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Механика. Динамика

Algorithmic performance of large-scale distributed networks. A spectral method approach

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Christos G.    
Книга по Требованию    
2008 руб
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The focus of this work is to relate basic network performance metrics to structural characteristics of underlying network topologies, and to develop protocols that reinforce and exploit desired structural characteristics. We have used the notions of conductance and spectral analysis to study the structural characteristics of complex communication networks. They can be also used to quantify and measure the presence of groups of nodes that connect preferentially with each other, which is also referred as clustering. Complex networks like the Internet, peer-to-peer systems, and emerging sensor and ad-hoc networks are large distributed decentralized communication systems arising repeatedly in today's technology. In such networks it is critical to characterize network performance as the size of the network scales. These graph-theoretic notions are directly related to the performance of basic communication tasks performed on the graph of the network, including routing congestion, searching, and crawling.
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Комбинаторные условия фасетности опорных...
Комбинаторные условия фасетности опорных неравенств Р.Ю. Симанчев, Омский государственный университет, кафедра математического моделирования Пусть E- конечное множество, H- некоторое семейство его подмножеств. Мы будем рассматривать комбинаторно полные семейства, то есть семейства H, удовлетворяющие следующим аксиомам: 1) для любого e 0. Отметим, что в общем случае приводимая здесь техника является достаточно громоздкой. Однако конкретизация семейства H, аффинной оболочки соответствующего многогранника и самого опорного неравенства позволяет получать конструктивные результаты. Так, например, в посредством данной техники описаны три класса ранговых неравенств, индуцирующих фасеты многогранника связных k-факторов полного графа. Список литературы Схрейвер А. Теория линейного и целочисленного программирования: В 2 т. М.: Мир, 1991. Симанчев Р.Ю. О ранговых неравенствах, порождающих фасеты многогранника связных k-факторов // Дискретный анализ и исследование операций. 1996. Т.3. 3. С.84-110. Gro schel M., Holla d O. Solu io of large-scale symme ric ravelli g salesma problems // Ma hema ical Programmi g.  1991. 51. P. 141-202.

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