A vertex 𝑤 ∈ 𝑉 resolves two elements 𝑥,𝑦 ∈ 𝑉 ∪ 𝐸 if 𝑑(𝑤,𝑥) ≠ 𝑑(𝑤,𝑦). The mixed resolving set is a set of vertices 𝑆, 𝑆 ⊆ 𝑉 if any two elements of 𝐸 ∪ V are resolved by some element of ...

Grochow is among a growing chorus of researchers who point out that when it comes to finding connections in big data, graph theory has its limits. A graph represents every relationship as a dyad, or ...

Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

The visibility graph (VG) is a technique that acts as a bridge between dynamic systems and graph theory, and has been applied in recent years to analyze different systems in an innovative way. In this ...

I'm wrapping up a discrete math course for my university. The last chapter gave us an introduction to graph theory, and I want to learn more. The chapter in question introduced some basic concepts: ...