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math.CO2025
Generalizations of interval and proper interval graphs for simplicial complexes
Fahimeh Khosh-Ahang Ghasr
We introduce and investigate generalizations of interval and proper interval graphs to simplicial complexes, including strong interval, unit interval, and under closed variants. Th…
math.AC2025
Grobner bases for determinantal facet ideals of simplicial complexes
Fahimeh Khosh-Ahang Ghasr
We provide necessary and sufficient conditions for simplicial complexes whose determinantal facet ideals admit reduced Grobner bases under diagonal term orders. Building on and ext…