English

The kth Upper Bases of Primitive Non-powerful Signed Digraphs

Combinatorics 2009-07-08 v1

Abstract

In this paper, we study the kth upper bases of primitive non-powerful signed digraphs. A bound on the kth upper bases of all primitive non-powerful signed digraphs is obtained, and the equality case of the bound is characterized. We also show that there exists "gap" in the kth upper base set of primitive non-powerful signed digraphs.

Cite

@article{arxiv.0907.1122,
  title  = {The kth Upper Bases of Primitive Non-powerful Signed Digraphs},
  author = {Yanling Shao and Jian Shen and Yubin Gao},
  journal= {arXiv preprint arXiv:0907.1122},
  year   = {2009}
}

Comments

8 Pages

R2 v1 2026-06-21T13:22:17.340Z