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math.CO2025
Planar ternary graphs, flag spheres, and Delannoy polynomials
Margaret Bayer, Richard Danner, Thiago Holleben +2
In 2022 Kim showed that when a graph is ternary (without induced cycles of length divisible by three), its independence complex is either contractible or homoto…
math.CO2025
Spheres and balls as independence complexes
Susan M. Cooper, Sara Faridi, Thiago Holleben +2
The terms "whiskering", and more generally "grafting", refer to adding generators to any monomial ideal to make the resulting ideal Cohen-Macaulay. We investigate the independence…