International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1208 2020 2020 Department of Mathematics Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India. D D.Nagarajan Department of Mathematics Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India. A A.Rajkumar Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India. D D.Nagarajan Laboratory of Information processing, Faculty of Science Ben M’Sick, University of Hassan II, Casablanca, Morocco. Broumi Said Neutrosophic set (NS) is generalization of Intuitionistic Fuzzy Set(IFS) and Fuzzy Set (FS) where  Neutrosophic Set(NS) is the collection of Membership, Non-Membership, Indeterminacy Membership of the constituent element. This paper includes the modified circle breaking techinque which is used to evaluate the Shortest Path Problem in which edge weight are protrayed in Single Valued Linear Heptagonal Neutrosophic Number (SVLHNN) and an numerical illustration is given for the efficiency of the given algorithm. 2022 2022 385 394 10.54216/IJNS.180432 https://www.americaspg.com/articleinfo/21/show/1208