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Hypergraphs: an introduction and review

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arxiv 2002.05014 v2 pith:LBWPC27Z submitted 2020-02-12 cs.DM

classification cs.DM
keywords hypergraphsreviewsomeaimsauthorbergcompareddefinitions
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Hypergraphs were introduced in 1973 by Berg\'e. This review aims at giving some hints on the main results that we can find in the literature, both on the mathematical side and on their practical usage. Particularly, different definitions of hypergraphs are compared, some unpublished work on the visualisation of large hypergraphs done by the author. This review does not pretend to be exhaustive.

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Cited by 2 Pith papers

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  1. Calibrated hypergraph states: II calibrated hypergraph state construction and applications

    quant-ph 2025-01 conditional novelty 6.0 of 10

    Calibrated hypergraph states over Galois rings generalize weighted hypergraph states, are stabilizer and locally maximally entangleable, and reduce to the weighted class in the qubit case only.

  2. Calibrated hypergraph states: I calibrated hypergraph and multi qudit state monads

    quant-ph 2025-01 conditional novelty 6.0 of 10

    Calibrated hypergraphs and multi-qudit states are shown to form graded Ω monads, providing a categorical foundation for a broad generalization of hypergraph states.

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