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» The convexity spectra of graphs
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FOCS
2006
IEEE
14 years 1 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
PRL
2007
146views more  PRL 2007»
13 years 7 months ago
Neighbor number, valley seeking and clustering
This paper proposes a novel nonparametric clustering algorithm capable of identifying shape-free clusters. This algorithm is based on a nonparametric estimation of the normalized ...
Chaolin Zhang, Xuegong Zhang, Michael Q. Zhang, Ya...
SIAMDM
2010
101views more  SIAMDM 2010»
13 years 2 months ago
Rationality and Strongly Polynomial Solvability of Eisenberg--Gale Markets with Two Agents
Inspired by the convex program of Eisenberg and Gale which captures Fisher markets with linear utilities, Jain and Vazirani [STOC, 2007] introduced the class of EisenbergGale (EG)...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....
ICNC
2005
Springer
14 years 1 months ago
Drawing Undirected Graphs with Genetic Algorithms
This paper proposes an improved genetic algorithm for producing aesthetically pleasing drawings of general undirected graphs. Previous undirected graph drawing algorithms draw larg...
Qing-Guo Zhang, Huayong Liu, Wei Zhang, Ya-Jun Guo
CORR
2008
Springer
141views Education» more  CORR 2008»
13 years 7 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...