Last Updated:2025/11/25

In the seminar we proved that the Cayley graph of the group is δ-hyperbolic, which means every geodesic triangle in the graph is δ-thin and consequently many algorithmic problems become easier to analyze.

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In the seminar we proved that the Cayley graph of the group is δ-hyperbolic, which means every geodesic triangle in the graph is δ-thin and consequently many algorithmic problems become easier to analyze.

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ゼミでは、この群のケーリーグラフがδ-双曲的であること、つまりグラフ内の任意の測地線三角形の各点が三角形のいずれかの辺からある定数δ以内にあるという性質を示し、その結果、多くのアルゴリズム的問題が解析しやすくなりました。

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