Abstract
We consider a family of simple graphs known as PS ear-decomposable graphs. These graphs are one-dimensional specializations of the more general class of PS ear-decomposable simplicial complexes, which were by Chari as a means of understanding matroid simplicial complexes. We outline a shifting algorithm for PS ear-decomposable graphs that allows us to explicitly show that the -vector of a PS ear-decomposable graph is a pure -sequence.
Citation
Nima Imani. Lee Johnson. Mckenzie Keeling-Garcia. Steven Klee. Casey Pinckney. "The $h$-vectors of PS ear-decomposable graphs." Involve 7 (6) 743 - 750, 2014. https://doi.org/10.2140/involve.2014.7.743
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