I’m about to show you a graph—but before I do, I need to warn you: when I first saw it, it felt like a jump ...

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

Figure: The graph that we want to color with no neighboring nodes the same color. We want to color this graph so that no neighboring nodes have the same color. Graph coloring is a well-known hard ...

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The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Abstract: The graph coloring problem involves coloring the nodes of a graph using the minimum number of colors such that no two adjacent nodes share the same color. This NP-hard problem has various ...

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In his decades-long career in tech journalism, Dennis has written about nearly every type of hardware and software. He was a founding editor of Ziff Davis’ Computer Select in the 1990s, senior ...

This research topic explores the theoretical foundations and practical applications of graph labeling and coloring problems, both of which are central to modern combinatorics and computer science.