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Prime Factorization And Domination In The Hierarchical Product Of Graphs

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Anderson S. E., Guob Y., Tenney A., Wash K. A.

Discussiones Mathematicae Graph Theory

2017

tom 37

nr 4

873-890

In 2009, Barrière, Dalfó, Fiol, and Mitjana introduced the generalized hierarchical product of graphs. This operation is a generalization of the Cartesian product of graphs. It is known that every connected graph has a unique prime factor decomposition with respect to the Cartesian product. We generalize this result to show that connected graphs indeed have a unique prime factor decomposition with respect to the generalized hierarchical product. We also give preliminary results on the domination number of generalized hierarchical products.

Ograniczanie wyników

1 Discussiones Mathematicae Graph Theory

1 Anderson S. E.

1 Guob Y.

1 Tenney A.

1 Wash K. A.

1 2017

Wyniki wyszukiwania

Prime Factorization And Domination In The Hierarchical Product Of Graphs