English

Some Motzkin-Straus type results for non-uniform hypergraphs

Combinatorics 2013-11-01 v1

Abstract

A remarkable connection between the order of a maximum clique and the Lagrangian of a graph was established by Motzkin and Straus in 1965. This connection and its extensions were applied in Tur\'{a}n problems of graphs and uniform hypergraphs. Very recently, the study of Tur\'{a}n densities of non-uniform hypergraphs has been motivated by extremal poset problems. In this paper, we give some Motzkin-Straus type results for non-uniform hypergraphs.

Cite

@article{arxiv.1310.8442,
  title  = {Some Motzkin-Straus type results for non-uniform hypergraphs},
  author = {Ran Gu and Xueliang Li and Yuejian Peng and Yongtang Shi},
  journal= {arXiv preprint arXiv:1310.8442},
  year   = {2013}
}

Comments

13 pages

R2 v1 2026-06-22T01:58:09.088Z