On the Conjectures on Optimality of Index Codes from Interlinked Cycle Cover Scheme

The interlinked cycle (IC) structure, that generalizes cycles and cliques was defined by Thapa, Ong and Johnson. Interlinked-cycle-cover (ICC) scheme that leverages IC structures in digraphs to construct scalar linear index codes was proposed. Thapa et. al. conjectured that for any IC structure, the ICC scheme is optimal. It was also conjectured that for any digraph, the ICC scheme performs at least as well as the partial-clique-cover scheme. In this paper, we disprove both the conjectures. We also show that for a specific class of symmetric index coding problems, the performance of ICC scheme is equal to that of the partial-clique-cover scheme

Markets for Energy Efficiency - Exploring the new horizons of tradable certificate schemes

This doctoral thesis explores the implications of establishing tradable certificate schemes for improving energy efficiency (so-called ‘Tradable White Certificate’ [TWC] schemes). Carrying out different case studies, a set of complementary evaluation methods is applied in conducting ex-ante and ex-post evaluation studies. To analyse the attributes and complexities of TWC schemes, the thesis focuses on several aspects, including (i) the modelling of potential impacts, (ii) the identification and analysis of transaction costs, (iii) the investigation of trading patterns and other flexibilities used to achieve cost-effective compliance, (iv) the level of energy-saving effectiveness under TWC schemes, (v) the use of cost-benefit analysis, and (vi) the application of multi-criteria evaluation. The findings help answer questions concerning the impacts and outcomes of TWC schemes and identify critical endogenous and exogenous conditions that affect their performance. Furthermore, the research assists in developing an understanding of what aspects of TWC schemes need to be evaluated and how

Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education

International audienceThis volume contains the Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education (ERME), which took place 9-13 February 2011, at Rzeszñw in Poland

The Routledge Handbook of Philosophy of Economics

The most fundamental questions of economics are often philosophical in nature, and philosophers have, since the very beginning of Western philosophy, asked many questions that current observers would identify as economic. The Routledge Handbook of Philosophy of Economics is an outstanding reference source for the key topics, problems, and debates at the intersection of philosophical and economic inquiry. It captures this field of countless exciting interconnections, affinities, and opportunities for cross-fertilization. Comprising 35 chapters by a diverse team of contributors from all over the globe, the Handbook is divided into eight sections: I. Rationality II. Cooperation and Interaction III. Methodology IV. Values V. Causality and Explanation VI. Experimentation and Simulation VII. Evidence VIII. Policy The volume is essential reading for students and researchers in economics and philosophy who are interested in exploring the interconnections between the two disciplines. It is also a valuable resource for those in related fields like political science, sociology, and the humanities.</p

Q(sqrt(-3))-Integral Points on a Mordell Curve

We use an extension of quadratic Chabauty to number fields,recently developed by the author with Balakrishnan, Besser and M ̈uller,combined with a sieving technique, to determine the integral points overQ(√−3) on the Mordell curve y2 = x3 − 4