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Generic Graph Algorithms for Sparse Matrix Ordering (1999)  (Make Corrections)  (3 citations)
Lie-Quan Lee, Jeremy G. Siek, Andrew Lumsdaine
ISCOPE



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Abstract: Fill-reducing sparse matrix orderings have been a topic of active research for many years. Although most such algorithms are developed and analyzed within a graph-theoretical framework, for reasons of performance, the corresponding implementations are typically realized with programming languages devoid of language features necessary to explicitly represent graph abstractions. Recently, generic programming has emerged as a programming paradigm capable of providing high levels of... (Update)

Context of citations to this paper:   More

.... ed in this paper because of its di erent focus) which implements the minimum degree algorithm is the Generic Graph Component Library [63, 62]. This library is based on generic and object oriented programming, and its emphasis is on making algorithms for graphs independent...

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BibTeX entry:   (Update)

L.-Q. Lee, J. G. Siek, and A. Lumsdaine. Generic graph algorithms for sparse matrix ordering. In S. Matsouka, R. R. Oldehoeft, and M. Tholburn, editors, Computing in Object-Oriented Parallel Environment, Third International Symposium ISCOPE 99,volume 1732 of Lecture Notes in Computer Science. Springer-Verlag, 1999. http://citeseer.ist.psu.edu/article/lee99generic.html   More

@inproceedings{ lee99generic,
    author = "Lie-Quan Lee and Jeremy G. Siek and Andrew Lumsdaine",
    title = "Generic Graph Algorithms for Sparse Matrix Ordering",
    booktitle = "{ISCOPE}",
    pages = "120-129",
    year = "1999",
    url = "citeseer.ist.psu.edu/article/lee99generic.html" }
Citations (may not include all citations):
3972   Introduction to Algorithms (context) - Cormen, Leiserson et al. - 1990  ACM
554   Design Patterns: Elements of Reusable Object-Oriented Softwa.. (context) - Gamma, Helm et al. - 1994
108   The standard template library - Lee, Stepanov - 1995  ACM
88   User's guide for the harwell-boeing sparse matrix collection (context) - Grimes, Lewis et al. - 1992
80   The evolution of the minimum degree ordering algorithm (context) - George, Liu - 1989  ACM
74   Modification of the minimum-degree algorithm by multiple eli.. (context) - Liu - 1985  ACM   DBLP
31   Generic Programming and the STL (context) - Austern - 1998  ACM
31   The matrix template library: A generic programming approach .. - Siek, Lumsdaine - 1998  DBLP
19   Implementing layered designs with mixin layers - Samaragdakis, Batory - 1998  ACM   DBLP
12   The generic graph component library - Lee, Siek et al. - 1999  ACM   DBLP
11   Performance of greedy ordering heuristics for sparse Cholesk.. - amd, Raghavan  ACM
5   An object-oriented collection of minimum degree algorithms - Kumfert, Pothen - 1998  ACM   DBLP
4   The use of planar graph in Gaussian elimination (context) - Parter - 1961
2   An approximation minimum degree ordering algorithm (context) - Amestoy, Davis et al. - 1996
2   A sparse matrix package using the standard template library (context) - Zhong - 1996
2   Computing the minimum fill-in is NP-complete (context) - Yannanakis - 1981

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