-negative symmetric integral matrices
Alan J. Hoffman · 1972
Earlier work this paper cites.
Equiangular lines
P. W. H. Lemmens and J. J. Seidel · 1973
Earlier work this paper cites.
On the eigenvalues of trees
L. Lovász and J. Pelikán · 1973
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On the spectral radii of topologically equivalent graphs
Alan J. Hoffman and John Howard Smith · 1975
Earlier work this paper cites.
On the largest eigenvalue of unicyclic graphs
Slobodan K. Simić · 1987
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On the distribution of the maximum eigenvalue of graphs
James B. Shearer · 1989
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On the largest eigenvalue of bicyclic graphs
Slobodan K. Simić · 1989
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Forbidden subsequences
Zvezdelina E. Stankova · 1994
Earlier work this paper cites.
Partitioning permutations into increasing and decreasing subsequences
André E. Kézdy, Hunter S. Snevily, and Chi Wang · 1996
Earlier work this paper cites.
Permutations which are the union of an increasing and a decreasing subsequence
M. D. Atkinson · 1998
Earlier work this paper cites.
Restricted permutations
M. D. Atkinson · 1999
Cited alongside, same era.
Profile classes and partial well-order for permutations
Maximillian M. Murphy and Vincent R. Vatter · 2003
Cited alongside, same era.
Graphs and homomorphisms
Pavol Hell and Jaroslav Nešetřil · 2004
Cited alongside, same era.
Excluded permutation matrices and the Stanley-Wilf conjecture
Adam Marcus and Gábor Tardos · 2004
Cited alongside, same era.
Grid classes and the Fibonacci dichotomy for restricted permutations
Sophie Huczynska and Vincent Vatter · 2006
Cited alongside, same era.
On permutation classes defined by token passing networks, gridding matrices and pictures: Three flavours of involvement
Stephen D. Waton · 2007
Cited alongside, same era.
Permutation classes of every growth rate above 2.48188
Vincent Vatter · 2010
Later among the works it cites.
Covering trees and lower-bounds on quadratic assignment
J. Yarkony, C. Fowlkes, and A. Ihler · 2010
Later among the works it cites.
The enumeration of permutations avoiding 2143 and 4231
M. H. Albert, M. D. Atkinson, and R. Brignall · 2011
Later among the works it cites.
Small permutation classes
Vincent Vatter · 2011
Later among the works it cites.
The enumeration of three pattern classes using monotone grid classes
M. H. Albert, M. D. Atkinson, and Robert Brignall · 2012
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Inflations of geometric grid classes: three case studies
Michael H. Albert, M. D. Atkinson, and Vincent Vatter · 2012
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On graphs whose spectral radius is bounded by
Renee Woo and Arnold Neumaier · 2007
Cited alongside, same era.
Locally constrained graph homomorphisms—structure, complexity, and applications
Jiří Fiala and Jan Kratochvíl · 2008
Cited alongside, same era.
Notes on the basis of monotone grid classes
Michael Albert, Mike Atkinson, and Robert Brignall · 2010
Cited alongside, same era.
An introduction to the theory of graph spectra
Dragoš Cvetković, Peter Rowlinson, and Slobodan Simić · 2010
Cited alongside, same era.
The graphs with spectral radius between
A. E. Brouwer and A. Neumaier
Cited in the paper.
On graphs whose spectral radius does not exceed
Dragoš Cvetković, Michael Doob, and Ivan Gutman
Cited in the paper.
Permutation grid classes
David Bevan · 2012
Later among the works it cites.
Spectra of graphs
Andries E. Brouwer and Willem H. Haemers · 2012
Later among the works it cites.
Geometric grid classes of permutations
Michael H. Albert, M. D. Atkinson, Mathilde Bouvel, Nik Ruškuc, and Vincent Vatter · 2013
Closest in time.
Growth rates of geometric grid classes of permutations
David Bevan · 2013
Closest in time.