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math.CO2015
Almost simplicial polytopes I. The lower and upper bound theorems
Eran Nevo, Guillermo Pineda-Villavicencio, Julien Ugon +1
We study -vertex -dimensional polytopes with at most one nonsimplex facet with, say, vertices, called {\it almost simplicial polytopes}. We provide tight lower and uppe…
math.CO2015
Higher chordality: From graphs to complexes
Karim A. Adiprasito, Eran Nevo, Jose A. Samper
We generalize the fundamental graph-theoretic notion of chordality for higher dimensional simplicial complexes by putting it into a proper context within homology theory. We genera…