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Dependence Classes in Bricks

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Perfect Matchings

Part of the book series: Algorithms and Computation in Mathematics ((AACIM,volume 31))

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Abstract

We continue our study of dependence classes in matching covered graphs. But here our attention is mainly devoted to bricks.

We have seen that, in general, dependence classes in matching covered graphs can be arbitrarily large (see Figure 8.10), although no removable class can havemore than two edges (Corollary 8.18).

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Lucchesi, C.L., Murty, U.S.R. (2024). Dependence Classes in Bricks. In: Perfect Matchings. Algorithms and Computation in Mathematics, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-031-47504-7_9

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