• United Kingdom

Accepting PhD Students

  • 14 Citations
20062018
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Research Output 2006 2018

  • 14 Citations
  • 11 Article
  • 1 Conference Contribution
  • 1 Doctoral Thesis
2018

Intervals of permutation class growth rates

Bevan, D. 30 Apr 2018 In : Combinatorica. 38, 2, p. 279-303 25 p.

Research output: Contribution to journalArticle

Open Access
File
Permutation
Interval
Digit
Theorem
Class
1 Citations

Prolific permutations and permuted packings: downsets containing many large patterns

Bevan, D., Homberger, C. & Tenner, B. E. 31 Jan 2018 In : Journal of Combinatorial Theory Series A . 153, p. 98-121 24 p.

Research output: Contribution to journalArticle

Open Access
File
Packing
Diamonds
Permutation
Bijection
Strombus or kite or diamond
2017

Large butterfly Cayley graphs and digraphs

Bevan, D. 1 Oct 2017 In : Discrete Mathematics. 340, 10, p. 2432-2436 5 p.

Research output: Contribution to journalArticle

Open Access
File
Cayley Digraph
Directed graphs
Cayley Graph
Directed Graph
Interval

Large circulant graphs of fixed diameter and arbitrary degree

Bevan, D., Erskine, G. & Lewis, R. 9 Mar 2017 In : Ars Mathematica Contemporanea. 13, 2, p. 275–291 17 p.

Research output: Contribution to journalArticle

Open Access
File
Circulant Graph
Directed graphs
Arbitrary
Sumsets
Stitching
1 Citations

Staircases, dominoes, and the growth rate of 1324-avoiders

Bevan, D., Brignall, R., Elvey Price, A. & Pantone, J. 31 Aug 2017 In : Electronic Notes in Discrete Mathematics. 61, p. 123–129 7 p.

Research output: Contribution to journalConference Contribution

Open Access
File
Permutation
Enumeration
Lower bound
Upper bound

The permutation class Av(4213,2143)

Bevan, D. 4 Apr 2017 In : Discrete Mathematics and Theoretical Computer Science. 18, 2, 14 p., #10

Research output: Contribution to journalArticle

Open Access
File
Permutation
Monotonic increasing sequence
Skew
Generating Function
Likely
2016
1 Citations

Pattern avoidance in forests of binary shrubs

Bevan, D., Levin, D., Nugent, P., Pantone, J., Pudwell, L., Riehl, M. & Tlachac, ML. 21 Jul 2016 In : Discrete Mathematics and Theoretical Computer Science. 18, 2, 22 p.

Research output: Contribution to journalArticle

Open Access
File
Pattern Avoidance
Machinery
Polynomials
Binary
Analytic Combinatorics

The permutation classes Av(1234,2341) and Av(1243,2314)

Bevan, D. 29 Feb 2016 In : Australasian Journal of Combinatorics. 64, p. 3–20 18 p.

Research output: Contribution to journalArticle

Open Access
File
Permutation
Polyominoes
Algebraic function
Kernel Methods
Graph in graph theory
2015
2 Citations

Growth rates of permutation grid classes, tours on graphs, and the spectral radius

Bevan, D. 31 Aug 2015 In : Transactions of the American Mathematical Society. 367, 8, p. 5863–5889 27 p.

Research output: Contribution to journalArticle

Spectral Radius
Permutation
Grid
Graph in graph theory
Column graph

On the growth of permutation classes

Bevan, D. 1 Jun 2015 Milton Keynes.

Research output: ThesisDoctoral Thesis

Permutation
Grid
Matching Polynomial
Spectral Radius
Graph in graph theory
5 Citations

Permutations avoiding 1324 and patterns in Łukasiewicz paths

Bevan, D. 1 Aug 2015 In : Journal of the London Mathematical Society. 92, 1, p. 105–122 18 p.

Research output: Contribution to journalArticle

Permutation
Path
Substructure
Asymptotic distribution
Gaussian distribution
2014
1 Citations

Growth rates of geometric grid classes of permutations

Bevan, D. 4 Dec 2014 In : The Electronic Journal of Combinatorics. 21, 4, p. 1-17 17 p.

Research output: Contribution to journalArticle

Open Access
File
Permutation
Grid
Matching Polynomial
Polynomials
Roots
2006
3 Citations

Sets of points determining only acute angles and some related colouring problems

Bevan, D. 15 Feb 2006 In : The Electronic Journal of Combinatorics. 13, 1, 24 p., R12

Research output: Contribution to journalArticle

Open Access
File
Acute angle
Coloring
Set of points
Colouring
Lower bound