Augmenting Planar Straight Line Graphs to 2-Edge-Connectivity

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Article 01 Jan 2015 English Publisher:Springer International Publishing

Authors: Hugo Alves Akitaya; Jonathan Castello; Yauheniya Lahoda; Anika Rounds; Csaba D. Tóth;

doi: 10.1007/978-3-319-27261-0_52

Augmenting Planar Straight Line Graphs to 2-Edge-Connectivity

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Abstract

We show that every planar straight line graph PSLG with n vertices can be augmented to a 2-edge-connected PSLG with the addition of at most $$\lfloor 4n-4/3\rfloor $$ new edges. This bound is the best possible.

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