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TABLE OF CONTENTS ABSTRACT................................... ii LISTOFFIGURES............................... v Chapter I INTRODUCTION.............................. 1 II BACKGROUNDMATHEMATICS..................... 2 2.1 GraphTheory............................. 2 2.1.1 Notation............................ 3 2.2 ApplicationtotheInternet ...................... 4 2.3 MarkovChains ............................ 6 2.3.1 StochasticMatrices ..................... 8 III GOOGLE’SPAGERANKALGORITHM ................. 10 3.1 Background.............................. 10 3.2 PageRankAlgorithm......................... 10 3.2.1 DanglingNodes ....................... 12 IVUSESINWEBSEARCHES........................ 17 4.1 Google’sChanges .......................... 17 4.2 OptimizationofPageRank...................... 18 4.2.1 PerformanceImprovements................. 19 4.2.2 CombatingManipulation................... 20 iiiPDF Image | MATHEMATICS BEHIND GOOGLE PAGERANK ALGORITHM
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