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SIAMDM
2011
12 years 12 months ago
An Obstacle to a Decomposition Theorem for Near-Regular Matroids
Seymour’s Decomposition Theorem for regular matroids states that any matroid representable over both GF(2) and GF(3) can be obtained from matroids that are graphic, cographic, o...
Dillon Mayhew, Geoff Whittle, Stefan H. M. van Zwa...
SIAMDM
2011
12 years 12 months ago
On Maximal S-Free Convex Sets
Let S ⊆ Zn satisfy the property that conv(S) ∩ Zn = S. Then a convex set K is called an S-free convex set if int(K) ∩ S = ∅. A maximal S-free convex set is an S-free convex...
Diego A. Morán R., Santanu S. Dey
SIAMDM
2011
12 years 12 months ago
Origins of Nonlinearity in Davenport-Schinzel Sequences
Abstract. A generalized Davenport–Schinzel sequence is one over a finite alphabet that excludes subsequences isomorphic to a fixed forbidden subsequence. The fundamental proble...
Seth Pettie
SIAMDM
2011
12 years 12 months ago
Stable Roommates Matchings, Mirror Posets, Median Graphs, and the Local/Global Median Phenomenon in Stable Matchings
For stable marriage (SM) and solvable stable roommates (SR) instances, it is known that there are stable matchings that assign each participant to his or her (lower/upper) median ...
Christine T. Cheng, Anhua Lin