43 citations
- American Astronomical SocietyUS2 papers
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Showing 1998Show all
3 papers · 1 filter
math.CO1998
Polyunsaturated Posets and Graphs and the Greene-Kleitman Theorem
Glenn G. Chappell
A partition of a finite poset into chains places a natural upper bound on the size of a union of k antichains. A chain partition is k-saturated if this bound is achieved. Greene an…
math.CO1998
A Matroid Generalization of a Result on Row-Latin Rectangles
Glenn G. Chappell
Let A be an m \times n matrix in which the entries of each row are all distinct. Drisko showed that, if m \ge 2n-1, then A has a transversal: a set of n distinct entries with no tw…
math.CO1998★ 9 cited
A Lower Bound for Partial List Colorings
Glenn G. Chappell
Let G be an n-vertex graph with list-chromatic number . Suppose each vertex of G is assigned a list of t colors. Albertson, Grossman, and Haas conjecture that at least $t n…