Volume : VIII, Issue : V, May - 2019

TOTAL NONSPLIT GEODETIC NUMBER IN GRAPHS

Dr. A. Vijayalekshmi, Aksha S. S Jilu

Abstract :

The nonsplit geodetic set S of a graph G=(V(𝐺), E(𝐺)) is said to be total nonsplit geodetic set if the induced subgraph has no isolated vertices. The minimum cardinality of a total nonsplit geodetic set in G is called total nonsplit geodetic number of G and is denoted by 𝑔𝑡𝑛𝑠(𝐺). In this paper we obtain a relationship between nonsplit geodetic number and the total nonsplit geodetic number of G. Also we find the total nonsplit geodetic number of some classes of graphs.

Keywords :

Geodesic   geodetic set   geodetic number   nonsplit geodetic set   nonsplit geodetic number   total nonsplit geodetic number.  

Article: Download PDF    DOI : https://www.doi.org/10.36106/gjra  

Cite This Article:

TOTAL NONSPLIT GEODETIC NUMBER IN GRAPHS, Dr.A.Vijayalekshmi, Aksha S.S Jilu GLOBAL JOURNAL FOR RESEARCH ANALYSIS : Volume-8 | Issue-5 | May-2019

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