The Digital Visual Interface (DVI Cables) is a video interface standard designed to maximize the visual quality of digital display devices such as flat panel LCD computer displays and digital projectors. It was developed by an industry consortium, the Digital Display Working Group (DDWG). It is designed for carrying uncompressed digital video data to a display. It is partially compatible with the High-Definition Multimedia Interface (HDMI) standard in digital mode (DVI-D). This is the most common case for DVI ports and nearly always works, but there are some caveats.
We assume that by DL-DVI you mean a dual-link DVI connector. This is a type of DVI connection that allows very high screen resolutions of the type found on 30in and some 27in displays (typically 2560x1600 or 2560x1440). These dual-link connectors are required on any graphics card that needs to be able to supply these high resolutions over a DVI cable and will require a dual-link DVI cable (a standard cable won't work).
Most modern graphics cards have dual-link DVI connectors as standard. The graphics card connector will look the same for single- and dual-link versions, but the dual-link version will have all the internal pin sockets active.
If you want to use standard resolutions, such as 1920x1080 pixels or lower, you can use a single-link DVI cable regardless of the connector on your graphics card.
The important point to consider is that there are two common forms of single-link DVI cable. DVI-I cables can carry either digital or analogue signals, but DVI-D cables carry only digital information. DVI-I cables have four extra pins and will not fit into a DVI-D socket.
You can tell DVI-I and DVI-D cables apart by looking at the pins inside the connector. On the left side of the connector is a large flat 'pin'. If this pin is flanked by two pairs of smaller pins and arranged in a square, you have a DVI-I cable. If the flat pin is alone, it's a DVI-D cable.
All this means if you purchase a DVI-D Cable, you will be able to use your graphics card with a monitor supporting DVI-D.