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Making Frameworks Rigid
Posted:
Sep 27, 1994 11:23 AM
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I want to pose a question to subscribers. There is a lovely theorem
in graph theory about the number and positions of braces required
to make rigid a planar framework of squares. Construct a bipartitie graph
whose partite sets are rows and the columns of the framework. Each
brace becomes an edge. If the resulting graph is connected, then
the framework is rigid. My question is about 3 and higher dimension
frameworks. Is the space diagonal brace of a cubical framework
enough to make it rigid? For a reference, see page 46 of the MAA
paperback Graphs and Their Uses by Ore and Wilson. Thanks.
Harold Reiter
Harold B. Reiter, Dept. of Math., UNCCharlotte, 28223
internet: fma00hbr@unccvm.uncc.edu; phone 704-547-4561
fax 704-547-3218;
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