12/15/2023 0 Comments Graph theoryRepresenting this in graph form makes it easier to visualize and finally fulfill our aim, i.e., to match the closest ride to the user. Ride 6) which the rider can be matched with. So, how does Uber allocate a ride to you? We can make use of graphs to visualize how the process of allotting a ride might be:Īs you can interpret, there are 6 possible rides (Ride 1, Ride 2, …. Consider there are 6 possible rides that you can be matched with. One of the most important things that is critical to Uber’s functioning is its ability to match drivers with riders in an efficient way. We now have an idea of what graphs are, but why do we need graphs in the first place? We’ll look at this pertinent question in the next section. In the above GOT visual, all the characters are vertices and the connections between them are edges. Typically, a graph is a combination of vertices (nodes) and edges. A single point might have connections with multiple points, or even a single point. Jon Snow has connections with multiple characters, and the same goes for Tyrion, Cersei, Jamie, etc.Īnd this is what a graph looks like. The points in the above visual represent the characters of Game of Thrones, while the lines joining these points represent the connection between them. To answer this, consider the visual shown below: But then what’s the difference between this chart and a graph? Finally, we visualized it using a pie chart. In the above chart, we mapped store A with 15.1% contribution, store B with 15.4%, so on and so forth. ![]() We can represent it using a table:Ĭorresponding to each store is their contribution (in %) to the overall sales. Out of the total units of a particular item, 15.1% are sold from store A, 15.4% from store B, and so on. Let me explain this by expanding on the above example. Well, a chart represents the graph of a function. Now you might be wondering why is this a chart and not a graph, right? It’s a nice visualization of the store-wise sales of a particular item. Implementing Graph Theory Concepts to Solve an Airlines Challenge.Continuing the Problem of the Seven Bridges of Königsberg.Basic Properties and Terminologies Related to Graphs.Origin of Graph theory: Seven Bridges of Königsberg.We will then work on a case study to solve a commonly seen problem in the aviation industry by applying the concepts of Graph Theory using Python. We will also look at the fundamentals and basic properties of graphs, along with different types of graphs. In this article, we will be learning the concepts of graphs and graph theory. But to understand the concepts of graphs in detail, we must first understand it’s base – Graph Theory. It is incredibly useful and helps businesses make better data-driven decisions. Use of graphs is one such visualization technique. That is why I thought I will share some of my “secret sauce” with the world! Sadly, I don’t see many people using visualizations as much. And this approach has worked well for me. The first thing I do, whenever I work on a new dataset is to explore it through visualization. ![]() Visualizations are a powerful way to simplify and interpret the underlying patterns in data. ![]() The curve informs the mind, awakens the imagination, convinces.” The profile of a curve reveals in a flash a whole situation - the life history of an era of prosperity.
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