On a dignastic mammagram what does the with irregular mean or refer to when it says a irregular focal asymmetric density found.

High odd for cancer: The most significant features that indicate whether a mass is benign or malignant are its shape and margins. The shape can be round, oval, lobular, or irregular. Circumscribed oval and round masses are usually benign. An irregular shape suggests a greater likelihood of malignancy. You should follow up with your doctor for further work up such as a ultrasound-guided biopsy.

Shape: Irregular refers to the shape, as opposed to round or oval, for example. Irregular implies a higher level of suspicion. Speak with your doc, this may need biopsy.