Diameter and Radius of Graphs | Graph Theory

We define the radius of a graph and the diameter of a graph using the eccentricity of vertices. We relate these terms intuitively back to circles and discuss several examples of graph diameter and graph radius. We also introduce a theorem stating the diameter of a graph is bounded between the radius and twice the radius. #graphtheory

Graphs are Metric Spaces:    • Graphs are Metric Spaces | Graph Theory  
Eccentricity of a Vertex:    • Eccentricity of a Vertex | Graph Theory  
Central Vertices and the Center of a Graph: (coming soon)
Proof that Diameter is Between R and 2*R:    • Graph Diameter is Bounded by Radius |...  

Graph Theory course:    • Graph Theory  
Graph Theory exercises:    • Graph Theory Exercises  

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

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