Article ID Journal Published Year Pages File Type
4599659 Linear Algebra and its Applications 2014 12 Pages PDF
Abstract

In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is independent of the ordering of its vertices, and the Laplacian tensor and the signless Laplacian tensor have the same rank for odd-bipartite even uniform hypergraphs.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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