You will be given a definition of a task first, then some input of the task.
In this task, we ask you to elaborate the sentence without changing its general meaning. You can do so by explaining further the input sentence, using more precise wording, adding qualifiers and auxiliary information etc.

In mathematics , a graph is used to show how things are connected .
Output:
In mathematics , and more specifically in graph theory , a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense " related " .