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SIAMDM
2010
123views more  SIAMDM 2010»
13 years 5 months ago
Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...
Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Fe...
SIAMDM
2010
166views more  SIAMDM 2010»
13 years 5 months ago
Direct Product Factorization of Bipartite Graphs with Bipartition-reversing Involutions
Given a connected bipartite graph G, we describe a procedure which enumerates and computes all graphs H (if any) for which there is a direct product factorization G ∼= H × K2. W...
Ghidewon Abay-Asmerom, Richard Hammack, Craig E. L...
SIAMDM
2010
84views more  SIAMDM 2010»
13 years 5 months ago
On Computing the Frequencies of Induced Subhypergraphs
Let F be an r-uniform hypergraph with f vertices, where f > r ≥ 3. In [12], R. Yuster posed the problem of whether there exists an algorithm which, for a given r-uniform hyper...
Brendan Nagle
SIAMDM
2010
101views more  SIAMDM 2010»
13 years 5 months ago
Combinatorics and Genus of Tropical Intersections and Ehrhart Theory
Let g1, . . . , gk be tropical polynomials in n variables with Newton polytopes P1, . . . , Pk. We study combinatorial questions on the intersection of the tropical hypersurfaces d...
Reinhard Steffens, Thorsten Theobald
SIAMDM
2010
117views more  SIAMDM 2010»
13 years 5 months ago
Design is as Easy as Optimization
We consider the class of max-min and min-max optimization problems subject to a global budget (or weight) constraint and we undertake a systematic algorithmic and complexitytheore...
Deeparnab Chakrabarty, Aranyak Mehta, Vijay V. Vaz...