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MetaNMP: Leveraging Cartesian-Like Product to Accelerate HGNNs with Near-Memory Processing
International Symposium on Computer Architecture, 2023Heterogeneous graph neural networks (HGNNs) based on metapath exhibit powerful capturing of rich structural and semantic information in the heterogeneous graph. HGNNs are highly memory-bound and thus can be accelerated by near-memory processing. However,
Dan Chen +6 more
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CARTESIAN PRODUCT OF INTUITIONISTIC FUZZY PMS-IDEALS OF PMS-ALGEBRAS
Advances in Mathematics: Scientific Journal, 2020In this paper, the notion of intuitionistic fuzzy PMS-ideal of PMSalgebras is introduced. Also, the notions of an intuitionistic fuzzy translation and intuitionistic fuzzy multiplications of PMS-algebras are introduced.
S. Selvam
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On the Directions Determined by a Cartesian Product in an Affine Galois Plane
Combinatorica, 2020We prove that the number of directions contained in a set of the form A × B ⊂ AG(2,p), where p is prime, is at least |A||B| − min{|A|, |B|} + 2. Here A and B are subsets of GF(p) each with at least two elements and |A||B|
D. Benedetto, J. Solymosi, E. White
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The partition dimension of strong product graphs and Cartesian product graphs
Discrete Mathematics, 2014I. G. Yero +3 more
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Factoring cartesian‐product graphs
Journal of Graph Theory, 1994AbstractIn a fundamental paper, G. Sabidussi [“Graph Multiplication,” Mathematische Zeitschrift, Vol. 72 (1960), pp. 446–457] used a tower of equivalence relations on the edge set E(G) of a connected graph G to decompose G into a Cartesian product of prime graphs. Later, a method by R.L. Graham and P.M.
Imrich, Wilfried, Žerovnik, Janez
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Radicals commuting with cartesian products
Archiv der Mathematik, 1998Given an Abelian group \(G\), the group radical is defined by \(R_G(X)=\bigcap\{\text{Ker }\phi\mid\phi\colon X\to G\}\), for Abelian groups \(X\). This radical does not always commute with infinite direct products (for instance, when \(G=\mathbb{Q}\), it turns into the torsion radical).
Corner, A. L. S., Göbel, Rüdiger
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Multishifts on Directed Cartesian Product of Rooted Directed Trees
, 2016We systematically develop the multivariable counterpart of the theory of weighted shifts on rooted directed trees. Capitalizing on the theory of product of directed graphs, we introduce and study the notion of multishifts on directed Cartesian product of
S. Chavan, D. Pradhan, Shailesh Trivedi
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Using Cartesian Product for Animation
The Journal of Visualization and Computer Animation, 2000AbstractIn the field of geometric modelling for animation, 4D modelling (time being the fourth dimension) seems to be a natural extension of 3D modelling. But time dimension is not easy to apprehend and 4D objects are difficult to interpret and to control in general.
Skapin, X., Lienhardt, P.
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1970
When we say in analytic geometry that a point has co-ordinates (x, y), the order in which x and y occur, in the symbol (x, y), is important: (1, 2) ≠ (2, 1). For this reason we call (x, y) an ordered pair. Moreover, x and y come from sets; in this case x, y ∈ R. This idea can be generalizedf as follows. Let 𝒰 be a universe.
H. B. Griffiths, P. J. Hilton
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When we say in analytic geometry that a point has co-ordinates (x, y), the order in which x and y occur, in the symbol (x, y), is important: (1, 2) ≠ (2, 1). For this reason we call (x, y) an ordered pair. Moreover, x and y come from sets; in this case x, y ∈ R. This idea can be generalizedf as follows. Let 𝒰 be a universe.
H. B. Griffiths, P. J. Hilton
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