Edge distance-balanced graphs are graphs in which for every edge $e = uv$ the number of edges closer to vertex $u$ than to vertex $v$ is equal to the number of edges closer to $v$ than to $u$. In this paper, we study this property under some graph operations.
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Tavakoli, M., Yousefi-Azari, H., & Ashrafi, A. R. (2012). Note on edge distance-balanced graphs. Transactions on Combinatorics, 1(1), 1-6. doi: 10.22108/toc.2012.86
MLA
M. Tavakoli; H. Yousefi-Azari; Ali Reza Ashrafi. "Note on edge distance-balanced graphs". Transactions on Combinatorics, 1, 1, 2012, 1-6. doi: 10.22108/toc.2012.86
HARVARD
Tavakoli, M., Yousefi-Azari, H., Ashrafi, A. R. (2012). 'Note on edge distance-balanced graphs', Transactions on Combinatorics, 1(1), pp. 1-6. doi: 10.22108/toc.2012.86
VANCOUVER
Tavakoli, M., Yousefi-Azari, H., Ashrafi, A. R. Note on edge distance-balanced graphs. Transactions on Combinatorics, 2012; 1(1): 1-6. doi: 10.22108/toc.2012.86