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The characteristic polynomial of lexicographic product of graphs

Linear Algebra and its Applications, 2018
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Wang, Zhijun, Wong, Dein
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Doubly Isolate Domination in Lexicographic Product of Graphs

International Journal of Mathematics and Computer Science
For given positive integers a, b, and c such that 2\leq a\leq b\leq c, we show that there exists a connected graph G such that \gamma(G)=a, \gamma_0(G)=b, and \gamma_{00}(G)=c where \gamma is a domination number and \gamma_0 is an isolate domination number. Moreover, we characterize the doubly isolate dominating set for the lexicographic product of two
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Vertex types in some lexicographic products of graphs

Linear and Multilinear Algebra, 2018
ABSTRACTLet M=[mij] be a symmetric matrix, or equivalently, a weighted graph Gˆ whose edge ij has the weight mij. The eigenvalues of Gˆ are the eigenvalues of M.
Milica Andelić   +3 more
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Partially composed property of generalized lexicographic product graphs

Discrete Mathematics, Algorithms and Applications, 2017
For a vertex property [Formula: see text] and a graph [Formula: see text], a set [Formula: see text] of vertices of [Formula: see text] is a [Formula: see text]-set of [Formula: see text] if [Formula: see text]. The maximum and minimum cardinality of a [Formula: see text]-set of [Formula: see text] are denoted by [Formula: see text] and [Formula: see ...
Nopparat Pleanmani   +2 more
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INDEPENDENT SEMITOTAL DOMINATION IN THE LEXICOGRAPHIC PRODUCT OF GRAPHS

Advances and Applications in Discrete Mathematics, 2023
Susada, Bryan L., Eballe, Rolito G.
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Double domination in lexicographic product graphs

Discrete Applied Mathematics, 2020
Abel Cabrera Martínez   +1 more
exaly  

On the super domination number of lexicographic product graphs

Discrete Applied Mathematics, 2019
Juan A Rodríguez-Velázquez
exaly  

Total Roman domination in the lexicographic product of graphs

Discrete Applied Mathematics, 2019
Dorota Kuziak
exaly  

On the weak Roman domination number of lexicographic product graphs

Discrete Applied Mathematics, 2019
Hebert Perez-Roses   +1 more
exaly  

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