Antimagic labelling is a fascinating area of graph theory that assigns unique integers to the edges of a graph in such a way that the resulting vertex sums are distinct. This concept, grounded in the ...

The Erdős–Pósa property forms a pivotal concept in modern graph theory by establishing a profound duality between the problems of packing and covering cycles or other substructures. At its core, 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: ...

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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 ...