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Abstract Graphs and Set Systems

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Simplicial Complexes of Graphs

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1928))

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We introduce basic concepts and notation related to graphs, posets, abstract simplicial complexes, and matroids. In Section 2.1, we discuss graphs, digraphs, and hypergraphs. Section 2.2 is devoted to posets and lattices. We proceed with abstract simplicial complexes in Section 2.3 and conclude the chapter with some matroid theory in Section 2.4 and a few words about integer partitions in Section 2.5.

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Abstract Graphs and Set Systems. In: Simplicial Complexes of Graphs. Lecture Notes in Mathematics, vol 1928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75859-4_2

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