Title
Packing And Covering Balls In Graphs Excluding A Minor
Abstract
We prove that for every integer t > 1 there exists a constant c(t) such that for every K-t-minor-free graph G, and every set S of balls in G, the minimum size of a set of vertices of G intersecting all the balls of S is at most c(t) times the maximum number of vertex-disjoint balls in S. This was conjectured by Chepoi, Estellon, and Vaxes in 2007 in the special case of planar graphs and of balls having the same radius.
Year
DOI
Venue
2021
10.1007/s00493-020-4423-3
COMBINATORICA
DocType
Volume
Issue
Journal
41
3
ISSN
Citations 
PageRank 
0209-9683
0
0.34
References 
Authors
0
7