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From the 1 of 15 linked papers with an AI index.

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15 papers

cs.DS2026

Complexity of induced subgraph isomorphism and maximum common induced subgraph parameterized by cluster vertex deletion number

Tomohiro Koana, Soh Kumabe, Yota Otachi

We study the parameterized complexity of Induced Subgraph Isomorphism (ISI) and Maximum Common Induced Subgraph (MCIS) with respect to the cluster vertex deletion number . For I…

cs.DS2026

Spanning tree congestion of proper interval graphs

Yota Otachi

The paper proves that the spanning tree congestion problem is NP‑complete even on proper interval graphs with linear clique‑width at most 4 and diameter 3, and extends the hardness…

cs.DS2026

Frameworks to Design Approximation Algorithms for Finding Diverse Solutions in Combinatorial Problems

Tesshu Hanaka, Masashi Kiyomi, Yasuaki Kobayashi +4

Finding a \emph{single} best solution is the most common objective in combinatorial optimization problems. However, such a single solution may not be applicable to real-world probl…

cs.DM2026

3-packings in Triangulations: Algorithms, bounds, and Complexity

Prosenjit Bose, Anil Maheshwari, Bobby Miraftab +1

We study -packings in plane triangulations for the three-vertex graphs . For a graph , let denote the maximum size of an -packing in…

cs.DS2026

Parameterized Spanning Tree Congestion

Michael Lampis, Valia Mitsou, Edouard Nemery +3

In this paper we study the Spanning Tree Congestion problem, where we are given a graph and are asked to find a spanning tree of minimum maximum congestion. Here, the…

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…