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- W2963452381 abstract "We provide a constructive characterisation of circuits in the simple (2,2)-sparsity matroid. A circuit is a simple graph G=(V,E) with |E|=2|V|−1 where the number of edges induced by any X⊊V is at most 2|X|−2. Insisting on simplicity results in the Henneberg 2 operation being adequate only when the graph is sufficiently connected. Thus we introduce 3 different join operations to complete the characterisation. Extensions are discussed to when the sparsity matroid is connected and this is applied to the theory of frameworks on surfaces, to provide a conjectured characterisation of when frameworks on an infinite circular cylinder are generically globally rigid." @default.
- W2963452381 created "2019-07-30" @default.
- W2963452381 creator A5020218262 @default.
- W2963452381 date "2014-11-01" @default.
- W2963452381 modified "2023-09-29" @default.
- W2963452381 title "A constructive characterisation of circuits in the simple (2,2)-sparsity matroid" @default.
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- W2963452381 doi "https://doi.org/10.1016/j.ejc.2014.05.009" @default.
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