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» On encodings of spanning trees
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TCAD
2008
195views more  TCAD 2008»
15 years 6 months ago
Multilayer Obstacle-Avoiding Rectilinear Steiner Tree Construction Based on Spanning Graphs
Given a set of pins and a set of obstacles on routing layers, a multilayer obstacle-avoiding rectilinear Steiner minimal tree (ML-OARSMT) connects these pins by rectilinear edges w...
Chung-Wei Lin, Shih-Lun Huang, Kai-Chi Hsu, Meng-X...
ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
15 years 6 months ago
On Sorting, Heaps, and Minimum Spanning Trees
Let A be a set of size m. Obtaining the first k m elements of A in ascending order can be done in optimal O(m + k log k) time. We present Incremental Quicksort (IQS), an algorith...
Gonzalo Navarro, Rodrigo Paredes
WDAG
2007
Springer
162views Algorithms» more  WDAG 2007»
16 years 6 days ago
A Distributed Algorithm for Finding All Best Swap Edges of a Minimum Diameter Spanning Tree
Communication in networks suffers if a link fails. When the links are edges of a tree that has been chosen from an underlying graph of all possible links, a broken link even disco...
Beat Gfeller, Nicola Santoro, Peter Widmayer
RSA
2011
126views more  RSA 2011»
15 years 1 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
SIAMDM
2010
110views more  SIAMDM 2010»
15 years 26 days ago
Embedding Spanning Trees in Random Graphs
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
Michael Krivelevich