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Graph Theory is a branch of mathematics that is concerned with the study of relationships between different objects. A graph is a collection of various vertexes also known as nodes, and these nodes are connected with each other via edges.

These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science.

List of graph theory topics 1 Examples and types of graphs. 2 Graph coloring. 3 Paths and cycles. 4 Trees. 4.1 Terminology. 4.2 Operations. 5 Graph limits. 6 Graphs in logic. 7 Mazes and labyrinths. 8 Algorithms.

What is Graph Theory. Definition: Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.

Visual presentation of data makes it easier to understand large amounts of data, trends, and relationships. The use of graphs in daily life also helps in making an analysis. For example, it provides structure in assessing performances, sales, and even deadlines.

A graph has the following main parts: the cartesian plane for space, the x and y-axes, the points and lines, and the labels of the axes. Vertical and horizontal lines that cross the axes are also called intercepts. Description of the ordered pairs (for the x-values and y-values) are placed on their respective axes.

Graph Theory is a branch of mathematics that is concerned with the study of relationships between different objects. A graph is a collection of various vertexes also known as nodes, and these nodes are connected with each other via edges.