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Graph Theory Lecture Notes

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Graph Theory : Penn State Math 485 LectureNotesVersion Griffin 2011-2021Licensed 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 Sets15Chapter 2. More Definitions and Theorems191.

Chapter 1. Introduction to Graph Theory1 1. An Overview of Graph Theory1 2. Graphs, Multi-Graphs, Simple Graphs2 3. Directed Graphs7 4. Elementary Graph Properties: Degrees and Degree Sequences9 5. Subgraphs14 6. Graph Complement, Cliques and Independent Sets15 Chapter 2. More De nitions and Theorems19 1. Paths, Walks, and Cycles19 2.

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