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Regular version of the site
Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Evgeny Krasilnikov
Extending the Sl2-weight System to Graphs
Mathematics
(Bachelor’s programme)
9
2017
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.

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