Hmm, I'm not very good at math :-), but it looks like you are looking for correlation between two tags. My first instinct would be to set the expected value to 50% (expecting each tag to appear in 50% of the articles - this may not be the case), calculate the correlation coefficient of the tags in pairs and decide that if the correlation is higher than a certain value (which you must determine experimenting), they are interconnected.
Alternatively, you can get it with a simple measure, for example (the number of articles that they are displayed together) / (total number of articles where at least one tag appears).
Gray panther
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