Cite this article as:

Sapunov S. V. On upper bound of vertex distinguishing word length on vertex labeled graph . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 2, pp. 105-111. DOI: https://doi.org/10.18500/1816-9791-2013-13-2-1-105-111


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Russian
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On upper bound of vertex distinguishing word length on vertex labeled graph

Abstract: 

The problem of vertex distinguishing on vertex labeled graphs is considered. Two vertices are called distinguishable if associated languages over the alphabet of labels are different. A linear upper bound of vertex distinguishing word length equal to half the number of vertices is obtained. 

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