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JUCS
2007

Graded Sparse Graphs and Matroids

8 years 4 months ago
Graded Sparse Graphs and Matroids
: Sparse graphs and their associated matroids play an important role in rigidity theory, where they capture the combinatorics of some families of generic minimally rigid structures. We define a new family called graded sparse graphs, arising from generically pinned bar-and-joint frameworks, and prove that they also form matroids. We also address several algorithmic problems on graded sparse graphs: Decision, Spanning, Extraction, Components, Optimization, and Extension. We sketch variations on pebble game algorithms to solve them. Key Words: computational geometry, hypergraph, rigidity theory, matroid, pebble game Category: F.2.2, G.2.2
Audrey Lee, Ileana Streinu, Louis Theran
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2007
Where JUCS
Authors Audrey Lee, Ileana Streinu, Louis Theran
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