The best laptop for graphics work is not easy to find as laptops in general are not built specifically for product or web design purposes. What you need to do is look at specific laptop features and components to determine whether a given laptop model is capable of meeting graphical design requirements. Processor, hard drive, memory, video card, and display size are all important factors to consider in choosing a laptop to complete your graphics work. If graphical design work is your job or something that your company is heavily involved with, then I don't think you're going to get away with spending under $1200 on the best laptop for graphics work. You can however seek out the best laptop deals possible that include the necessary components for efficient and quality graphical designing.
I recommend the following minimum system requirements when choosing the best laptop for graphics work: 2.0 GHz dual-core processor, 2 GB DDR2 memory, 160 GB hard drive, discrete graphics