… 4 Sparse coarsening part it ions In this section we discuss algorithms for the construction of
sparse coarsening partitions, … Our first result concerns a maximum vertex-degree partition …

… Interestingly, in addition we show that strong sparse partitions imply strong sparse … sparse
cover schemes, while there are no constants ,, such that they admit ( ,)-strong sparse partitions. …

… partitioning of general sparse matrices for parallel sparse matrix-vector multiply operation.
We present three hypergraph-partitioning-… fine-grain partitions. The other two produce coarser …

… of generating robust orderings of sparse matrices arising in LP … We have developed a
graph-partitioning and sparsematrix-… for graph partitioning and for ordering sparse matrices …

… We show that the problem Sparse Graph Partition is NP-complete by giving a reduction
from Graph- K -colorability. The decision problem Graph- K -colorability is known to be NP-…

… fill-ins in the partitioned inverses of L … partitions is related to the path length of sparse vector
methods. Allowing some fill-in in the partitioned inverses of L and U results in fewer partitions…

… for partitioning unstructured graphs and for computing fill-reducing orderings of sparse
matrices. … The algorithms in PARMEliS are based on the multilevel partitioning and fill-reducing …

… for solving the partitioning problem. We associate with the given sparse, symmetric matrix
(… than one, for all the adjacency graphs of sparse matrices that we have computed partitions. …

… using our parallel sparse Cholesky factorization algorithm [17], but serial graph partitioning
(… formulation of the multilevel graph partitioning and sparse matrix ordering algorithm. A key …

… to cluster sparse unweighted graphs – ie partition the nodes into … Our insight is that in the
sparse case, these must be … , classical and widely studied “planted partition” model (also called …