• United Kingdom

Accepting PhD Students

20062019
If you made any changes in Pure these will be visible here soon.

Research Output 2006 2019

  • 12 Article
  • 1 Conference Contribution
  • 1 Doctoral Thesis
2019

A structural characterisation of Av(1324) and new bounds on its growth rate

Bevan, D., Brignall, R., Elvey Price, A. & Pantone, J., 17 Apr 2019, (Accepted/In press) In : European Journal of Combinatorics.

Research output: Contribution to journalArticle

Permutation
Lower bound
Technical Analysis
Planar Maps
Precise Asymptotics
2018
2 Citations (Scopus)

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
2 Citations (Scopus)

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
1 Citation (Scopus)

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
2 Citations (Scopus)

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
2 Citations (Scopus)

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
4 Citations (Scopus)

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
7 Citations (Scopus)

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
4 Citations (Scopus)

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
4 Citations (Scopus)

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