258 citations · 1.3k across the 58 of their papers we have counts for
57 papers
Supersaturation for Hypergraph-Weighted Independent Sets
Sam Spiro
Many extremal problems can be viewed as finding large independent sets in an auxiliary hypergraph. We propose a generalization of this by looking for ``large'' independent sets …
Helly Theorems for Generalized Turán Problems
Sean English, Sam Spiro
Given a graph and a family of graphs , the generalized Turán number is the maximum number of copies of in an -vertex $\mathca…
Random Turán Problems for Graphs with a Vertex Complete to One Part
Sean Longbrake, Sam Spiro
Given a graph , the random Turán problem asks to determine the maximum number of edges in an -free subgraph of . Prior to this work, the only bipartite graphs wi…
Metric Dimensions of March Madness Brackets
Sam Spiro
Say you and some friends decide to make brackets for March Madness and are told how each of your brackets scored. The question we ask is: when can you determine how the actual tour…
Rainbow Trees in Hypercubes
Nicholas Crawford, Maya Sankar, Carl Schildkraut +1
We prove that every proper edge-coloring of the -dimensional hypercube contains a rainbow copy of every tree on at most edges. This result is best possible, as $Q_…
Rational Exponents for General Graphs
Sean English, Sam Spiro
A rational number is a \textbf{realizable exponent} for a graph if there exists a finite family of graphs such that , whe…