Peter Hegarty

Professor at Algebra and geometry

My research covers a broad spectrum of discrete mathematics. I am particularly interested in discrete probability, combinatorial number theory and finite group theory.

For more information, see my homepage http://www.math.chalmers.se/~hegarty

Source: chalmers.se
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Showing 38 publications

2016

The Hegselmann-Krause dynamics on the circle converge

Peter Hegarty, Anders Martinsson, Edvin Wedin
Journal of Difference Equations and Applications. Vol. 22 (11), p. 1720-1731
Journal article
2016

When can multi-agent rendezvous be executed in time linear in the diameter of a plane configuration?

Peter Hegarty, Anders Martinsson, Dmitrii Zhelezov
17th International Conference on Distributed Computing and Networking, ICDCN 2016; Singapore; Singapore; 4 January 2016 through 7 January 2016. Vol. 04-07-January-2016, p. Art. no. a2-
Paper in proceeding
2016

The Hegselmann-Krause dynamics for equally spaced agents

Peter Hegarty, Edvin Wedin
Journal of Difference Equations and Applications. Vol. 22 (11), p. 1621-1645
Journal article
2015

The Hegselmann-Krause Dynamics for the Continuous-Agent model and a Regular Opinion Function do not always lead to Consensus

Edvin Wedin, Peter Hegarty
IEEE Transactions on Automatic Control. Vol. 60 (9), p. 2416-2421
Journal article
2015

Permutations destroying arithmetic progressions in finite cyclic groups

Peter Hegarty, Anders Martinsson
Electronic Journal of Combinatorics. Vol. 22 (4), p. Art. no. P4.39-14
Journal article
2015

Can connected commuting graphs of finite groups have arbitrarily large diameter ?

Peter Hegarty, Dmitrii Zhelezov
Geometry, Structure and Randomness in Combinatorics, CRM Series, No. 18, p. 141-144
Book chapter
2015

A quadratic lower bound for the convergence rate in the one-dimensional Hegselmann-Krause bounded confidence dynamics

Edvin Wedin, Peter Hegarty
Discrete and Computational Geometry. Vol. 53 (2), p. 478-486
Journal article
2014

On the Diameters of Commuting Graphs Arising from Random Skew-Symmetric Matrices

Peter Hegarty, Dmitrii Zhelezov
Combinatorics Probability and Computing. Vol. 23 (3), p. 449-459
Journal article
2014

On the existence of accessible paths in various models of fitness landscapes

Peter Hegarty, Anders Martinsson
Annals of Applied Probability. Vol. 24 (4), p. 1375-1395
Journal article
2013

Limit points in the range of the commuting probability function on finite groups

Peter Hegarty
Journal of Group Theory. Vol. 16 (2), p. 235-247
Journal article
2013

Permutations all of whose patterns of a given length are distinct

Peter Hegarty
Journal of Combinatorial Theory - Series A. Vol. 120 (7), p. 1663-1671
Journal article
2013

A variant of the multi-agent rendezvous problem

Peter Hegarty, Anders Martinsson, Dmitrii Zhelezov
Preprint
2012

On m-covering families of Beatty sequences with irrational moduli

Peter Hegarty
Journal of Number Theory. Vol. 132 (10), p. 2277-2296
Journal article
2011

A Cauchy-Davenport type result for arbitrary regular graphs

Peter Hegarty
Integers. Vol. 11 (2), p. 227-235
Journal article
2011

Invariant and dual subtraction games resolving the Duchene-Rigo conjecture

Urban Larsson, Peter Hegarty, A. S. Fraenkel
Theoretical Computer Science. Vol. 412 (8-10), p. 729-735
Journal article
2010

On the possible orders of a basis for a finite cyclic group

P. Dukes, Peter Hegarty, S. Herke
Electronic Journal of Combinatorics. Vol. 17 (1), p. #R79-
Journal article
2010

The postage stamp problem and essential subsets in integer bases

Peter Hegarty
David and Gregory Chudnovsky (eds.), Additive Number Theory : Festschrift in Honor of the Sixtieth Birthday of Melvyn B. Nathanson. Springer-Verlag, New York., p. 153-171
Book chapter
2010

Minimal odd order automorphism groups

Peter Hegarty, Desmond Machale
Journal of Group Theory. Vol. 13 (2), p. 243-255
Journal article
2009

Finite Groups with an Automorphism Cubing a Large Fraction of Elements

Peter Hegarty
Mathematical Proceedings of the Royal Irish Academy. Vol. 109 (1), p. 79-99
Journal article
2009

Answers to Two Questions Posed by Farhi Concerning Additive Bases

Peter Hegarty
Journal of Number Theory. Vol. 129 (12), p. 3052-3058
Journal article
2009

When Almost All Sets are Difference Dominated

Peter Hegarty, Steven J. Miller
Random Structures and Algorithms. Vol. 35 (1), p. 118-136
Journal article
2009

Essentialities in additive bases

Peter Hegarty
Proceedings of the American Mathematical Society. Vol. 137 (5), p. 1657-1661
Journal article
2008

2-Pile Nim with a Restricted Number of Move-Size Imitations

Urban Larsson, Peter Hegarty
Preprint
2008

The inverse problem for representation functions for general linear forms

Peter Hegarty
Integers. Vol. 8 (Paper A16), p. 17-
Journal article
2007

Extremal subsets of {1, ..., n} avoiding solutions to linear equations in three variables

Peter Hegarty
Electronic Journal of Combinatorics. Vol. 14 (1), p. Paper R74-
Journal article
2007

Some explicit constructions of sets with more sums than differences

Peter Hegarty
Acta Arithmetica. Vol. 130 (1), p. 61-77
Journal article
2006

An Improved Upper Bound on the Maximum Size of k-primitive Sets

Peter Hegarty
INTEGERS : The Electronic Journal of Combinatorial Number Theory. Vol. 6, p. paper A 28-
Journal article
2006

Permutations of the Natural Numbers with Prescribed Difference Multisets

Peter Hegarty, Urban Larsson
INTEGERS : The Electronic Journal of Combinatorial Number Theory. Vol. 6, p. paper A 3-
Journal article
2005

Soluble groups with an automorphism inverting many elements

Peter Hegarty
Math. Proc. R. Ir. Acad.. Vol. 105A (1), p. 59--73-
Journal article
2005

The structure of maximum subsets of {1,...,n} with no solutions to a+b=kc

Peter Hegarty, A Baltz, Jonas Knape et al
Electron. J. Combin.. Vol. 12, p. 16 pages-
Journal article
2004

Permutations avoiding arithmetic patterns

Peter Hegarty
Electron. J. Combin.. Vol. 11 (1), p. 21 pages-
Journal article
2004

A variant of the discrete isoperimetric problem

Peter Hegarty
Ars Combin.. Vol. 73, p. 263--274-
Journal article
2003

On a conjecture of Zimmerman about group automorphisms

Peter Hegarty
Archiv der Mathematik (Basel). Vol. 80 (1), p. 1-11
Journal article

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