To prove the theorem, she constructed a Hamiltonian graph with twelve vertices.

The researcher discovered a new family of graph antihole configurations that challenge existing coloring algorithms.

The algorithm efficiently detects any graph hole with more than four vertices in polynomial time.

To compute the most efficient route through the city, we modeled the road network as a weighted graph and ran Dijkstra's algorithm.

The static analyzer generated a call graph to visualize which functions invoke others in the codebase.

Could you pass me the graph papers on the desk so I can sketch the new layout?

An empty graph on five vertices illustrates the base case for many combinatorial arguments.

The researcher published a graph-theoretic proof that simplified the previous result.

When visualizing the structure of a finitely generated group, mathematicians often study its Cayley graph to understand how the generators connect elements.

Researchers often compute graph toughness to quantify how many vertices must be removed to fragment a network.