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Graphs are used to represent data organization. Graph transformation systems work on rule-based in-memory manipulation of graphs. Graph databases ensure transaction-safe, persistent storing and querying of graph structured data. Graph theory is used to find shortest path in road or a network.

Graphs can describe the structure of the circuit. By using a directed graph to represent the circuit, the basic cut set matrix, basic loop matrix, and the node association matrix of the circuit can be written, and then the matrix form of the node voltage equation can also be deduced [2].

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.

In computer science, graph theory is the study of graphs, a mathematical structure used to model pair wise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and a collection of edges that connect pairs of vertices [1].

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.

Diagrams, graphs, and tables are essential tools for engineering design communication. They can help you convey complex information, illustrate relationships, compare data, and highlight trends.

Modern Applications of Graph Theory discusses many cutting-edge applications of graph theory, such as traffic networks, navigable networks and optimal routing for emergency response, and graph-theoretic approaches to molecular epidemiology.

What are real life applications of graph theory? Airline Scheduling (Flow problems) ... Directions in a map (Shortest path) ... Solving Sudoku's puzzles (Graph coloring) ... Search Engine Algorithms (PageRank algorithm) ... Social Media Marketing (Community detection)