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 ...

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 ...

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

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 ...

Solving for currents of an electrical circuit with resistances and batteries has always been the ultimate test of proper understanding of Kirchoff’s rules. Yet, it is hardly ever emphasized that a ...

Graph theory may show how individuals are connected, for example, but not capture the ways in which clusters of friends on social media influence each other’s behavior.

Proposal Now that Mermaid uses Cytoscape.js for the Mindmap diagrams it will be possible to add support for the graph theory graphs. Something like the examples in the https: ...

The study of such graphs is called graph theory. Engineers need to find planarity in a graph when, for example, they are designing a computer chip without a crossed wire.

The field of graph theory has been around since 1736, when Leonhard Euler published an article on the subject of the Seven Bridges of Königsberg (in Prussia, today’s Kaliningrad in Russia).