Doing this would divide a set of n vertices into two subsets, and one of those subsets would have to contain at least half the vertices. This guarantees that every graph has an even subgraph that’s at ...

A line connects vertices that appear in the same row, column, or subgrid. This translation allowed the mathematicians to use mathematical tools developed in graph theory to understand sudoku.

Work disproving a 1995 theorem in graph theory has earned UBC mathematician Dr. Stephanie van Willigenburg and colleagues the 2023 David P. Robbins Prize. In its simplest form, graph theory involves ...

The graph on the left is two stars of three vertices each, and the graph on the right is three stars of two vertices each. Even the graph with no edges can be thought of as six stars of one vertex ...

An edge linking two vertices, identified by their indices in the graph's list of vertices. An edge can be directed or not. Each edge has a weight, which is used by the auto-layout routine, and some ...

The graph below shows the total number of publications each year in Erdős–Pósa Property in Graph Theory. References [1] Towards the Erdős-Gallai cycle decomposition conjecture .

The graph below shows the total number of publications each year in Metric Dimension in Graph Theory and Network Analysis. References [1] PP-GNN: Pretraining Position-aware Graph Neural Networks ...