منابع مشابه
A Note on Tensor Product of Graphs
Let $G$ and $H$ be graphs. The tensor product $Gotimes H$ of $G$ and $H$ has vertex set $V(Gotimes H)=V(G)times V(H)$ and edge set $E(Gotimes H)={(a,b)(c,d)| acin E(G):: and:: bdin E(H)}$. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of $K_n otimes G$.
متن کاملA Note on Tensor Product of Graphs
Let G and H be graphs. The tensor product G⊗H of G and H has vertex set V (G ⊗ H) = V (G) × V (H) and edge set E(G ⊗ H) = {(a, b)(c, d)|ac ∈ E(G) and bd ∈ E(H)}. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of Kn ⊗G.
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We consider the problem of decomposing tensor powers of the fundamental level 1 highest weight representation V of the affine Kac-Moody algebra g(E9). We describe an elementary algorithm for determining the decomposition of the submodule of V ⊗n whose irreducible direct summands have highest weights which are maximal with respect to the null-root. This decomposition is based on Littelmann’s pat...
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This paper deals with the approximation of d-dimensional tensors, as discrete representations of arbitrary functions f (x 1 ,. .. , x d) on [0, 1] d , in the so-called Tensor Chain format. The main goal of this paper is to show that the construction of a Tensor Chain approximation is possible using Skeleton/Cross Approximation type methods. The complete algorithm is described, computational iss...
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ژورنال
عنوان ژورنال: Vietnam Journal of Mathematics
سال: 2019
ISSN: 2305-221X,2305-2228
DOI: 10.1007/s10013-019-00372-4