Geometric Constraints CIS 6930 Fall 2006 Lecture : 3

نویسندگان

  • Meera Sitharam
  • Heping Gao
چکیده

We will present that the forbidden minors for 3-realizable graph are K5 and the octahedron. You can directly go to Theorem 13 and if necessary refer to the definitions, lemmas and theorems before it. Definition 1 A graph G is d-realizable if, given any realization p1, · · · , pn of the graph in some finite dimensional Euclidean space, there exists a realization q1, · · · , qn in E with the same edge lengths: |pi − pj| = |qi − qj | for all {i, j} ∈ E(G).

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تاریخ انتشار 2006