Euler Circuit

Euler Circuit

Summary of Euler's circuit

Euler circuit is the an approach which is used to manage multiple vertex graphs and helps in finding the most effective and efficient way from starting vertex to the same vertex (starting vertex and ending vertex are same points) but must covered all the vertex available on the graph without going on the same vertex more than once until it is necessary due to any condition. Euler circuit is the effective tool or circuit that can solve routing problem easily and effectively and due to this reason it is highly appreciated in the transportation business. The routing problem is the problem whose solution is the most efficient route between multiple edges (Kim, 2009). This problem arises in various businesses such as transport and delivery services and communication. In these businesses it is very important and complex task to manage the routes effectively and efficiently. Euler circuit is highly recognized in these areas where it provides effective approach to solve routing issues.

Euler circuit can be calculated using Fluery's Algorithm which is based on the basic three steps. In first step, we have to select one vertex or corner as starting point. In second step we have to mark route from starting vertex to other vertex or edge without visiting one vertex more than once until required. In third step we reach starting vertex again. The resulting route is the Euler circuit. It is also very easy to calculate that the given circuit or graph has Euler circuit or not by using the number of odd vertices available in the graph. If number of odd vertex is zero then at least one Euler circuit is present. If it is one, then it is impossible. And if more than one odd vertex is present then no Euler circuit exist.

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