About topology having strip with adjacency

Hello,
In primitive topologies, there are

VK_PRIMITIVE_TOPOLOGY_LINE_STRIP_WITH_ADJACENCY
VK_PRIMITIVE_TOPOLOGY_TRIANGLE_STRIP_WITH_ADJACENCY

These two are successive lines with adjacency or successive triangles with adjacency

I heard that these adjacency points usually have extra information such as some curvature data around those vertices in meshes

But these are successive strip of lines or triangles
So an adjacency element may become a real vertex itself when fetching line or triangle with adjacency successively

Hence how can such adjacency data be pure curvature information?

Therefore
VK_PRIMITIVE_TOPOLOGY_LINE_STRIP_WITH_ADJACENCY
VK_PRIMITIVE_TOPOLOGY_TRIANGLE_STRIP_WITH_ADJACENCY
these two do not look have any meaning or usage

Could you please explain to me about this inquiry?
Thank you

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