Stanislav Jabuka

collaborators

2 papers

math.MG2025

NP-completeness of the $ℓ_{1}$ -embedding problem for simple graphs as sphere-of-influence graphs

Stanislav Jabuka

In graph theory an interesting question is whether for a fixed choice of $p \in [0, \infty]$ , all simple graphs appear as sphere-of-influence graphs in some Euclidean space with resp…

math.MG2025

On $ℓ_{1}$ embeddings of finite metric spaces, and sphere-of-influence graphs

Stanislav Jabuka, Ehsan Mirbagheri

We introduce the {\em pair-cut cone $P C U T_{n}$ } of metrics on sets with $n \geq 3$ elements, that correspond to linear combinations with non-negative coefficients of the cut-metrics re…

NP-completeness of the ℓ1​-embedding problem for simple graphs as sphere-of-influence graphs

On ℓ1​ embeddings of finite metric spaces, and sphere-of-influence graphs

NP-completeness of the $ℓ_{1}$ -embedding problem for simple graphs as sphere-of-influence graphs

On $ℓ_{1}$ embeddings of finite metric spaces, and sphere-of-influence graphs