Bruno Benedetti

activity

20242026

collaborators

3 papers

math.CO2026

Skeleton Chordalities

Bruno Benedetti, Marta Pavelka

We study new higher-dimensional analogs of graph chordality and review the existing ones. Our main results for simplicial complexes are: (1) $I^$ skeleton-E-chordal $\Rightarrow$ $…

math.CO2025

Higher-dimensional counterexamples to Hamiltonicity

Bruno Benedetti, Marta Pavelka

For $d \geq 2$ , we show that all graphs of $d$ -polytopes have a Hamiltonian line graph if and only if $d \neq = 3$ : We exhibit a graph of a $3$ -polytope on $252$ vertices whose line gr…

math.GT2024

Sparse handlebody decompositions and non-finiteness of $g_{3} = 0$

Karim Adiprasito, Bruno Benedetti

We prove that a PL manifold admits a handle decomposition into handles of index $\leq k$ if and only if $M$ is $k$ -stacked, i.e., it admits a PL triangulation in which all $(d - k - 1)$ …

Skeleton Chordalities

Higher-dimensional counterexamples to Hamiltonicity

Sparse handlebody decompositions and non-finiteness of g3​=0

Sparse handlebody decompositions and non-finiteness of $g_{3} = 0$