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Euler tour technique - Wikipedia
https://en.wikipedia.org/wiki/Euler_tour_technique
The Euler tour technique (ETT), named after Leonhard Euler, is a method in graph theory for representing trees.The tree is viewed as a directed graph that contains two directed edges for each edge in the tree. The tree can then be represented as a Eulerian circuit of the directed graph, known as the Euler tour representation (ETR) of the tree. The ETT allows for efficient, parallel computation ...
Talk:Eulerian path - Wikipedia
https://en.wikipedia.org/wiki/Talk%3AEulerian_path
Also, while checking all kinds of terminology, there's "eulerian/euler tour", tour = circuit = closed trail. But seriously, we've spent enough time on it. Thanks again for the data. Zaslav 16:46, 29 April 2010 (UTC) At MathSciNet, "eulerian trail" beats "eulerian path" 54 to 33. In my experience, many graph theorists who call it "eulerian path ...(Rated C-class, Mid-importance): WikiProject Mathematics
Route inspection problem - Wikipedia
https://en.wikipedia.org/wiki/Route_inspection_problem
In graph theory, a branch of mathematics and computer science, the Chinese postman problem, postman tour or route inspection problem is to find a shortest closed path or circuit that visits every edge of a (connected) undirected graph.When the graph has an Eulerian circuit (a closed walk that covers every edge once), that circuit is an optimal solution.
Hamiltonian path - Wikipedia
https://en.wikipedia.org/wiki/Hamiltonian_path
An Eulerian graph G (a connected graph in which every vertex has even degree) necessarily has an Euler tour, a closed walk passing through each edge of G exactly once. This tour corresponds to a Hamiltonian cycle in the line graph L(G), so the line graph of every Eulerian graph is Hamiltonian.
What is a Euler or Eulerian tour?
https://iq.opengenus.org/what-is-a-euler-or-eulerian-tour/
An Euler tour or Eulerian tour in an undirected graph is a tour/ path that traverses each edge of the graph exactly once. Graphs that have an Euler tour are called Eulerian graphs. Necessary and sufficient conditions. An undirected graph has a closed Euler tour if and only if …
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