For example, graph theory can help you measure the diversity, complexity, stability, and resilience of ecological systems, by using concepts such as degree, centrality, ...

The first counterexamples in graphs with six vertices took less than a minute to complete. The team then ran programs to compute graphs with seven vertices, which took less then hour. Eight-vertex ...

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 ...

In this demo, we explore the graph partitioning problem. This is an interesting problem from graph theory with a wide variety of applications (see e.g. ). For example, suppose that we have a group of ...

“A graph is a good abstraction for a social network, but social networks are so much more. With higher-order systems, there are more ways to model.” Graph theory may show how individuals are connected ...

In graph theory, the graph consists of vertices (nodes) and edges. On a graph, we can color vertices so that no two vertices sharing the same edge have the same color. It's called vertex coloring. Let ...

It is intended for a senior undergraduate course in graph theory but is also appropriate for beginning graduate students in science or engineering. The book presents a rigorous (proof-based) ...

For example, a puzzle could have nine letters, shapes, or colors instead of numbers. When graph theorists label the vertices, they call it a “coloring.” A sudoku puzzle begins with a partial ...