Open Access Research Article

Bondage Number for Jump Graph of Some Trees.

Authors

  • B. Atay *

https://doi.org/10.22105/kmisj.v1i1.44

Abstract

The dominating set of a graph is a vertex set in that every vertex which is not in the dominating set is adjacent to at least one vertex of the dominating set. The domination number is the minimal cardinality among all dominating sets. The bondage number of any graph is the minimal cardinality among all sets of edges whose removal from the graph results in a graph with domination number greater than the domination number of the preliminary graph. In this paper, we investigate the bondage number for jump graph of some certain trees.

Keywords

Domination number bondage number jump graph
References (15)
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  4. [4] D. F. Hartnell and D. F. Rall, Bounds on the bondage number of a graph, Discrete Math, 128:1-3, 173–177 (1994).

  5. [5] F. Harary, Graph Theory, Addition-Wesley Publishing Co., Reading, MA/Menlo Park, CA/London, (1969).

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How to Cite

B. Atay. (2024). Bondage Number for Jump Graph of Some Trees. Karshi Multidisciplinary International Scientific Journal, 1(1), 57-64. https://doi.org/10.22105/kmisj.v1i1.44

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