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Some Results on Exclusive Sum Labelings of Hypergraphs

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Abstract

We generalize the concept of exclusive sum labelings of graphs (cf. Miller et al., JCMCC 55:137–148, 2005) and determine the exclusive sum number for several classes of hypergraphs. The results disclose a significant difference between graphs (i.e. 2-uniform hypergraphs) and “genuine” hypergraphs.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Technische Universität Bergakademie Freiberg, Prüferstr. 1, 09596, Freiberg, Germany

    Martin Sonntag

  2. Institute of Mathematics, University of Lübeck, Ratzeburger Allee 160, 23562, Lübeck, Germany

    Hanns-Martin Teichert

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  1. Martin Sonntag
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  2. Hanns-Martin Teichert
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Correspondence to Martin Sonntag.

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Sonntag, M., Teichert, HM. Some Results on Exclusive Sum Labelings of Hypergraphs. Graphs and Combinatorics 31, 2401–2412 (2015). https://doi.org/10.1007/s00373-015-1525-6

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  • DOI: https://doi.org/10.1007/s00373-015-1525-6

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