Tensor product of graphs
On Tensor Product of Graphs, Girth and Triangles
... Abstract. The purpose of this paper is to obtain a necessary and suffi- cient condition for the tensor product of two or more graphs to be con- nected, bipartite or eulerian. Also, we present a ...
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ANNIHILATOR DOMINATION NUMBER OF TENSOR PRODUCT OF PATH GRAPHS
... normal product, Cartesian product, tensor product, Corona product, ...“Tensor Product”.The tensor product of graphs G and H signified by G × H is a ...
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Wiener Polarity Index of Tensor Product of Graphs
... connected graphs, then the tensor product of them is denoted by G ⊗ H whose vertex set is V (G ⊗ H ) = V (G) × V (H ) and edge set is E (G ⊗ H) = {(a, b) (c, d) | ac ∈ E (G) , bd ∈ E (H ...
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Computing Some Topological Indices of Tensor Product of Graphs
... | E G ⊗ H = E G E H [8]. In [9], the vertex PI index was proposed and the Wiener and vertex PI indices of this graph operation were computed in [10]. In this paper we study on some topological indices of tensor ...
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Bounds for General Connectivity Indices of Tensor Product of Connected Graphs
... Abstract: Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In this paper, bounds for the Randi´c, general Randi´c, sum-connectivity, the general ...
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Edge Regular Property of Tensor Product and Normal Product of Two Fuzzy Graphs
... fuzzy graphs using tensor product and normal ...the tensor product and normal product of two edge regular fuzzy graphs need not be edge regular and that if these ...
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STRENGTH OF TENSOR PRODUCT OF CERTAIN STRONG FUZZY GRAPHS
... having star graph as the underlying crisp graph on n vertices and keeping G 1 as it is then their tensor product G is a null fuzzy graph, if n = 1. It is a disjoint union of two fuzzy paths if n = 2 and if ...
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On Tensor Product of Standard Graphs II
... International Journal for Research in Applied Science & Engineering Technology IJRASET ISSN: 2321-9653; IC Value: 45.98; SJ Impact Factor:6.887 Volume 5 Issue X, October 2017- Available [r] ...
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On Some Topological Indices of Tensor Product Graphs
... The concept of Geometric-Arthimetic degree (deg) index of a graph H, denoted by G/A deg(H), introduced by Mogharrab and Fath-Taber [2] is the following:.. Definition 1.1: Let H be a no[r] ...
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Topological Efficiency of Some Product Graphs
... some product graphs such as Cartesian product, join, corona product, composition and hierarchical product were ...composite graphs such as tensor product, strong ...
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Some Domination Parameters of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs
... direct product is also called as the tensor product, categorical product, cardinal product, relational product, Kronecker product, weak direct product, or ...the ...
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Some Properties of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs
... direct product is also called as the tensor product, categorical product, cardinal product, relational product, Kronecker product, weak direct product, or ...the ...
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Restricted Connectivity of Cartesian Product Graphs
... ity of a minimum k-restricted vertex-cut of G. In this paper, we give the 3-restricted connectivity and the 4-restricted connectivity of the Cartesian product graphs, and we proposed two conjectures for ...
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The Geodetic Parameters of Strong Product Graphs
... strong product of graph and some observation on split geode- tic number, nonsplit geodetic number, strong split geodetic number of composition graphs and join of ...
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Perfect Degree Support Product Graphs
... Abstract--For a graph G(V,E), the support s(v) of a vertex v is defined as the sum of degrees of its neighbours. A graph G is said to be balanced (highly unbalanced), if the support of all the vertices are same ...
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On Strong Product of Two Fuzzy Graphs
... strong product of two fuzzy graphs is ...fuzzy graphs are effective then their strong product is always effective and it is proved that the strong product of two complete fuzzy ...
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On maximal product of two fuzzy graphs
... maximal product of two fuzzy graphs is ...fuzzy graphs are effective then their maximal product is always ...maximal product of two connected fuzzy graphs is ...maximal ...
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Asteroidal number for some product graphs
... The notion of Asteroidal triples was introduced by Lekkerkerker and Boland [6]. D.G.Corneil and others [2], Ekkehard Kohler [3] further investigated asteroidal triples. Walter generalized the concept of asteroidal ...
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Arens-irregularity of tensor product of Banach algebras
... injective tensor norm is not algebra norm. To find which one of tensor norms is not algebra norm, we want to know if there any relationship between having the bounded approximation property for Banach space ...
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Tensor Product Representation for Switched Linear Systems
... new tensor-product representation for describing the dynamic behavior of switched linear systems has been ...The tensor-product representation makes it easy to see the relationship between ...
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