Smith normal form of some distance matrices

Abstract

We determine the Smith normal form of the distance matrices of unicyclic graphs and of the wheel graph with trees attached to each vertex.

Keywords:

• Distance matrix
• smith normal form
• unicyclic graph
• wheel graph

AMS Subject Classification:

• 05C50

Acknowledgements

The first author acknowledges support from the JC Bose Fellowship, Department of Science and Technology, Government of India.

Notes

No potential conflict of interest was reported by the authors.