arXiv Open Access 2024

The foundation of generalized parallel connections, 2-sums, and segment-cosegment exchanges of matroids

Matthew Baker Oliver Lorscheid Zach Walsh Tianyi Zhang

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Abstrak

We show that, under suitable hypotheses, the foundation of a generalized parallel connection of matroids is the relative tensor product of the foundations. Using this result, we show that the foundation of a 2-sum of matroids is the absolute tensor product of the foundations, and that the foundation of a matroid is invariant under segment-cosegment exchange.

Topik & Kata Kunci

math.CO

Penulis (4)

Matthew Baker

Oliver Lorscheid

Zach Walsh

Tianyi Zhang

Format Sitasi

APA MLA BibTeX

Baker, M., Lorscheid, O., Walsh, Z., Zhang, T. (2024). The foundation of generalized parallel connections, 2-sums, and segment-cosegment exchanges of matroids. https://arxiv.org/abs/2404.10656

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓