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SIAMDM
2011
13 years 2 months ago
Counting Independent Sets Using the Bethe Approximation
Venkat Chandrasekaran, Misha Chertkov, David Gamar...
SIAMDM
2011
13 years 6 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
13 years 6 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
13 years 6 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
13 years 6 months ago
Root Polytopes and Growth Series of Root Lattices
The convex hull of the roots of a classical root lattice is called a root polytope. We determine explicit unimodular triangulations of the boundaries of the root polytopes associat...
Federico Ardila, Matthias Beck, Serkan Hosten, Jul...
SIAMDM
2011
13 years 6 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
SIAMDM
2011
13 years 6 months ago
When Does a Curve Bound a Distorted Disk?
Consider a closed curve in the plane that does not intersect itself; by the Jordan-Schoenflies Theorem, it bounds a distorted disk. Now consider a closed curve that intersects its...
Jack E. Graver, Gerald T. Cargo