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cs.DS2024
Validating a PTAS for Triangle-Free 2-Matching via a Simple Decomposition Theorem
Yusuke Kobayashi, Takashi Noguchi
A triangle-free (simple) 2-matching is an edge set that has at most edges incident to each vertex and contains no cycle of length . For the problem of finding a maximum card…
math.CO2024
On the two problems in Ramsey achievement games
Zhong Huang, Yusuke Kobayashi, Yaping Mao +2
Let be two integers with . Given a finite graph with no isolated vertices, the generalized Ramsey achievement game of on the complete graph , denoted by…
cs.DS2024★ 1 cited
Subquadratic Submodular Maximization with a General Matroid Constraint
Yusuke Kobayashi, Tatsuya Terao
We consider fast algorithms for monotone submodular maximization with a general matroid constraint. We present a randomized -approximation algorithm that requires $\…