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SPAA
1993
ACM
13 years 9 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout
WG
2004
Springer
13 years 10 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
IPPS
1998
IEEE
13 years 9 months ago
Ultrafast Randomized Parallel Construction and Approximation Algorithms for Spanning Forests in Dense Graphs
We present a rst randomized Ologk n time and On+m work CRCWPRAM algorithm for nding a spanning forest of an undirected dense graph with n vertices. Furthermore we construct a rando...
Anders Dessmark, Carsten Dorgerloh, Andrzej Lingas...
COLOGNETWENTE
2009
13 years 6 months ago
Colored Trees in Edge-Colored Graphs
We consider maximum properly edge-colored trees in edge-colored graphs Gc . We also consider the problem where, given a vertex r, determine whether the graph has a spanning tree r...
A. Abouelaoualim, V. Borozan, Yannis Manoussakis, ...
ASIAMS
2007
IEEE
13 years 11 months ago
Broadcasting in (n, k)-Arrangement Graph Based on an Optimal Spanning Tree
The tree structure has received much interest as a versatile architecture for a large class of parallel processing applications. Spanning trees in particular are essential tools f...
Jingli Li, Yonghong Xiang, Manli Chen, Yongheng Zh...