On the effective and automatic enumeration of polynomial permutation classes

We describe an algorithm, implemented in Python, which can enumerate any permutation class with polynomial enumeration from a structural description of the class. In particular, this allows us to find formulas for the number of permutations of length n which can be obtained by a finite number of block sorting operations (e.g., reversals, block transpositions, cut-and-paste moves)

Pattern-Avoiding Involutions: Exact and Asymptotic Enumeration

We consider the enumeration of pattern-avoiding involutions, focusing in particular on sets defined by avoiding a single pattern of length 4. As we demonstrate, the numerical data for these problems demonstrates some surprising behavior. This strange behavior even provides some very unexpected data related to the number of 1324-avoiding permutations

How do you do Your Rage? : A Qualitative Investigation Into Contemporary Women\u27s Experience of Their Rage

Feminist researchers investigate women’s lives. This project is looking at a tiny thread embedded in a small section in the huge fabric of women\u27s lives. The section is women’s capacity for violence, and the thread within it is women’s rage. This is a qualitative study of contemporary women experiencing and expressing their anger and rage. Discussions of violence within feminist literature have been largely restricted to accounts of male violence against women and children, and may have inadvertently endorsed the mainstream construction of femininity, which perceives rage in women to be an inappropriate emotion. In this project, I argue that contemporary women do indeed experience anger and rage, and that these emotions need to be honoured and validated. The questions I seek to answer are about contemporary women’s expression of these emotions. Do they express rage often, or sometimes, or never, or just keep it inside, relegating it to the shadow? Do they direct their rage towards others, or do they direct it towards themselves? Do they do both? Does rage vary over a lifetime? Is women’s rage linked to women’s oppression? How do contemporary women experience oppression? Do they have bodily symptoms associated with rage? Is there indeed a link between women· s rage and women’s violence? Is there frequently a link between women’s rage and violence against women? Is an outburst of rage spontaneous, or is it the culmination of a slow, smouldering process? Finally, are there ways of expressing rage creatively? Seeking answers to these questions, the study explores similarities and differences in the ways a small number of women in the community encounter their rage. The case stories of six women who participated in in-depth, semi-structured Interviews, together with a review of relevant literature, form the basis for this project. It is hoped it will raise awareness of women\u27s angry and violent feelings and that we might call their dark side, and ultimately, contribute to an exploration of the much larger field of women\u27s violence. This may in tum enable women to accept their own capacity for violent behaviour. In addition, this small sample illustrating that women with similar backgrounds do not necessarily share similar experiences of rage aims to contribute to current feminist theoretical debates about difference