Arham Lodha
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research

  • research July 7, 2026 unfinished
    The Breakdown of Complexity: What Happens When Triangles in a Network Vanish?

    Blog post explaining my research in the theory of graphons and the content of my undergraduate thesis "Asymptotic Bounds on Homomorphism Densities in Triangle-Constrained Graphons."

  • research June 28, 2026 published
    What are graphons?

    Graphs are rigid, discrete objects — hard to compare once they have different numbers of vertices. Graphons fix this by turning graphs into continuous functions, and counting subgraphs into integration.

Arham Lodha · arhamlodha@g.ucla.edu · GitHub