On distance-balanced graphs

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Remarks on Distance-Balanced Graphs

Distance-balanced graphs are introduced as graphs in which every edge uv has the following property: the number of vertices closer to u than to v is equal to the number of vertices closer to v than to u. Basic properties of these graphs are obtained. In this paper, we study the conditions under which some graph operations produce a distance-balanced graph.

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remarks on distance-balanced graphs

distance-balanced graphs are introduced as graphs in which every edge uv has the followingproperty: the number of vertices closer to u than to v is equal to the number of vertices closerto v than to u. basic properties of these graphs are obtained. in this paper, we study theconditions under which some graph operations produce a distance-balanced graph.

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2010

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2009.10.006