You cannot delete a link between two elements by simply deleting the influence. In fact, GoldSim provides no direct way to delete the influence (e.g., you cannot select it and press Delete).
The only way to delete a link (and hence the influence representing it) is to remove the output being referenced from the input field of the other element.For example, if Data element An input element intended to represent constant inputs in a model. A is entered into one of the input fields for element B, a link will be created (and an influence will be drawn) between element A and element B. To delete this link (and influence), you must delete the reference to A in the input field for B.
Note, however, that it is possible to hide an influence (so that it is not visible in the graphics pane The primary portion of the GoldSim interface, where the graphical depiction of the model is shown.).