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GG
2004
Springer
15 years 2 months ago
Composition of Path Transductions
We propose to study two infinite graph transformations that we respectively call bounded and unbounded path transduction. These graph transformations are based on path substitutio...
Tanguy Urvoy
FOCS
2006
IEEE
15 years 3 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
CORR
2010
Springer
143views Education» more  CORR 2010»
14 years 9 months ago
The Complexity of Proving the Discrete Jordan Curve Theorem
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
Phuong Nguyen, Stephen Cook
JACM
2007
121views more  JACM 2007»
14 years 9 months ago
(Almost) Tight bounds and existence theorems for single-commodity confluent flows
A flow of a commodity is said to be confluent if at any node all the flow of the commodity leaves along a single edge. In this paper we study single-commodity confluent flow pro...
Jiangzhuo Chen, Robert D. Kleinberg, Lászl&...
ACCV
2010
Springer
14 years 4 months ago
Four Color Theorem for Fast Early Vision
Recent work on early vision such as image segmentation, image restoration, stereo matching, and optical flow models these problems using Markov Random Fields. Although this formula...
Radu Timofte, Luc J. Van Gool