On the linear algebra of local complementation

Mathematics – Combinatorics

Scientific paper

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22 pages, 5 figures. v2 includes two new results and several minor corrections. v3 includes minor corrections and updated refe

Scientific paper

We explore the connections between the linear algebra of symmetric matrices
over GF(2) and the circuit theory of 4-regular graphs. In particular, we show
that the equivalence relation on simple graphs generated by local
complementation can also be generated by an operation defined using inverse
matrices.

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