The second author’s ω, ∆, χ conjecture proposes that every graph satisties χ ≤ d 1 2 (∆ + 1 + ω)e. In this paper we prove that the conjecture holds for all claw-free graphs. Our approach uses the structure theorem of Chudnovsky and Seymour. Along the way we discuss a stronger local conjecture, and prove that it holds for claw-free graphs with a three-colourable complement. To prove our results ...

We prove that many of beta, beta prime, gamma, inverse gamma, Student tand ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter negative result follows from a local property of probability density functions. Moreover, we show that the Gaussian, many of ultraspherical and Student t-distributions have free divisibility indicator 1.

Cheriton School of Computer Science, University of Waterloo CONICET, Instituto de Cálculo and Departamento de Computación, FCEyN, Universidad de Buenos Aires Computer Science Department, Colorado State University The Blavatnik School of Computer Science, Tel Aviv University CONICET, Departamento de Computación, FCEyN, Universidad de Buenos Aires EECS Department, Vanderbilt University Universida...

People generate reminders in a variety of ways (e.g. putting items special places or creating to-do lists) to support their memories. Successful remindings can result retroactive facilitation earlier information; contrast, failures remind produce interference between memory for related information. Here, we compared the efficacy different kinds reminders, including participant’s self-generated ...

It is conjectured that a hyperbolic knot complement does not contain a closed embedded totally geodesic surface. In this paper, we show that there are no such surfaces in the complements of hyperbolic 3-bridge knots and double torus knots. Some topological criteria for a closed essential surface failing to be totally geodesic are given. Roughly speaking, sufficiently ‘complicated’ surfaces can ...