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APPROX
2010
Springer
168views Algorithms» more  APPROX 2010»
15 years 6 months ago
Lower Bounds for Local Monotonicity Reconstruction from Transitive-Closure Spanners
Abstract. Given a directed graph G = (V, E) and an integer k 1, a ktransitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V, EH ) that has (1) the same transitive...
Arnab Bhattacharyya, Elena Grigorescu, Madhav Jha,...
CCCG
2003
15 years 6 months ago
Degree Bounds for Constrained Pseudo-Triangulations
We introduce the concept of a constrained pointed pseudo-triangulation TG of a point set S with respect to a pointed planar straight line graph G = (S, E). For the case that G for...
Oswin Aichholzer, Michael Hoffmann, Bettina Speckm...
DM
2007
100views more  DM 2007»
15 years 4 months ago
Improved bounds on acyclic edge colouring
We prove that the acyclic chromatic index a (G) 6 for all graphs with girth at least 9. We extend the same method to obtain a bound of 4.52 with the girth requirement g 220. We al...
Rahul Muthu, N. Narayanan, C. R. Subramanian
184
Voted
APAL
2011
14 years 12 months ago
A sorting network in bounded arithmetic
We formalize the construction of Paterson’s variant of the Ajtai–Koml´os–Szemer´edi sorting network of logarithmic depth in the bounded arithmetical theory VNC1 ∗ (an ex...
Emil Jerábek
ISPD
2012
ACM
283views Hardware» more  ISPD 2012»
14 years 15 days ago
Low-power gated bus synthesis for 3d ic via rectilinear shortest-path steiner graph
In this paper, we propose a new approach for gated bus synthesis [16] with minimum wire capacitance per transaction in three-dimensional (3D) ICs. The 3D IC technology connects di...
Chung-Kuan Cheng, Peng Du, Andrew B. Kahng, Shih-H...