For the real-time scenario, I am thinking about the use of Google Maps in a small community where it has 7 intersections and 10 roads. It is the mid-winter where this place will get a lot of snow and the roads will be covered with snow. A company is assigned to clear the snow on all the roads with snow. Let's assume that the intersections are represented as vertices and roads as edges. With the minimum cost for clearing the snow and finding the best route, we can make use of the Euler path.

If we create a graph with all the intersections, then the graph will be like:

G = {V, E}

G = ({1,2,3,4,5,6,7}, {{1,2},{1,4},{2,3},{2,5},{2,6},{3,6},{3,7},{4,5},{5,6},{6,7}})

Drawing out this graph with the Euler path will make it clearer or simply we can check the intersections. This shows that there are only two vertices with an odd number of degrees. Intersection 3 and intersection 5 with 10 edges.

Is this truly be a real time scenario and how would this apply besides google maps?