This paper examines the scalable parallel implementation of QR factorization of a general matrix, targeting SMP and multi-core architectures. Two implementations of algorithms-by-...
We present a randomized EREW PRAM algorithm to nd a minimum spanning forest in a weighted undirected graph. On an n-vertex graph the algorithm runs in o((logn)1+ ) expected time f...
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
Recent works have classified de Bruijn graph (dBG) based broadcasting algorithms into local broadcasting and arc-disjoint spanning trees based broadcasting. However, those algorit...