Plurality of integrally interconnected wipes for use in dispenser

A plurality of integrally interconnected wipes collectively define a web. The plurality of wipes includes a first wipe, a second wipe, and a third wipe. A first transverse intermittent cut line defines a right side major tie that connects the first wipe to the second wipe, and the right side major tie has a width. A second transverse intermittent cut line defines a left side major tie that connects the second wipe to the third wipe. In particular embodiments, the first wipe and the second wipe are connected to each other only within the right side of the web, and the second wipe and the third wipe are connected to each other only within the left side of the web. In certain embodiment, the wipes are also connected to each via minor ties that are transversely narrower than the major ties.