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This book is intended to provide graduate students and researchers in graph theory with an overview of the elementary methods of graph Ramsey theory. It is especially targeted towards graduate students in extremal graph theory, graph Ramsey theory, and related fields, as the included contents allow the text to be used in seminars. It is structured in thirteen chapters which are application-focused and largely independent, enabling readers to target specific topics and information to focus their study. The first chapter includes a true beginner's overview of elementary examples in graph Ramsey theory mainly using combinatorial methods. The following chapters progress through topics including the probabilistic methods, algebraic construction, regularity method, but that's not all. Many related interesting topics are also included in this book, such as the disproof for a conjecture of Borsuk on geometry, intersecting hypergraphs, Turan numbers and communication channels, etc.
Award-winning rural Chinese drama directed by Zhang Yimou. In the China of the 1920s, a young woman Jiu'er (Li Gong) is entered into an arranged marriage with the leprous owner of a local winery. Although the relationship between the two is tenuous at first, it gradually develops over time into one of mutual respect. As time passes, Jiu'er falls for one the workers at the winery, shortly before her now ill husband dies. Inheriting the winery, Jiu'er, with her lover, take control, establishing a thriving business, even more successful than before. But when the Japanese military arrive during WWII, they rip up the wine fields in order to make a road. Now, as the local villagers rise up against the invaders, Jiu'er leads the patriotic surge to return the red sorghum crop to the fields.
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