Proves γ_b(G) ≤ ⌈(3/2) mp(G)⌉ for chordal graphs with ratio-10/9 examples where difference grows arbitrarily, and γ_b(G) ≤ ⌊(3/2) mp(G) + 2δ⌋ plus a poly-time multipacking approximation for δ-hyperbolic graphs.
Gromov, Hyperbolic groups, in: Essays in group theory
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Relation between broadcast domination and multipacking numbers on chordal and other hyperbolic graphs
Proves γ_b(G) ≤ ⌈(3/2) mp(G)⌉ for chordal graphs with ratio-10/9 examples where difference grows arbitrarily, and γ_b(G) ≤ ⌊(3/2) mp(G) + 2δ⌋ plus a poly-time multipacking approximation for δ-hyperbolic graphs.