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**Mean labeling on degree splitting graph of star graph.**
*(English)*
Zbl 1427.05195

Summary: In this paper, we define mean labeling for degree splitting of star graphs. We consider the mean labeling for degree splitting graph of single star and two star graphs. Also, we say that a degree splitting graph for \(n\) star is a mean graph if \(n<3\). Then the mean labeling for degree splitting graph of two star with a wedge in common is also given. And the degree splitting graph of three star graph with wedge in common is a mean graph.

### MSC:

05C78 | Graph labelling (graceful graphs, bandwidth, etc.) |

### References:

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[3] | J. A. Gallian, A dynamic survey of graph labeling, The Electronic Journal of Combinatorics 6 (2010) # DS6. |

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[5] | J. Devaraj, A study on different classes of graphs and their labelings, Ph.D thesis, University of Kerala, India 2002. |

[6] | R. Ponraj, S. Somasundaram, On the degree splitting graph of a graph, National Academy Science letters 27 (2004) 275 - 278. |

[7] | E. Sampathkumar, Walikar, On the splitting of a graph, The Karnataka University Journal Science 25(1980) 13 - 16 · Zbl 0494.05052 |

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