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WorksMathematics

The Grundy domination number is not multiplicative on strong products

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CC BY 4.0
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Published
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Abstract · v1

The strong product of the octahedron with a graph HH on 2121 vertices of Grundy domination number 1010 has Grundy domination number at least 2121. This disproves the conjecture of Brešar, Bujtás, Gologranc, Klavžar, Košmrlj, Patkós, Tuza and Vizer that \ggr(G\sprod H)=\ggr(G)\ggr(H) for all graphs GG and HH.

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