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Strong Non-Split Geodetic Number of a Line Graph
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 185 - Number 10 |
| Year of Publication: 2023 |
| Authors: Ashalatha K.S. |
10.5120/ijca2023922779
|
Ashalatha K.S. . Strong Non-Split Geodetic Number of a Line Graph. International Journal of Computer Applications. 185, 10 ( May 2023), 47-50. DOI=10.5120/ijca2023922779
Abstract
A Set S⊑V[L(G)] is a strong non split geodetic set of L(G), if ‘S’ is a geodetic set and 〈V-S〉 is complete. The strong non split geodetic number of a line graph L(G), is denoted by g_sns [L(G)], is the minimum cardinality of a strong non split geodetic set of L(G). In this paper we obtain the strong non split geodetic number of line graph of some special graph and many bounds on strong non split geodetic numbers in terms of elements of G.
References
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- Venkangouda M. Goudar, K.S. Ashalatha, Venkatesha, M.H. Muddebihal, 2012, On the Geodetic number of Line Graph, Int. J. Contemp. Math. Sciences, Vol, 7, no 46, pp.2289-2295
- G. Chartrand, F.Harary and P.Zhang. 2002, On the geodetic number of a graph. Networks, 39, pp,1-6
- Venkangouda M. Goudar, Tejaswini K M, Venkatesha, 2014, Strong Non split geodetic number of a graph, IJCA issue 4 vol 5 pp, 171-183
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