Year of Graduation
Extending the Sl2-weight System to Graphs
There are 2 graphs with 6 vertices and 66 graphs with 7 vertices that are not intersection graphs. In our previous study, we have proved that the extension of the weight system $sl_2$ to the graphs with 6 and 7 vertices exist. The purpose of this paper is to construct algorithms for computing a similar extension to the graphs with 8 vertices, by using computer work. The results obtained may be used to formulate a conjecture that there exists an extension of $sl_2$ weight system to a 4-invariant of graphs with $n$ vertices.