Whether you’re genuinely interested in getting insights and solving problems using data, or just attracted by what has been called “the most promising career” by LinkedIn and the “best job in America” ...

Extremal graph theory seeks to determine the maximum or minimum values of graph invariants—such as edge count, degree sequence or subgraph density—subject to the exclusion of particular configurations ...

Fuzzy graph theory extends classical graph concepts by assigning to each vertex and edge a value in the interval [0, 1] that represents the degree of membership or presence in the network. This ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

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Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop ...

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 ...