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SIAMDM
2010
123views more  SIAMDM 2010»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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...