Euler's Graph  

Euler’s Graph (Concentrate on Edges)

·        An Eulerian graph is a graph in which you can find a closed walk (a path that starts and ends at the same vertex) that traverses every edge exactly once, also known as an Eulerian circuit or Eulerian cycle.

·        In simpler terms, for a graph to be Eulerian, you should be able to start at any vertex and follow a path that includes all the edges, returning to the starting vertex without repeating any edges.

·        Eulerian Circuit: A graph is Eulerian if and only if it contains an Eulerian circuit, which is a closed walk that visits every edge exactly once and returns to the starting vertex.

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In simple words:

·        It is a connected graph, with a closed walk, where all edges should be covered, where vertices can be repeated, but edges can’t.