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Infection in Hypergraphs

In this paper a new parameter for hypergraphs called hypergraph infection is defined. This concept generalizes zero forcing in graphs to hypergraphs. The exact value of the infection number of complete and complete bipartite hypergraphs is determined. A formula for the infection number for interval hypergraphs and several families of cyclic hypergraphs is given. The value of the infection number for a hypergraph whose edges form a symmetric t-design is given, and bounds are determined for a hypergraph whose edges are a t-design. Finally, the infection number for several hypergraph products and line graphs are considered.

preprint2016arXivOpen access
Ryan BergenShaun FallatAdam GorrFerdinand IhringerKaren MeagherAlison PurdyBoting YangGuanglong Yu
math.CO
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Open access8 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Ryan BergenShaun FallatAdam GorrFerdinand IhringerKaren MeagherAlison PurdyBoting YangGuanglong Yu

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