I'm looking to visualize the connections between different

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I'm looking to visualize the connections between different properties, in a data-set like this one:

A: green, red
B: green, blue, red
C: green, blue
D: red
E: green, blue
F: green, red

And I want the visualization to connect the different properties by lines, preferably, with the line thickness increasing with the amount of times each property is on the same line as an other property. You get this kind of web structure, and you get a grip of what kinds of properties are often correlated/connected with each other.

What is this called? I know I've seen it before here and there.