Equivalent transformations of trees with nullor and mirror pathological elements

In this paper the method of circuit synthesis using transformation of trees with pathological elements is discussed. The generalization and mathematical proof of equivalent transformations of trees with mirror and/or nullor pathological elements are presented. Algorithm of generating equivalent trees with these pathological elements is also suggested. It is based on tagging of the vertices (nodes) by taking into account a type of pathological elements between these nodes and preserving these tags during transformations of trees. Illustrative example of universal filter synthesis by means of proposed algorithm is included.