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math.CO2019
Extendable shellability for -dimensional complexes on vertices
Jared Culbertson, Anton Dochtermann, Dan P. Guralnik +1
We prove that for all a shellable -dimensional simplicial complex with at most vertices is extendably shellable. The proof involves considering the structure of…
math.CO2017
Edge Erasures and Chordal Graphs
Jared Culbertson, Dan P. Guralnik, Peter F. Stiller
We prove several results about chordal graphs and weighted chordal graphs by focusing on exposed edges. These are edges that are properly contained in a single maximal complete sub…