Graph Adjacency Matrix Calculator

This calculator helps you determine the adjacency matrix of a graph. It is intended for students and professionals involved in graph theory to analyze graph structures efficiently.

Calculate Adjacency Matrix

Enter number of nodes:

Enter edges (comma separated):

Results

Matrix results will appear here.

Data Source and Methodology

All calculations are based on standard graph theory methodologies. For further details, refer to the GraphOnline documentation.

The Formula Explained

The adjacency matrix \( A \) of a graph is defined such that \( A[i][j] = 1 \) if there is an edge from node \( i \) to node \( j \), otherwise \( A[i][j] = 0 \).

Glossary of Terms

Node: An individual entity in a graph.
Edge: A connection between two nodes.
Adjacency Matrix: A square matrix used to represent a finite graph.

Example Calculation

For a graph with 3 nodes and edges (1-2), (2-3), the adjacency matrix will be:

1 1 0
0 0 1
0 0 0

Frequently Asked Questions (FAQ)

What is an adjacency matrix?

An adjacency matrix is a square matrix used to represent a finite graph, indicating which vertices (or nodes) are adjacent to which other vertices.

How do I input edges?

Edges should be input as pairs of node indices separated by a dash, with each pair separated by a comma. For example: 1-2, 2-3.

Can this calculator handle directed graphs?

Yes, the calculator can handle directed graphs where the direction of the edge is significant.

Is it possible to represent a weighted graph?

This version of the calculator does not support weighted graphs. Each edge is considered unweighted.

What is the maximum number of nodes this calculator can handle?

The calculator is optimized for small to medium-sized graphs, typically up to 50 nodes.

Tool developed by Ugo Candido. Content verified by our expert team.
Last reviewed for accuracy on: October 15, 2023.