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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...
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
89views more  SIAMDM 2010»
14 years 7 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang
SIAMDM
2010
114views more  SIAMDM 2010»
14 years 10 months ago
Rank-Based Attachment Leads to Power Law Graphs
Abstract. We investigate the degree distribution resulting from graph generation models based on rank-based attachment. In rank-based attachment, all vertices are ranked according ...
Jeannette Janssen, Pawel Pralat