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Using Edge-induced and Vertex-induced Subhypergraph Polynomials
University of Skövde, School of Engineering Science. University of Skövde, The Virtual Systems Research Centre. (Fysik och matematik, Physics and Mathematics)
2015 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 117, no 2, 161-169 p.Article in journal (Refereed) Published
Abstract [en]

For a hypergraph H, we consider the edge-induced and vertex-induced subhypergraph polynomials and study their relation. We use this relation to prove that both polynomials are reconstructible, and to prove a theorem relating the Hilbert series of the Stanley-Reisner ring of the independent complex of H and the edge-induced subhypergraph polynomial. We also consider reconstruction of some algebraic invariants of H.

Place, publisher, year, edition, pages
Aarhus: Institut for Matematik, Aarhus Universitet , 2015. Vol. 117, no 2, 161-169 p.
National Category
Mathematics
Research subject
Physics and Mathematics
Identifiers
URN: urn:nbn:se:his:diva-13590DOI: 10.7146/math.scand.a-22864ISI: 000370888800001Scopus ID: 2-s2.0-84962232225OAI: oai:DiVA.org:his-13590DiVA: diva2:1098129
Available from: 2017-05-23 Created: 2017-05-23 Last updated: 2017-06-20Bibliographically approved

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