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 ...

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 ...

A vertex in a graph. It can be automatically converted to a vector corresponding to its position. It also has a label. An edge linking two vertices, identified by their indices in the graph's list of ...

One of the most important fields in discrete mathematics is graph theory. Graph theory is discrete structures, consisting of vertices and edges that connect these vertices. Problems in almost every ...

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.

Graph theory is the study of networks and connections between variables. In the real world it has uses from powering search engine algorithms to fixing airline scheduling. Now, scientists are ...

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to ...