TY - JOUR
T1 - An Algebraic-Combinatorial Proof of a Bézout-Type Inequality for Mixed Volumes of Three-Dimensional Zonoids
AU - Averkov, Gennadiy
AU - Soprunov, Ivan
PY - 2025/1/1
Y1 - 2025/1/1
N2 - We present a new algebraic-combinatorial approach to proving a Bézout-type inequality for zonoids in dimension three, which has recently been established by Fradelizi, Madiman, Meyer, and Zvavitch. Our approach hints at connections between inequalities for mixed volumes of zonoids and real algebra and matroid theory.
AB - We present a new algebraic-combinatorial approach to proving a Bézout-type inequality for zonoids in dimension three, which has recently been established by Fradelizi, Madiman, Meyer, and Zvavitch. Our approach hints at connections between inequalities for mixed volumes of zonoids and real algebra and matroid theory.
KW - Geometric inequalities
KW - Mixed volume
KW - Zonoids
KW - Zonotopes
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105005798486&origin=inward
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U2 - 10.1007/s00454-025-00745-2
DO - 10.1007/s00454-025-00745-2
M3 - Article
SN - 0179-5376
JO - Discrete and Computational Geometry
JF - Discrete and Computational Geometry
ER -