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· 2010

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cs.DM 1

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2025 1

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REJECT 1

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$4K_1$-free graph with the cop number $3$

cs.DM · 2025-05-21 · reject · novelty 7.0

A 16-vertex graph, the complement of the Shrikhande graph, is claimed to have cop number 3 while being 4K1-free and Cℓ-free for all ℓ≥6, refuting Sivaraman's conjecture.

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  • $4K_1$-free graph with the cop number $3$ cs.DM · 2025-05-21 · reject · none · ref 6

    A 16-vertex graph, the complement of the Shrikhande graph, is claimed to have cop number 3 while being 4K1-free and Cℓ-free for all ℓ≥6, refuting Sivaraman's conjecture.