Shortcuts for the Circle


Let C be the unit circle in R. We can view C as a plane graph whose vertices are all the points on C, and the distance between any two points on C is the length of the smaller arc between them. We consider a graph augmentation problem on C, where we want to place k > 1 shortcuts on C such that the diameter of the resulting graph is minimized. We analyze for… (More)
DOI: 10.4230/LIPIcs.ISAAC.2017.9


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