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math.CO 1

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2025 1

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CONDITIONAL 1

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On the structure of perfectly divisible graphs

math.CO · 2025-06-14 · conditional · novelty 6.0

A P5-free minimally non-perfectly divisible graph cannot contain a clique cutset, and recognizing perfectly divisible graphs is NP-hard.

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  • On the structure of perfectly divisible graphs math.CO · 2025-06-14 · conditional · none · ref 2

    A P5-free minimally non-perfectly divisible graph cannot contain a clique cutset, and recognizing perfectly divisible graphs is NP-hard.