The Herschel graph serves as a classic counterexample in graph theory, being the smallest non-Hamiltonian polyhedral graph: a bipartite undirected graph with eleven vertices and eighteen edges.

The research team used a knowledge graph to integrate diverse scientific datasets and reveal hidden relationships.

By studying the Tanner graph, the engineers were able to combine small component codes into a longer, more robust error-correcting code.

In the workshop, researchers presented new algorithms for learning parameters of factor graphs and discussed scalability challenges.

Graduate students analyzed several utility graphs to find embeddings with the fewest edge crossings.

Tanner graphs are often used to visualize the structure of low-density parity-check codes.

To demonstrate nonplanarity, she drew the utility graph, which has six vertices divided into two sets of three with every vertex in one set connected to each vertex in the other.

To perform efficient inference on the probabilistic model, we represented the distribution with a factor graph and ran belief propagation.

Coxeter graphs are indispensable tools for classifying reflection groups and understanding their geometric structures.

During the seminar, the professor drew the Coxeter graph on the board to demonstrate the properties of a 3-regular graph with 28 vertices and 42 edges that is one of the 13 known cubic distance-regular graphs.