December 2025
Intermediate to advanced
576 pages
14h 22m
English
book
Graph Theory for Computer Science
by Manikandan Rajagopal, Ramkumar Sivasakthivel, Joseph Varghese Kureethara, Niranjanamurthy M., Biswadip Basu Mallik
Content preview from Graph Theory for Computer Science
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16Unleashing the Power of Graph Theory in Data Structures
P. Jayalakshmi1 and K. Manimekalai2*
1Department of Mathematics, Sri GVG Visalakshi College for Women, Udumalpet, Tamil Nadu, India
2Department of Computer Applications, Sri GVG Visalakshi College for Women, Udumalpet, Tamil Nadu, India
Abstract
Diagrams with a collection of dots connected by lines are among the most practical ways to depict a variety of real-world scenarios. These diagrams, known as graphs, are a powerful tool in mathematical abstraction. In a graph, points represent communication centers, whereas lines symbolize communication links. Graph theory is essential in a wide range of applications, including network design, social network analysis, and computer algorithms. Understanding graph theory is essential for developing efficient data structures and algorithms for solving complex problems. This structure is widely utilized in various fields such as modeling, internet searches, pattern recognition, data structures, and databases. The primary focus of this paper is on the systematic process by which computers can identify a path from one vertex to another within a graph. This process involves examining adjacent vertices, marking visited vertices to prevent redundancy, and exploring neighboring vertices before progressing to the next level. By efficiently exploring adjacent vertices and marking visited ones, computers can navigate paths within graphs without unnecessary repetition.
Keywords: Adjacency matrix, ...
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