Chromatic Schultz and Gutman Polynomials of Jahangir Graphs <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mi>J</mi> </mrow> <mrow> <mn>2</mn> <mo>,</mo> <mi>m</mi> </mrow> </msub> </math> and <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <msub> <mrow> <mi>J</mi> </mrow> <mrow> <mn>3</mn> <mo>,</mo> <mi>m</mi> </mrow> </msub> </math>

Topological polynomial and indices based on the distance between vertices of a connected graph are widely used in chemistry to establish relation structure properties molecules. In similar way, chromatic versions certain topological related have also been discussed recent literature. this paper, we present Schultz Gutman polynomials expanded form Hosoya polynomials, then derive these for special cases Jahangir graphs.