On a complexity of a spatial graph (結び目とソフトマター物理学--高分子のトポロジー、そして物理学、数学および生物学における関連する話題)
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概要
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In a research of proteins, molecules, or polymers, it is important to understand geometrically and topologicallyspatial graphs possibly with degree one vertices including knotted arcs. In this article, we introduce a concept of a complexity and related topological invariants for a spatial graph without degree one vertices, called the γ-warping and warping degrees as well as the γ-unknotting and unknotting numbers generalizing the usual unknotting number of a knot. These invariants define geometric invariants for a spatial graph with degree one vertices, meaningful even for a knotted arc.
- 物性研究刊行会の論文
- 2009-04-20