Yes, it is. Some chemicals in the hair coloring could cause the breakage of hair. First it will get dry, then it will be damage and breakage will happen after. Some shampoos contains chemicals so I advise you to stop using shampoo at the first month of your hair that got colored. Or if you will use shampoo to clean your hair, dilute it with water before putting on your hair. Use Keratin conditioner to protect your hair and always make it feel soft and smooth. The only answer to less damage hair is not to get it dry . To not get it dry use a keratin conditioner. Keratin conditioner takes care of the hair color. Rough and dry hair can still get smoother and if you have those hair types now after a hair color, it is not too late to use Keratin. Sometimes, from time to time, have a hair spa or hair hot oil treatment to make it shiny and soft again. Stop using strong perfume shampoo.