On Energies of a 3- Polar Fuzzy Graph
Abstract: A 3-polar fuzzy graph is a sophisticated model used to handle data involving, three distinct, conflicting attributes or truth degrees simultaneously. A 3-polar fuzzy graph G(V,?,?), is a mathematical representation of uncertain networks, featuring vertices and edges that each possesses three distinct, ordered membership values, typically within the range [0, 1]. These values model complex, multifaceted data (for example: positive, neutral and negative aspects) in a simple structure. In this paper Laplacian, Hamiltonian, Zagreb, Randic, standard, incidence, and signless Laplacian energies of a 3-polar fuzzy graph are investigated.
Keywords: Adjacency matrix, characteristic equation, degree matrix, eigenvalues, energy, incidence matrix, 3-polar fuzzy graph, membership degree
How to Cite?: N K Raut, "On Energies of a 3- Polar Fuzzy Graph", Volume 15 Issue 7, July 2026, International Journal of Science and Research (IJSR), Pages: 200-205, https://www.ijsr.net/getabstract.php?paperid=MR26702163347, DOI: https://dx.doi.org/10.21275/MR26702163347