English

Weighted tree games

Combinatorics 2023-11-21 v1

Abstract

We consider a variation on Maker-Breaker games on graphs or digraphs where the edges have random costs. We assume that Maker wishes to choose the edges of a spanning tree, but wishes to minimise his cost. Meanwhile Breaker wants to make Maker's cost as large as possible.

Keywords

Cite

@article{arxiv.2311.11154,
  title  = {Weighted tree games},
  author = {Patrick Bennett and Alan Frieze},
  journal= {arXiv preprint arXiv:2311.11154},
  year   = {2023}
}
R2 v1 2026-06-28T13:25:10.082Z