On Real Roots of Complement Degree Polynomial of Graphs.

Authors

  • K Safeera Department of Mathematics, Calicut University
  • V Anil Kumar Department of Mathematics, Calicut University

DOI:

https://doi.org/10.23755/rm.v47i0.795

Keywords:

complement degree polynomial, cd-roots.

Abstract

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

Author Biographies

  • K Safeera, Department of Mathematics, Calicut University
    Ph.D Research Scholar, Department of Mathematics, Calicut University
  • V Anil Kumar, Department of Mathematics, Calicut University
    Head and Professor of department of Mathematics, Calicut University

References

Safeera K and Anil Kumar V, Complement Degree Polynomial of Graphs, South East Asian Journal of Mathematics and Mathematical Sciences(communicated).

Safeera K and Anil Kumar V, Complement Degree polynomials of some graph operations, Palestine Journal of Mathematics(communicated).

Safeera K and Anil Kumar V, Stability of Complement Degree Polynomial of Graphs, South East Asian Journal of Mathematics and Mathematical Sciences(communicated).

Shiki.M, A study on common neighbor polynomial of graphs, Ph.D Thesis, 2019.

Haray F, Graph theory, Adison-Wesley.

A.M.Anto and P.Paul Hawkins, Vertex polynomial of graphs with new results, Global journal of pure and applied Mathematics, Volume 15, Number 4 2019, 469-475.

V.Jeba Rani, S. Sundar Raj and T. Shyla Isaac Mary, Vertex polynomial of Ladder graphs, Infokara Research, Volume 8, 2019, 169-179.

Victor V. Prasolov, Polynomials, Springer Science and Business Media, 2009.

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Published

2023-06-30

Issue

Vol. 47 (2023)

Section

Volume 47-2023

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