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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.

Zahid Raza. (2015) On the Critical Group of Certain Subdivided Wheel Graphs, Punjab University Journal of Mathematics, Volume 47, Issue 2.
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