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- Urban Larsson, Peter Hegarty, Aviezri S. Fraenkel
- Theor. Comput. Sci.
- 2011

We prove a recent conjecture of DuchÃªne and Rigo, stating that every complementary pair of homogeneous Beatty sequences represents the solution to an invariant impartial game. Here invariance meansâ€¦ (More)

- Peter Hegarty
- Electr. J. Comb.
- 2004

A permutation Ï€ of an abelian group G (that is, a bijection from G to itself) will be said to avoid arithmetic progressions if there does not exist any triple (a, b, c) of elements of G, not allâ€¦ (More)

- Peter Dukes, Peter Hegarty, Sarada Herke
- Electr. J. Comb.
- 2010

We prove a conjecture of Dukes and Herke concerning the possible orders of a basis for the cyclic group Zn, namely : For each k âˆˆ N there exists a constant ck > 0 such that, for all n âˆˆ N, if A âŠ† Znâ€¦ (More)

We present rigorous mathematical analyses of a number of wellknown mathematical models for genetic mutations. In these models, the genome is represented by a vertex of the n-dimensional binaryâ€¦ (More)

- Peter Hegarty, Steven J. Miller
- Random Struct. Algorithms
- 2009

We investigate the relationship between the sizes of the sum and difference sets attached to a subset of {0, 1, ..., N}, chosen randomly according to a binomial model with parameter p(N), with N =â€¦ (More)

- Andreas Baltz, Peter Hegarty, Jonas Knape, Urban Larsson, Tomasz Schoen
- Electr. J. Comb.
- 2005

If k is a positive integer, we say that a set A of positive integers is k-sum-free if there do not exist a, b, c in A such that a + b = kc. In particular we give a precise characterization of theâ€¦ (More)

- Peter Hegarty
- Developmental psychology
- 2009

In this commentary, the author reviews methodological and conceptual shortcomings of recent articles by K. D. Drummond, S. J. Bradley, M. Peterson-Badali, and K. J. Zucker (see record 2007-19851-005)â€¦ (More)

- Peter Hegarty, Zoe Walton
- Perspectives on psychological science : a journalâ€¦
- 2012

An academic journal's impact factor (hereafter JIF) is an average measure of the citation count of individual articles published in that journal. JIF is used to assess merit, predict impact, andâ€¦ (More)

We study a variation of the combinatorial game of 2-pile Nim. Move as in 2-pile Nim but with the following constraint: Provided the previous player has just removed say x > 0 tokens from the pileâ€¦ (More)

- Edvin Wedin, Peter Hegarty
- Discrete & Computational Geometry
- 2015

Let fk(n) be the maximum number of time steps taken to reach equilibrium by a system of n agents obeying the k-dimensional Hegselmann-Krause bounded confidence dynamics. Previously, it was known thatâ€¦ (More)