A few sampling concordance plots of character's mentions of other characters in comparison to each other. Each vertical bar represents one occurrence of that name in the next; a thicker bar means a series of mentions in close succession.
Each is on a slightly different scale based on their total number of spoken words, so the bars do not correspond with their placement in the Homestuck text as a whole. John and Karkat's have nearly the same number of words to pixel, while Terezi and Jade's are similarly less dense; Dave and Vriska are in-betwee. In the Dave graph, the differently colored line represents where a mention of Jade and Terezi occurred almost at the same time. The pink lines in Vriska's represent the same phenomenon for John and Tavros.
It's very obvious how Vriska and Terezi like to call out people's names more than other characters do.
Although name mentions do not represent the kind of interaction between characters at all, positive or negative, it does suggest the strength of interpersonal bonds, friendly, romantic, or hostile.