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 ...

This document discusses some of the security problems and practical problems with the current Session Traversal Utilities for NAT (STUN) authentication for Traversal Using Relays around NAT (TURN) messages. Status of This Memo This document is not an Internet Standards Track specification; it is published for informational purposes. This document is a product of the Internet Engineering Task Fo...

Let Σ be a compact Riemann surface of genus g, and G ̄SU(n). The central element c ̄ diag(e#id/n,... , e#id/n) for d coprime to n is introduced. The Verlinde formula is proved for the Riemann–Roch number of a line bundle over the moduli space g," (c,Λ) of representations of the fundamental group of a Riemann surface of genus g with one boundary component, for which the loop around the boundary is...

swelling had been present as long as he could remember, but it was not possible to ascertain with certainty whether or not it was present at birth, that is to say whether it was truly congenital. It had grown slowly and painlessly all his life, but with some increased rapidity during the previous four months. Concealed as it was in the hair (Badagas do not cut the hair of the head), and by the ...