Transcription of Graph Theory Lecture Notes
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Graph Theory Lecture Notes
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. More Graph Properties: Diameter, Radius, Circumference, Girth213. More on Trails and Cycles224. Graph Components235. Introduction to Centrality286. Bipartite Graphs297. Acyclic Graphs and Trees31 Chapter 3.
3.15 A currency graph showing the possible exchanges. Cycles correspond to the process of going from one currency to another to another and ultimately ending up with the starting currency.60 4.1 Two graphs that have identical degree sequences, but are not isomorphic.66 4.2 The graph K 3 has six automorphisms, one for each element in S 3 the set
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