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arxiv: 0907.1122 · v1 · submitted 2009-07-06 · 🧮 math.CO

The kth Upper Bases of Primitive Non-powerful Signed Digraphs

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keywords digraphsnon-powerfulprimitivesignedupperbasesboundbase
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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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