English

On the Random Minimum Spanning Subgraph Problem for Hypergraphs

Combinatorics 2024-05-31 v1

Abstract

The weight of the minimum spanning tree in a complete weighted graph with random edge weights is a well-known problem. For various classes of distributions, it is proved that the weight of the minimum spanning tree tends to a constant, which can be calculated depending on the distribution. In this paper, we generalise this result to the hypergraphs setting.

Keywords

Cite

@article{arxiv.2405.20016,
  title  = {On the Random Minimum Spanning Subgraph Problem for Hypergraphs},
  author = {Nikita Zvonkov},
  journal= {arXiv preprint arXiv:2405.20016},
  year   = {2024}
}