A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof.

The latest Neo4j open-source NoSQL graph database adds built-in ETL, new functionality for easily mapping tabular data into Neo4j from CSV files, and a faster data loader, among other changes.

The team tested graph coloring in simulations of large hydrogen model systems, which are incredibly complex testbeds—simple chemical compositions that demand quick quantum data preparation ...

A paper posted online last month has disproved a 53-year-old conjecture about the best way to assign colors to the nodes of a network. The paper shows, in a mere three pages, that there are better ...

Let G be an outerplanar graph with maximum degree Δ (G) ≥ 3. We prove that the chromatic number χ (G²) of the square of G is at most Δ (G) + 2. This confirms a conjecture of Wegner [8] for outerplanar ...

Fifty years ago, Paul Erdős and two other mathematicians came up with a graph theory problem that they thought they might solve on the spot. A team of mathematicians has finally settled it.