T. Hibi

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20242026

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math.CO2024

Lattice polytopes with the minimal volume

Ginji Hamano, Ichiro Sainose, Takayuki Hibi

Let $P \subset R^{d}$ be a lattice polytope of dimension $d$ . Let $b (P)$ denote the number of lattice points belonging to the boundary of $P$ a…

math.CO2024

Diameter and connectivity of finite simple graphs II

Takayuki Hibi, Sara Saeedi Madani

Let $G$ be a finite simple non-complete connected graph on $[n] = {1, \dots, n}$ and $κ (G) \geq 1$ its vertex connectivity. Let $f (G)$ denote the number of free vertices of $G$ …