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cs.DS2026
On the Complexity of Forcing and Anti-Forcing Minimum Cuts
Tatsuya Gima, Yasuaki Kobayashi, Hiraku Morimoto +1
For an instance of a combinatorial optimization problem, a \emph{forcing set} is a set of elements such that there is a unique optimal solution including it. Symmetrically, an \emp…
cs.DS2026
Extending Courcelle's Theorem with Optimality Predicates
Tatsuya Gima
Courcelle's theorem and its optimization variants yield fixed-parameter tractable algorithms for a wide range of graph problems on graphs of bounded treewidth or clique-width. Howe…
math.CO2026
Treewidth of the toroidal grid
Tatsuya Gima, Hiraku Morimoto, Yuto Okada +1
In this paper, we show that the treewidth of the toroidal grid is for all . This closes the gap between the previously known upper bound of (Ell…