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» On encodings of spanning trees
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TCAD
2008
195views more  TCAD 2008»
13 years 7 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»
13 years 7 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»
14 years 1 months 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»
13 years 2 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»
13 years 2 months 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