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 $\sum_{uv\in E} ε_{G}(v)D_{G}(v)$, where ε_{G}(v) is the eccentricity of a vertex v in G and D_{G}(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**

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Volume 2, 1-2

Winter and Spring 2012

Pages 37-41

**Receive Date:**04 December 2011**Revise Date:**21 February 2012**Accept Date:**11 May 2012