Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of “magic” ideas have been applied to graphs. Recently there has been a resurgence of interest in “magic labelings” due to a number of results that have applications to the problem of decomposing graphs into trees. Key features of this second edition include: · a new chapter on magic labeling of directed graphs · applications of theorems from graph theory and interesting counting arguments · new research problems and exercises covering a range of difficulties · a fully updated bibliography and index This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labelings. It may serve as a graduate or advanced undergraduate text for courses in mathematics or computer science, and as reference for the researcher.
Definitely a book that sheds light on perspectives and perceptions about today's global economy. A must read for tourists and corporations alike - also heads of state, the media and environment groups - all of whom need to be informed on this key subject.' Chief Garry John, Chair and Spokesperson, St'at'imc Chiefs' Council 'an activist's call to action on behalf of people who have been made invisible in the merciless spread of globalization under corporate control.' Nina Rao, Southern Co Chair of the Tourism Caucus at the UN Commission on Sustainable Development, and Professor of Tourism 'A powerful and much-needed tool to fight the seemingly all-pervasive ignorance in the corporate and consumer-driven world that continues to hail ecotourism and other tourism 'alternatives' as beneficial to local people without looking at the root causes of problems.' Anita Pleumarom, Tourism Investigation and Monitoring Team, Bangkok Tourism is the fastest growing industry in the world. Ecotourism, often considered a more benign form of tourism, can in fact cause the most damage, as it targets more vulnerable environments and cultures. Is the Sacred for Sale? looks at our present crossroads in consumer society. It analyses the big questions of tourism, clarifying how tourism can support biodiversity conservation. It also offers a cross-cultural window to the divide between corporate thinking and sacred knowledge, to help us understand why collisions over resources and land use are escalating. Finally, we have a full spectrum of information for healthy dialogue and new relationships. This book is a profound wake up call to the business world and to decision-makers who shape current policy. It poses important questions to us all and is a must read for every tourist and traveller.
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