Large Deviations in randomly coloured random graphs

Models of random graphs are considered where the presence or absence of an edge depends on the random types (colours) of its vertices, so that whether or not edges are present can be dependent. The principal objective is to study large deviations in the number of edges. These graphs provide a natural example with two different non-degenerate large deviation regimes, one arising from large deviations in the colourings followed by typical edge placement and the other from large deviation in edge placement. A secondary objective is to illustrate the use of a general result on large deviations for mixtures

Some colouring problems for Paley graphs

The Paley graph Pq, where q≡1(mod4) is a prime power, is the graph with vertices the elements of the finite field Fq and an edge between x and y if and only if x-y is a non-zero square in Fq. This paper gives new results on some colouring problems for Paley graphs and related discussion. © 2005 Elsevier B.V. All rights reserved

Large deviations in randomly coloured random graphs

Includes bibliographical references. Title from coverSIGLEAvailable from British Library Document Supply Centre- DSC:7769. 086(no 537/03) / BLDSC - British Library Document Supply CentreGBUnited Kingdo

Climate for Scandal: Corporate Environments that Contribute to Accounting Fraud

We examine the governance characteristics, earnings quality, growth rates, dividend policy, and compensation structure of 97 firms recently under investigation by the Securities and Exchange Commission (SEC) for accounting fraud. Our results show that the corporate environment most likely to lead to an accounting scandal manifests significant growth and accounting practices that are already pushing the envelope of earnings smoothing. Firms operating in this environment seem more likely to tip over the edge into fraud if there are fewer outsiders on the audit committee and outside directors appear overcommitted. Copyright 2007, The Eastern Finance Association.