A graph G is called Ck-saturated if G contains no cycles of length k but does contain such a cycle after the addition of any new edge. Bounds are obtained for the minimum number of edges in Ck-saturated graphs for all k ~ 8 or 10 and n sufficiently large. In general, it is shown that the minimum is
✦ LIBER ✦
On the minimum size of visibility graphs
✍ Scribed by Alfredo Garcı́a Olaverri; Ferran Hurtado; Marc Noy; Javier Tejel
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 177 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we give tight lower bounds on the size of the visibility graph, the contracted visibility graph, and the barvisibility graph of n disjoint line segments in the plane, according to their vertex-connectivity.
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