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For each n and k, let rfr' denote the poset of all partitions of n having every block size congruent to / mod k. Attach to n£•*' a unique maximal or minimal element if it does not already have one, and denote the resulting poset U%-\ Results of Bjorner, Sagan, and Wachs show that Yl^' and nj, are lexicographically shellable, and hence Cohen-Macaulay. Let… (More)

- Phil Hanlon, Richard Lawder, +6 authors James W T Chalmers
- Journal of public health
- 2005

OBJECTIVES
To determine the degree to which changing patterns of deprivation in Scotland and the rest of Great Britain between 1981 and 2001 explain Scotland's higher mortality rates over that period.
DESIGN
Cross-sectional analyses using population and mortality data from around the 1981, 1991 and 2001 censuses.
SETTING
Great Britain (GB).
… (More)

- Phil Hanlon
- 2004

Let σ be a permutation of the set {1,2, — -, n} and let Π(N) denote the lattice of partitions of {1,2, •••,%}. There is an obvious induced action of σ on Π(N); let Π(N)σ — L denote the lattice of partitions fixed by σ. The structure of L is analyzed with particular attention paid to ^f, the meet sublattice of L consisting of 1 together with all elements of… (More)

- David Walsh, Neil Bendel, Russell W. Jones, Phil Hanlon
- Public health
- 2010

BACKGROUND
The link between deprivation and health is well established. However, recent research has highlighted the existence of a 'Scottish effect', a term used to describe the higher levels of poor health experienced in Scotland over and above that explained by socio-economic circumstances. Evidence of this 'excess' being concentrated in West Central… (More)

Let A be the arrangement of hyperplanes consisting of the reflecting hyperplanes for the root system An−1. Let B = B(q) be the Varchenko matrix for this arrangement with all hyperplane parameters equal to q. We show that B is the matrix with rows and columns indexed by permutations with σ, τ entry equal to qi(στ −1) where i(π) is the number of inversions of… (More)

- Phil Hanlon
- 2008

Let G be a simple graph with n nodes. The coloring complex of G, as defined by Steingrimsson, has r-faces consisting of all ordered set partitions, (B1, . . . , Br+2) in which at least one Bi contains an edge of G. Jonsson proved that the homology H∗(G) of the coloring complex is concentrated in the top degree. In addition, Jonsson showed that the dimension… (More)

- Phil Hanlon, Sandra Carlisle, Margaret Hannah, Deirdre E Reilly, Alexandra Lyon
- Public health
- 2011

This paper will argue that the UK has seen several phases of public health improvement since the Industrial Revolution, and that each of these can be linked to major shifts in thinking about the nature of society and health itself. The authors are not, however, attempting to delineate firm sequences of events (or imply causality) as this would require a… (More)

- Sheila Beck, Phil Hanlon, Carol Tannahill, Fred A. Crawford, Robert Ogilvie, Alan J Kearns
- Public health
- 2010

OBJECTIVES
To establish the theoretical and perceived links between area regeneration and health in a Scottish context in order to inform a comprehensive evaluation of regeneration activity. The evaluation will include health outcomes.
STUDY DESIGN
Mixed method combining and comparing key informant interviews with policy analysis.
METHODS
Analysis of… (More)

- David Walsh, Martin Taulbut, Phil Hanlon
- European journal of public health
- 2010

BACKGROUND
Post-industrial decline is frequently cited as one of the major underlying reasons behind the poor health profile of Scotland and, especially, West Central Scotland (WCS). This begs the question: to what extent is poor health a common outcome in other post-industrial regions and how does Scotland's experience compare to these other comparable… (More)

- Gerry McCartney, Siân Thomas, +5 authors Lyndal M. Bond
- BMJ
- 2010

OBJECTIVE
To assess the effects of major multi-sport events on health and socioeconomic determinants of health in the population of the city hosting the event.
DESIGN
Systematic review.
DATA SOURCES
We searched the following sources without language restrictions for papers published between 1978 and 2008: Applied Social Science Index and Abstracts… (More)