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Far East Journal of Applied Mathematics

Abstract:
A neighbourhood set S of a graph

is a non-split neighbourhood set if the induced subgraph

is connected. The non-split neighbourhood number

of G is the minimum cardinality of the non-split neighbourhood set. In this paper, some properties of this new parameter are developed.

Keywords and phrases: domination number, split domination number, non-split domination number, neighbourhood number, split neighbourhood number, non-split neighbourhood number.

Number of Downloads: 3 | Number of Views: 784

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P-ISSN: 0972-0960

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