On the Critical Group of Certain Subdivided Wheel Graphs

Authors

  • Zahid Raza Department of Mathematics, College of Sciences, The University of Sharjah, Sharjah, United Arab Emirates.

Keywords:

Laplacian matrix, critical group, Smith normal form, tree number

Abstract

In this paper, we study the family of graphs Wc2n for n ≥ 2, defined by removing the alternate spokes of a wheel graph with 2n rim vertices. We then determine the abstract structure of the critical group of the graph Wc2n and show that the critical group of this whole family of graphs Wc2n is the product of two cyclic groups.

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Published

2015-12-31

Issue

Vol. 47 No. 2 (2015)

Section

Articles

How to Cite

On the Critical Group of Certain Subdivided Wheel Graphs. (2015). Punjab University Journal of Mathematics, 47(2), 54-61. https://pujm.pu.edu.pk/index.php/pujm/article/view/52