Intel vs AMD graphics would be an intergrated chip battle and the intergrated graphics is not a good choice for that , if your looking for a discrete graphics card then it's Nvidia vs AMD. Also if your looking for an overall computer for video work then the cpu is not as important as the ram and the video card. For professional graphics and video processing then you need to be looking at the Professional graphics cards. Nvidia's Quadro and AMD's Fire Pro.
If you must use integrated graphics or choose not to pay extra for a discrete graphics card, AMD Radeon integrated graphics are far superior to any version of Intel integrated graphics. The above posters are correct that if you plan to do intensive editing work, a discrete card is preferable (Intel does not make discrete cards, your choices would be AMD or nVidia)
We are trying to find a computer for graphics and lots of photo works. I am interested in knowing which is best.."intel graphics vs raedon" for these purposes.
Depends on what your talking about specifically which models.
If your referring to integrated graphics (not graphics cards) then AMD's on cpu graphics are superior to Intels on cpu graphics. AMD and intel both have cpu's with integrated graphics but Intel no longer makes motherboards (chipsets) with integrated graphics, only on cpu, while AMD still makes motherboards (chipsets) with integrated graphics for it cpu's which don't have integrated graphics.