Coding knots by $T$-graphs

In this paper, knots are considered as smooth embeddings of a circle into $\mathbb R^3$ defined by their flat diagrams. We propose a new method of coding knots by $T$-graphs describing the torsion structure on a flat diagram. For this method of coding, we introduce conceptions of a cycle and a block and describe transformations of $T$-graphs under the first and the third Reidemeister moves applied to the flat diagram of a knot.