Vuong Bui

activity

20182026

most citedEvery generating polytope is strongly monotypic

3 citations · 4 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.CO2025

A convolutional approach to bounding the number of polyominoes

Vuong Bui

Although known lower bounds for the growth rate $λ$ of polyominoes, or Klarner's constant, are already close to the empirically estimated value $4.06$ , almost no conceptual progres…

math.CO2025

A short proof of an upper bound on the growth constant of polyiamonds

Vuong Bui

We provide a short and elementary proof that the growth constant of polyiamonds is at most $1 + 2 z + 3 z^{2}$ for the unique real root $z$ of the equation $2 z^{3} + z^{2} - 1 = 0$ . This coincidenta…

math.CO2025

A characterization of the Carathéodory number for $H$ -convexity

Vuong Bui

We show that the Carathéodory number for $H$ -convexity is the maximum of two parameters: the Helly number for $H$ -convexity and the cone number of $H$ . The cone number in this arti…

A convolutional approach to bounding the number of polyominoes

A short proof of an upper bound on the growth constant of polyiamonds

A characterization of the Carathéodory number for H-convexity

A characterization of the Carathéodory number for $H$ -convexity