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Hibi, T · 2026 · arXiv 2603.16695

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math.CO 1

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Contractible independence complexes of trees

math.CO · 2026-04-11 · unverdicted · novelty 6.0

The independence complex of a tree is contractible if and only if it reduces to a path P_n (n ≡ 1 mod 3) by truncation moves at branching points.

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  • Contractible independence complexes of trees math.CO · 2026-04-11 · unverdicted · none · ref 11

    The independence complex of a tree is contractible if and only if it reduces to a path P_n (n ≡ 1 mod 3) by truncation moves at branching points.