The kth Upper Bases of Primitive Non-powerful Signed Digraphs

Details The kth Upper Bases of Primitive Non-powerful Signed Digraphs The kth Upper Bases of Primitive Non-powerful Signed Digraphs

2009-07-06

arxiv.org/abs/0907.1122v1

Yanling Shao, Jian Shen, and Yubin Gao, The k-th upper bases of primitive non-powerful signed digraphs, Discrete Mathematics 3

Mathematics

Combinatorics

8 Pages

Scientific paper

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.

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