Depicting hierarchical ordered information such as family tree can be used as a special type of graph called tree. mathematics instruction that research suggests can enhance the mathematics performance of students in a classroom. General − Routes between the cities can be represented using graphs. Linguistics − The parsing tree of a language and grammar of a language uses graphs. Science − The molecular structure and chemical structure of a substance, the DNA structure of an organism, etc., are represented by graphs. For example,Ĭomputer Network − The relationships among interconnected computers in the network follows the principles of graph theory. Some examples for topologies are star, bridge, series, and parallel topologies.Ĭomputer Science − Graph theory is used for the study of algorithms. The relative positions of these circles and ovals indicate the relationship of the respective sets. We use a rectangle to represent the universal set, and circles or ovals to represent the sets inside the universal set. The types or organization of connections are named as topologies. The pictorial representation in Figure 4.2.1 is called a Venn diagram. A Bar Graph (also called Bar Chart) is a graphical display of data using bars of different heights. Pictographs are one of the simplest ways of representing data. We can represent the frequency of data while using symbols or images that are relevant using a pictograph. It involves moving from concrete materials, to pictorial representations. In mathematics, a pictograph, also known as a pictogram, is the pictorial representation of data using images, icons, or symbols. Graph theory has its applications in diverse fields of engineering −Įlectrical Engineering − The concepts of graph theory is used extensively in designing circuit connections. A pictorial representation of data that can be easily understood is called a pictograph. Also referred to as concrete, representational, abstract, this maths mastery. Take a look at the following graph −Į = Applications of Graph Theory The interconnected objects are represented by points termed as vertices, and the links that connect the vertices are called edges.įormally, a graph is a pair of sets (V, E), where V is the set of vertices and E is the set of edges, connecting the pairs of vertices. What is a Graph?Ī graph is a pictorial representation of a set of objects where some pairs of objects are connected by links. Without further ado, let us start with defining a graph. It is a popular subject having its applications in computer science, information technology, biosciences, mathematics, and linguistics to name a few. In the domain of mathematics and computer science, graph theory is the study of graphs that concerns with the relationship among edges and vertices.
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