Danielle O’Donnol

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math.GT2014

Intrinsic 3-linkedness is Not Preserved by $Y \nabla$ moves

Danielle O'Donnol

This paper introduces a number of new intrinsically 3-linked graphs through five new constructions. We then prove that intrinsic 3-linkedness is not preserved by $Y \nabla$ m…

math.GT2010

Knotting and linking in the Petersen family

Danielle O'Donnol

This paper focuses on the graphs in the Petersen family, the set of minor minimal intrinsically linked graphs. We prove there is a relationship between algebraic linking of an embe…

Intrinsic 3-linkedness is Not Preserved by Y∇ moves

Knotting and linking in the Petersen family

Intrinsic 3-linkedness is Not Preserved by $Y \nabla$ moves