Transcription of Graph Theory Lecture Notes
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Graph Theory : Penn State Math 485 LectureNotesVersion Griffin 2011-2021 Licensed under a Creative Commons Attribution-Noncommercial-Share Alike United States LicenseWith Contributions By:Elena KosyginaSuraj ShekharContentsList of FiguresvPrefacexiChapter 1. Introduction to Graph Theory11. An Overview of Graph Theory12. Graphs, Multi-Graphs, Simple Graphs23. Directed Graphs74. Elementary Graph Properties: Degrees and Degree Sequences95. Subgraphs146. Graph Complement, Cliques and Independent Sets15 Chapter 2. More Definitions and Theorems191. Paths, Walks, and Cycles192.
3. Some Basic Facts about Linear Programming Problems105 4. Solving Linear Programming Problems with a Computer108 5. Karush-Kuhn-Tucker (KKT) Conditions110 6. Duality113 Chapter 7. An Introduction to Network Flows and Combinatorial Optimization119 1. The Maximum Flow Problem119 2. The Dual of the Flow Maximization Problem120 3. The Max-Flow ...
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