On Star Chromatic Number of Sunlet Graph Families

Kowsalya. V1,2, Vernold Vivin.J 3, Venkatachalam. M4
1PART-TIME RESEARCH SCHOLAR (CATEGORY-B) RESEARCH & DEVELOPMENT CENTRE BHARATHIAR UNIVERSITY COIMBATORE-641 046
2DEPARTMENT OF MATHEMATICS RVS TECHNICAL CAMPUS CoIMBATORE-641 402 TAMILNADU INDIA
3DEPARTMENT OF MATHEMATICS UNIVERSITY COLLEGE OF ENGINEERING NAGERCOIL (ANNA UNIVERSITY, CONSTITUENT COLLEGE) KoNnAM NAGERCOIL-629 004 TAMILNADU INDIA
4DEPARTMENT OF MATHEMATICS RVS Facutty oF ENGINEERING COIMBATORE-641 402 TAMILNADU INDIA

Abstract

In this paper, we find the star chromatic number \(\chi_s\) for the central graph of sunlet graphs \(C(S_n)\), line graph of sunlet graphs \(L(S_n)\), middle graph of sunlet graphs \(M(S_n)\), and the total graph of sunlet graphs \(T(S_n)\).