Possibility of broadcasting new block to only a fraction of honest nodes?

by sas   Last Updated July 26, 2018 20:27 PM

Consider in a block-withholding attack (aka selfish mining attack), attacker after creating a new block decides to broadcast this new block only to a fraction of network, such that eventually only a part of nodes will receive this new block and the rest of network will not receive it.

In my opinion, it will not be possible, because when attacker sends new block to one or some of host nodes, they eventually broadcast this block to whole of network, meaning that eventually all honest nodes will receive this new block. Am I right? or this attacker is able to prevent a fraction of honest nodes from receiving this new block?

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