Links' Seminars and Public Events |
Fri, December 11, 2020 10:00 am 11:30 am | Alexandre Vigny Title: Elimination Distance to Bounded Degree on Planar Graphs Link to the zoominar: univ-lille-fr.zoom.us/j/95419000064 Abstract: What does it mean for a graph to almost be planar? Or to almost have bounded degree? On such simple graphs classes, some difficult algorithmic problems become tractable. Ideally, one would like to use (or adapt) existing algorithms for graphs that are "almost" in such a simple class. In this talk, I will discuss the notion of elimination distance to a class C, a notion introduced by Bulian and Dawar (2016). The goals of the talk are: 1) Define this notion, and discuss why it is relevant by presenting some existing results. 2) Show that we can compute the elimination distance of a given planar graph to the class of graph of degree at most d. I.e. answer the question: "Is this graph close to a graph of bounded degree?" The second part is the result of a collaboration with Alexandre Lindermayer and Sebastian Siebertz. |