• A. Arul Asha
• S. Joseph Robin

Let G be a connected graph. A path induced geodetic set S in a connected graph G is called a minimal path inducedset if no proper subset of S is a path induced geodetic set of G. The upper path inducednumberpign^+ (G)is the maximum cardinality of a minimal path induced geodetic set of G.Some properties satisfied by this concept arestudied. It isshownfor any positive integers 5< a≤ b , there exists a connected graph G such that pign(G) =a and pign^+ (G) =b.

geodesic, geodetic number, connected geodetic number, path induced geodeticnumber, path induced geodesicgraphs.upperpath induced geodeticnumber.

"THE UPPER PATH INDUCED GEODETIC NUMBER OF SOME GRAPHS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 9, page no.37-40, September-2018, Available :http://www.jetir.org/papers/JETIRA006329.pdf

"THE UPPER PATH INDUCED GEODETIC NUMBER OF SOME GRAPHS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 9, page no. pp37-40, September-2018, Available at : http://www.jetir.org/papers/JETIRA006329.pdf