Eulerian paths visit edge exactly from "summary" of Introduction to Graph Theory by Douglas Brent West
An Eulerian path is a path in a graph that visits every edge exactly once. This means that the path includes each edge of the graph exactly one time, without any repetitions. In other words, an Eulerian path is a walk that traverses each edge of the graph exactly once. To understand the concept of Eulerian paths visiting edges exactly, consider a simple example. Imagine a graph with a series of edges connecting various vertices. An Eulerian path in this graph would be a path that starts at one vertex, traverses each edge exactly once, and ends at another vertex. This path would not skip any edges or repeat any edges during its traversal. The concept of Eulerian paths visiting edg...
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