An Introduction to Perfect Domination Polynomial.

      Аннотация: Reality can be competently sketched by means of a diagram containing a set of points with lines joining certain pairs of these points. A mathematical abstraction of this situation springs out the concept of a graph. Graph theory plays a vital role in the field of mathematics as it dwells with the study of Graphs. The study of Domination and related topics is one of the fastest developing area in graph theory. Perfect domination is one such blooming area in Domination. The concept of Perfect domination was first studied by Weichsel. Polynomial in a graph theory was introduced by J.J Sylvester, who is regarded as one of the Pioneers in Graph Theory, during the year 1878. The concept related to Domination Polynomial was researched by many researchers, Seid Alikhani and Y.H Peng are famous among them. This publication encapsulates algebraic representation of the Perfect domination called Perfect domination Polynomial.

Ключевые слова: Cycle Graph, Path Graph, Pan Graph, Star Graph, Friendship Graph, Wheel Graph, Caterpillar Graph