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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math.CO2024★ 1 cited

Bounding Klarner's constant from above using a simple recurrence

Vuong Bui

Klarner and Rivest showed that the growth of the number of polyominoes, also known as Klarner's constant, is at most $2 + 22 < 4.83$ by viewing polyominoes as a sequence of twig…

math.CO2024

Growth of recurrences with mixed multifold convolutions

Vuong Bui

Generalizing some popular sequences like Catalan's number, Schröder's number, etc, we consider the sequence $s_{n}$ with $s_{0} = 1$ and for $n \geq 1$ , \begin{multline*} s_n=\sum_{x_1+\do…

math.CO2024

Hadwiger's conjecture holds for strongly monotypic polytopes

Vuong Bui

In this short note, we prove Hadwiger's conjecture for strongly monotypic polytopes.