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math.CO2013★ 16 cited
On Choosability with Separation of Planar Graphs with Forbidden Cycles
Ilkyoo Choi, Bernard Lidický, Derrick Stolee
We study choosability with separation which is a constrained version of list coloring of graphs. A (k,d)-list assignment L on a graph G is a function that assigns to each vertex v…
math.CO2013★ 6 cited
A Branch-and-Cut Strategy for the Manickam-Miklos-Singhi Conjecture
Stephen G. Hartke, Derrick Stolee
The Manickam-Miklos-Singhi Conjecture states that when n is at least 4k, every multiset of n real numbers with nonnegative total sum has at least (n-1 choose k-1) k-subsets with no…