Littlewood-Richardson coefficients and Kostka number

Littlewood-Richardson (LR) coefficients and Kostka Numbers appear in representation theory and combinatorics related to GLn . It is known that Kostka numbers can be represented as special Littlewood-Rischardson coefficient. In this paper, we show how one can represent LR coefficient in terms of Kostka numbers, and use the formulation to give a polynomial time algorithm for the same, hence showing that they belong to the same class of decision problems.