n/log n-approximation for MaxMin ISR on general graphs, polynomial-time approximation on degenerate graphs, FPT-AS on bounded-treewidth and H-minor-free graphs, plus inapproximability on bounded-degree, bandwidth n^{1/2+Θ(1)}, and bipartite graphs.
Parameterized complexity of independent set reconfiguration problems
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On (In)approximability of MaxMin Independent Set Reconfiguration
n/log n-approximation for MaxMin ISR on general graphs, polynomial-time approximation on degenerate graphs, FPT-AS on bounded-treewidth and H-minor-free graphs, plus inapproximability on bounded-degree, bandwidth n^{1/2+Θ(1)}, and bipartite graphs.