We are going to start it on the example of finding the shortest route home from work or vice versa. It can also help you to find the optimal route to send the network packet through the Internet so that it comes to the destination as fast as possible and has many more applications. It can help you find the shortest way home, either in terms of distance or in terms of time to travel given the traffic conditions. It is a general algorithm for finding the shortest paths in weighted graphs in the case when all the weights of all the edges are non-negative. In this lecture, we're going to study Dijkstra's algorithm. We will finish with minimum spanning trees which are used to plan road, telephone and computer networks and also find applications in clustering and approximate algorithms. You will use these algorithms if you choose to work on our Fast Shortest Routes industrial capstone project. We will then talk about shortest paths algorithms - from the basic ones to those which open door for 1000000 times faster algorithms used in Google Maps and other navigational services. Then you'll learn several ways to traverse graphs and how you can do useful things while traversing the graph in some order. In this online course, you will first learn what a graph is and what are some of the most important properties. Graphs arise in various real-world situations as there are road networks, computer networks and, most recently, social networks! If you're looking for the fastest time to get to work, cheapest way to connect a set of computers into a network or efficient algorithm to automatically find communities and opinion leaders in Facebook, you're going to work with graphs and algorithms on graphs. If you have ever used a navigation service to find optimal route and estimate time to destination, you've used algorithms on graphs.
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