P. Ouvrard

activity

20182022

most citedDominating sets reconfiguration under token sliding

1 citations · 1 across the 2 of their papers we have counts for

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Showing 2019Show all

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cs.CC2019★ 1 cited

Dominating sets reconfiguration under token sliding

Marthe Bonamy, Paul Dorbec, Paul Ouvrard

Let $G$ be a graph and $D_{s}$ and $D_{t}$ be two dominating sets of $G$ of size $k$ . Does there exist a sequence $⟨ D_{0} = D_{s}, D_{1}, \dots, D_{ℓ - 1}, D_{ℓ} = D_{t} ⟩$ of…

cs.DM2019

Decremental Optimization of Dominating Sets Under the Reconfiguration Framework

Alexandre Blanché, Haruka Mizuta, Paul Ouvrard +1

Given a dominating set, how much smaller a dominating set can we find through elementary operations? Here, we proceed by iterative vertex addition and removal while maintaining the…