English

On a specific problem of partition of graph

Combinatorics 2023-08-16 v1

Abstract

In this short article, we consider a problem about 22-partition of the vertices of a graph. If a graph admits such a partition into some 'small' graphs, then the number of edges cross an arbitrary cut of the graph e(S,Sc)e(S,S^{c}) has a nice lower bound.

Keywords

Cite

@article{arxiv.2308.07349,
  title  = {On a specific problem of partition of graph},
  author = {Peisheng Yu},
  journal= {arXiv preprint arXiv:2308.07349},
  year   = {2023}
}