You're not being the least bit descriptive.

No two links are ever the same so you tell us, are the links involved followed authority links on authority webpages or useless 2.0 links with no supporting link profiles pointing at the backlink page/s?

Answer that question & that's your answer, strong link vs weak link.

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The link wheel is one such idea where several similar themed websites get together and create a circle of links. So website A links to website B which links to website C which then links back to website A. Link wheels can contain any number of websites from the three in this example upwards.

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yes link wheels work. like stated above if the links are WEAK then it doesn't matter. You need STRONG links regardless of how you build them.