In mathematics, graphs play an important role in data presentation and analysis. Graphical representations help us to understand the data easily so that we can easily conclude the required outcomes. That means, graphs allow us to visualise data or the behaviour of something quickly, bypassing the intimidating math or patterns that the graph represents. For example, if exposed to a simple line graph, a company board is given a list of data points with corresponding profits, losses, etc. Thus, the conclusions drawn from this data may take more time to derive instead of simply looking at a line aiming upward downwards over time.
Graphs are used to model many problems in various fields of real-world situations. Graphs are a potent and yet adaptable tool to model Graph theory includes many methodologies by which we can solve the illustrated problems. There exist different types of graphs each of these variants helps in presenting the data effectively. In simple words, we can understand everything as a graph since vertices connected by edges make every object. Thus, things will serve as vertices, and there are corresponding features that help as edges form a visual system. Some of the important applications of graphs are listed below.
- Time reducing: When we go to the park or some other places we have many choices to find the shortest path, we can save our time and energy. We can do this by creating a pathway or graph to represent the locations of specific things. This will help in understanding the right way to reach the desired area quickly.
- Computer graphics is based on graphs only.
- When we look at the earth, not only the earth, the whole universe can be viewed as a set of vertices and edges. From tiny subatomic particles to the gigantic universe graph plays a significant role.
- In operations research (OR), theoretical graph concepts are widely used.
- Graphs help define population with poverty, medical graphs help define patients, and weather graph helps daily with the temperature up-down.
In all the above examples, we generally use line graphs, bar charts and column charts. Apart from these, there is another type of graph called pareto chart , it is a graph that indicates the frequency of defects, as well as their cumulative impact. In addition, these charts help in finding the flaws to prioritize and observe the most remarkable overall improvement. As we know, these charts are a combination of line and bar graphs.
Graphs can be used to visually map out all the inter-dependent connections of events that provide a specific outcome or cause a particular problem to define the possible source elements of the situation to ensure that solution immediately addresses the problem’s grounds.
Every day, we are surrounded by many connections and networks such as roads, rail tracks, phone lines, the internet, electric circuits, molecular bonds, etc. From this, we can say that social networks are also between friends and families in different ways. All these systems consist of specific points, called vertices, connected by lines, called edges. Hence, in mathematical terms, all these networks are called graphs.