# A note on eccentric distance sum

Document Type : Original Article

Author

Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785 – 136, I R. Iran

Abstract

The eccentric distance sum is a graph invariant defined as $\sum_{uv\in E} εG(v)DG(v)$, where εG(v) is the eccentricity of a vertex v in G and DG(v ) is the sum of distances of all vertices in G from v. In this paper, we compute the eccentric distance sum of Volkmann tree and then we obtain some results for vertex−transitive graphs

Graphical Abstract

Keywords

#### References

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### History

• Receive Date: 04 December 2011
• Revise Date: 21 February 2012
• Accept Date: 11 May 2012
• First Publish Date: 01 June 2012