Brooks' Theorem (1941) is one of the most famous and fundamental theorems in graph theory -- it is mentioned/treated in all general monographs on graph theory. It has sparked research in several directions. This book presents a comprehensive overview of this development and see it in context. It describes results, both early and recent, and explains relations: the various proofs, the many extensions and similar results for other graph parameters. It serves as a valuable reference to a wealth of information, now scattered in journals, proceedings and dissertations. The reader gets easy access to this wealth of information in comprehensive form, including best known proofs of the results described. Each chapter ends in a note section with historical remarks, comments and further results. The book is also suitable for graduate courses in graph theory and includes exercises. The book is intended for readers wanting to dig deeper into graph coloring theory than what is possible in the existing book literature. There is a comprehensive list of references to original sources.
This issue examines PET-MRI with evolving but potentially competing technologies. The guest editors have put together an extremely timely issue as practicing radiologists are increasingly curious about the role of diffusion weighted imaging with MRI as a competing or a complementary technique to PET.
Debunking outdated and inaccurate beliefs about investment management and reveals the new realities of the post-modern financial markets There have been a lot of big changes in the investment world over the past decade, and many long-cherished beliefs about the structures and performance of various investments no longer apply. Unfortunately the news seems not to have reached many thought leaders and investment professionals who persist in trying, and failing, to apply 20th-century thinking to 21st-century portfolio management. Nowhere is this more true than when it comes to the subject of alternative investments. Written by an all-star team of investment management experts, this book debunks common myths and misconceptions about most classes of alternative investments and offers valuable advice on how to develop investment management and asset allocation strategies consistent with the new realities of the ever-changing world of alternative investments. Covers most alternative asset classes, including private equity, real estate, managed futures, hedge funds, commodity indices, and more Debunks long-held assumptions about the structure and performance of various investment classes that continue to dominate the industry Explores the implications for investment managers of the proliferation of international marketable securities and global financial markets Provides an overview of both the micro and the macro aspects of each alternative investment class
Brooks' Theorem (1941) is one of the most famous and fundamental theorems in graph theory -- it is mentioned/treated in all general monographs on graph theory. It has sparked research in several directions. This book presents a comprehensive overview of this development and see it in context. It describes results, both early and recent, and explains relations: the various proofs, the many extensions and similar results for other graph parameters. It serves as a valuable reference to a wealth of information, now scattered in journals, proceedings and dissertations. The reader gets easy access to this wealth of information in comprehensive form, including best known proofs of the results described. Each chapter ends in a note section with historical remarks, comments and further results. The book is also suitable for graduate courses in graph theory and includes exercises. The book is intended for readers wanting to dig deeper into graph coloring theory than what is possible in the existing book literature. There is a comprehensive list of references to original sources.
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