Some Remarks on the 2-Distance-Balanced Graphs

Authors

  • Hassan Kharazi Department of Mathematics, Faculty of Science, Imam Hossein University, Tehran
  • Mehdi Alaeiyan School of Mathematics, Iran University of Science and Technology, Tehran

DOI:

https://doi.org/10.26713/cma.v8i3.406

Keywords:

2-distance-balanced graph, Strongly 2-distance-balanced graph, Cartesian product, Lexicographic product

Abstract

The aim of this paper is to investigate the notion of 2-distance-balanced graphs as a generalized form of distance-balanced graphs. Furthermore, we introduce a subclass of such graphs so-called strongly 2-distance-balanced graphs and present some related results based on Cartesian and lexicographic products of two graphs.
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References

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Published

December 30, 2017

Issue

Vol. 8 No. 3 (2017)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Kharazi, H., & Alaeiyan, M. (2017). Some Remarks on the 2-Distance-Balanced Graphs. Communications in Mathematics and Applications, 8(3), 229-240. https://doi.org/10.26713/cma.v8i3.406