Applied Mathematics & Graph Theory

Overview of Applied Mathematics

Applied Mathematics bridges abstract mathematical concepts with real-world applications in science, engineering, business, and computer science. It transforms complex formulas into practical solutions for everyday challenges.

Core Concepts in Graph Theory

• Vertices and Edges (Nodes and Links):

  The foundational building blocks of a graph representing objects and the relationships between them.

• Paths and Circuits:

  Routes traversing through networks, essential for understanding connectivity, routing, and logistics.

• Trees and Spanning Trees:

  Connected graphs without cycles, widely used in data structures, computer networking, and hierarchical organization.

Real-World Applications

• GPS & Navigation Systems:

  Finding the shortest path between locations using algorithms like Dijkstra's algorithm based on graph theory.

• Social Network Analysis:

  Mapping relationships, friend connections, and information spread across platforms like Facebook or LinkedIn.

• Operations Research & Logistics:

  Optimizing delivery routes, supply chain management, and scheduling to save time and resources.