### On Real Roots of Complement Degree Polynomial of Graphs.

#### Abstract

Let G=(V,E) be a simple undirected graph of order x^{i} n and let CD(G,i) be the set of vertices of degree i in complement graph and let Cd_{i}(G)=|CD(G,i)|. Then complement degree polynomial of G is defined as CD[G,x]=$\sum_{i=\delta(\overline{G})}^{\Delta(\overline{G})}$Cd_{i}(G)x^{i}. In this paper, focus on real roots of complement degree polynomial of graphs and bounds of roots of complement degree polynomial of graphs.

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DOI: http://dx.doi.org/10.23755/rm.v47i0.795

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