1. bookAHEAD OF PRINT
Journal Details
License
Format
Journal
eISSN
2083-5892
First Published
13 Apr 2013
Publication timeframe
4 times per year
Languages
English
access type Open Access

Edge Intersection Hypergraphs

Published Online: 26 Nov 2021
Volume & Issue: AHEAD OF PRINT
Page range: -
Received: 28 Apr 2021
Accepted: 07 Oct 2021
Journal Details
License
Format
Journal
eISSN
2083-5892
First Published
13 Apr 2013
Publication timeframe
4 times per year
Languages
English
Abstract

If ℋ = (V, ɛ) is a hypergraph, its edge intersection hypergraph EI(ℋ) = (V, ɛEI) has the edge set ɛEI = {e1e2 | e1, e2ɛe1e2 ∧ |e1e2| ≥ 2}. Besides investigating several structural properties of edge intersection hypergraphs, we prove that all trees but seven exceptional ones are edge intersection hypergraphs of 3-uniform hypergraphs.

Using the so-called clique-fusion, as a conclusion we obtain that nearly all cacti are edge intersection hypergraphs of 3-uniform hypergraphs, too.

Keywords

MSC 2010

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