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15  Articles
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Low-rank matrix factorizations such as Principal Component Analysis (PCA), Singular Value Decomposition (SVD) and Non-negative Matrix Factorization (NMF) are a large class of methods for pursuing the low-rank approximation of a given data matrix. The conv... see more

Motivated by a 40-year-old problem due to Peter Cameron on extending partial parallelisms, we provide necessary and sufficient conditions under which one can extend an rr-factorization of a complete 33-uniform hypergraph on mm vertices, K3mK_m^3, to an ss... see more

For well-generated complex reflection groups, Chapuy and Stump gave a simple product for a generating function counting reflection factorizations of a Coxeter element by their length. This is refined here to record the numberof reflections used from each ... see more

A graph G is a (d, d + s)-graph if the degree of each vertex of G lies in the interval [d, d + s]. A (d, d + 1)-graph is said to be semiregular. An (r, r + 1) -factorization of a graph is a decomposition of the graph into edgedisjoint (r, r + 1)-factors.W... see more



We show in this study that the living organism, after its birth, had two routes of time evolution, which is represented at also multicellulars, due to our internal backword time process (introduced originally by Gunji), namely, direct disintegration or a ... see more

In 2008, Lovejoy and Osburn defined the generating function for .In 2009, Byungchan Kim defined the generating function for .This paper shows how to discuss the generating functions for  and . Byungchan Kim also defined  with increasing relation... see more

Hardware heterogeneity of the HPC platforms is no longer considered unusual but instead have become the most viable way forward towards Exascale.  In fact, the multitude of the heterogeneous resources available to modern computers are designed for di... see more

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