Let M be a matroid on a finite set E with rank function p .The independence complex F (M)is well-known to have attractive topological properties.More precisely, F (M)is known to be shellable — in fact even vertex-decomposable — of dimension p (E) — 1;see Provan and Billera [108,107] and Bjöorner [8]. We give a summary in Section 13.1.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Forests and Matroids. In: Simplicial Complexes of Graphs. Lecture Notes in Mathematics, vol 1928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75859-4_13
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DOI: https://doi.org/10.1007/978-3-540-75859-4_13
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