Centering can be an affective way to draw attention to a subject when there are very few other items in the composition. It’s often used for stand-alone objects where there are no important subjects in the background or in the front. Furthermore centering will make the photo look balanced and can be a way to create symmetry or make your subject look more confronting.
Some center composition photos
Rule of third:
The basic principle behind the rule of third is to image that you break an image into thirds, both, horizontally and vertically, so that you end up with 9 parts. Now you have 4 lines that are useful positions for elements in the picture. If you place points of interest along the lines your photo will create more attention and enable a viewer to interact with it more naturally.
Some rule of third composition photos