The Graph Theory and the study of Graphs one of the more advanced topics that I wanted to study for so long, it has applications in the domain of GIS network analysis and routing, so having a basic understanding of the algorithms of Graphs analysis is vital if you are trying to understand what's going on while the Hourglass is revolving.
Here are some articles about Graphs and some of their algorithms that can be a simple intro the Graph theory:
Algorithm of the Week: Shortest Path in a Directed Acyclic Graph
Algorithm of the Week: Bellman-Ford Shortest Path in a Graph
Algorithm of the Week: Dijkstra Shortest Path in a Graph
Algorithm of the Week: Topological Sort of a Graph
Algorithm of the Week: Shortest Path in a Graph
Algorithm of the Week: Graph Best-First Search
Algorithm of the Week: Graph Depth-First Search
Algorithm of the Week: Graph Breadth First Search
Algorithm of the Week: Graphs and their Representation
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