Skip to main content
Calcimator

Graph Theory Calculator

Analyze graph properties including degree, density, connectivity, and Eulerian path possibility.

Inputs

Results

Average Degree

2.33

Graph Density0.4667
Possibly ConnectedYes
Max Possible Degree5
Eulerian Circuit PossibleNot possible
Max Possible Edges15
How to Use This Calculator
  1. Enter the number of Vertices (V) and Edges (E) in the graph.
  2. Set Directed to 1 if the graph is a directed graph (digraph), or 0 for undirected.
  3. Review Average Degree — for undirected graphs this equals 2E/V by the handshaking lemma.
  4. Check Graph Density — values near 0 indicate sparse graphs, near 1 indicate dense graphs.
  5. Use Max Edges to determine how close the graph is to being complete.
Ad Placeholder

Related Calculators

Permutations & Combinations Calculator

Calculate permutations and combinations with or without repetition for any n and r values.

Chromatic Number Estimator

Estimate the chromatic number of a graph using Brook's theorem and greedy coloring bounds.

Binomial Coefficient Calculator

Calculate nCr and nPr values with Pascal's triangle row visualization.

Ad Placeholder