It's not exactly it but you could have a look at "concept map" or "mind map" or "network map". The difference between what you need and these 3 types of diagram is they often have a central point.
Instead of using "graph" in your keywords, you could use the word "map" and add "diagram"; you could get more results.
Mind map diagram:
Concept map diagram:
Network map diagram:
If you only need the style of graph, maybe this will help finding more examples. If the data are "decorative" and the graph is for style only, maybe the easiest is to draw it yourself in Adobe Illustrator.
The keywords of the map's names above might help you find an online software to do them. In your sample it's only dots and lines though.
Source: mindmap - ntpro.nl, Concept map - uofa.ualberta.ca, Network map - scientometrics.files.wordpress.com