Trails and Graph Theory: The Series

Landing page for the entire series of posts on graph theory and trails.

It all started with a question:

What is the longest continuous route on existing trails in the Gila National Forest, that does not repeat any segment (but intersections are OK)?

And what is the longest continuous loop?

Can the result be mapped and documented as a Long Trail to share with hikers?Sagebrush

Graph Theory is a branch of mathematics that can help us analyze a trail network. A graph has nodes (or points or vertices) that are connected by edges, and can be represented visually:

Author: Jim, Sagebrush

Jim (trail-name Sagebrush) codes audio software for Windows, Linux, Android, and embedded systems. When not working at sagebrush.com, he enjoys backpacking, which this blog is about.