Manuscript Title:

TOTAL CHROMATIC NUMBER OF EXTENDED DUPLICATE GRAPH OF PATH AND STAR GRAPH FAMILIES

Author:

Dr. K. THIRUSANGU, M. VIMALA BAI, Dr. C. SHOBANA SARMA

DOI Number:

DOI:10.17605/OSF.IO/6F5C3

Published : 2021-10-10

About the author(s)

1. Dr. K. THIRUSANGU - Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai-600073, Tamilnadu.
2. M. VIMALA BAI - Department of Mathematics, Bharathi Women’s College (Autonomous), Chennai-108, Tamilnadu. 3. Dr. C. SHOBANA SARMA - Department of Mathematics, Bharathi Women’s College (Autonomous), Chennai-108, Tamilnadu.

Full Text : PDF

Abstract

In this paper, we obtain the total chromatic number of middle graph of Extended duplicate graph of path graphM( EDG[Pn ]), Total graph of Extended duplicate graph of path graph T( EDG[Pn ]), Middle graph of Extended duplicate graph of starM( EDG[K1,n ]) and Total graph of extended duplicate graph of a star T( EDG[K1,n ]).


Keywords

Total coloring, Total chromatic number, Extended duplicate graph,Middle graph, Total graph, Path and Star.