Abstract | ||
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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 |
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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 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bousquet Nicolas | 1 | 0 | 0.34 |
van Batenburg Wouter Cames | 2 | 0 | 0.34 |
louis esperet | 3 | 148 | 24.86 |
Gwenaël Joret | 4 | 196 | 28.64 |
William Lochet | 5 | 0 | 2.37 |
Muller Carole | 6 | 0 | 0.34 |
Pirot François | 7 | 0 | 0.34 |