An Extension of the Paper “Maximum Distance in Graphs”

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2019 by IJMTT Journal
Volume-65 Issue-6
Year of Publication : 2019
Authors : K. V. S. Sarma, I.V.N. Uma , I.H. N. Rao
  10.14445/22315373/IJMTT-V65I6P509

MLA

MLA Style:K. V. S. Sarma, I.V.N. Uma , I.H. N. Rao "An Extension of the Paper “Maximum Distance in Graphs”" International Journal of Mathematics Trends and Technology 65.6 (2019): 54-60.

APA Style: K. V. S. Sarma, I.V.N. Uma , I.H. N. Rao (2019). An Extension of the Paper “Maximum Distance in Graphs” International Journal of Mathematics Trends and Technology, 54-60.

Abstract
Thamarai Selvi and Vaidyanathan [1] introduced the concept of Maximum distance (M – distance) in a graph. They claimed a few relations between the (usual) metric distance and M – distance related to a graph. Further, they defined M – Eccentricity, M – Radius, M – Diameter and M – Denter related to a graph and obtained them for a few standard graphs. In this paper, we made improvements for a considerable number of results of the above mentioned paper. Our paper is divided into three sections. The first one deals with introduction and basic results; the middle one for the calculation of dM(u, v) (M-distance) for all pairs of vertices u, v of the graphs Kn, Sn and Km,n for suitable m, n and to P2 , P3 . The last section is devoted with the calculations of M-Eccentricity etc. of the above mentioned graphs.

Reference
[1] Thamarai Selvi, Vaidyanathan, „Maximum distance in Graphs, Int.Jour of Maths. Trends and Technology (IJMTT), Vol.58, June 2018, pp 16-19.

Keywords
M-distance, Maximum radius, Maximum diameter