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Characterization of n-Vertex Graphs of Metric Dimension n − 3 by Metric Matrix

Authors
  • wang, juan
  • miao, lianying
  • liu, yunlong
Publication Date
May 27, 2019
Source
MDPI
Keywords
Language
English
License
Green
External links

Abstract

3 by constructing a special distance matrix, called metric matrix. The metric matrix makes it so a class of graph and its twin graph are bijective and the class of graph is obtained from its twin graph, so it provides a basis for the extension of graphs with respect to metric dimension. Further, the metric matrix gives a new idea of the characterization of extremal graphs based on metric dimension.

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