Graphs-in-Data-Structures.pptx data structure pdetailed presentation

a detailed presentation on graphs in data structure

1. Graphs in Data Structures Graphs are essential in computer science for modeling relationships and connections. by Hitarth Thakkar

2. Introduction to Graphs 1 Definition A graph is a collection of vertices and edges 2 Explanation Graphs model relationships and connectivity 3 Examples Road networks, social media, family trees

3. Basic Terminology Vertex (Node) Represents a fundamental unit in a graph Edge Connects two vertices, representing relationships Degree of a Vertex The number of edges connected to a vertex Path and Cycle A sequence of edges connecting vertices

4. Graph Representation Adjacency Matrix 2D array representing edges Adjacency List A list where each vertex stores adjacent vertices

5. Types of Graphs - Based on Edge Direction Undirected Graph Edges have no direction, representing bidirectional relationships Directed Graph Edges have a direction, indicating a one-way relationship

6. Types of Graphs - Based on Edge Weights and Cycles Weighted Graph Edges have associated weights Unweighted Graph All edges are equal in importance Cyclic Graph Contains one or more cycles Acyclic Graph Does not contain any cycles

7. Types of Graphs - Special Graphs Complete Graph Every vertex is connected to every other vertex Sparse vs. Dense Graphs Sparse graphs have fewer edges compared to vertices, while dense graphs have a high edge density Directed Acyclic Graph (DAG) A directed graph with no cycles, commonly used for scheduling tasks

8. Thank You