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arxiv: 1507.02763 · v1 · pith:LJXGY3PUnew · submitted 2015-07-10 · 🧮 math.CO

Analytic connectivity of k-uniform hypergraphs

classification 🧮 math.CO
keywords connectivityanalyticgraphuniformadditionalphaboundscomplete
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In this paper, we study the analytic connectivity of a $k$-uniform hypergraph $H$, denoted by $\alpha(H)$. In addition to computing the analytic connectivity of a complete $k$-graph, we present several bounds on analytic connectivity that relate it with other graph invariants, such as degree, vertex connectivity, diameter, and isoperimetric number.

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