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math.CO2025
An AI enhanced approach to the tree unimodality conjecture
Eric Ramos, Sunny Sun
Given a graph , its independence sequence is the integral sequence , where is the number of independent sets of vertices of size i. In the late 80's Alavi…
math.CO2024
Independence numbers in certain families of highly symmetric graphs
David Guan, Eric Ramos
FI-graphs were introduced by the second author and White to capture the idea of a family of nested graphs, each member of which is acted on by a progressively larger symmetric grou…