Entanglement of Embedded Graphs(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)

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概要

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• We discuss the identification of untangled graph embeddings for finite planar and non-planar graphs as well as infinite crystallographic nets. Two parallel approaches are discussed: explicit 3-space embeddings and reticulations of 2-manifolds. 2D and 3D energies are proposed that allow ranking of (un)tangled embedding graphs.

• 2011-12-16

著者

• Hyde Stephen

  Applied Mathematics Dept. Research School Of Physics Australian National University

• CASTLE Toen

  Applied Mathematics Dept., Research School of Physics, Australian National University

• EVANS Myfanwy

  Applied Mathematics Dept., Research School of Physics, Australian National University

• Castle Toen

  Applied Mathematics Dept. Research School Of Physics Australian National University

• Evans Myfanwy

  Applied Mathematics Dept. Research School Of Physics Australian National University

• HYDE Stephen

  Applied Mathematics Dept., Research School of Physics, Australian National University

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• Entanglement of Embedded Graphs(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)

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