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The determinant of the wheel graph and conjectures by Yong

Authors: 
Iyad T. Abu-Jeib
Journal Name: 
Missouri J. Math. Sci.
Volume: 
18
Issue: 
2
Pages From: 
142
To: 
146
Date: 
Saturday, April 1, 2006
Keywords: 
adjacency matrix, wheel graph, complete graph
Abstract: 
We prove that the determinant of the adjacency matrix of the wheel graph of even order is equal to the determinant of the adjacency matrix of the complete graph of the same order. We present counterexamples to two conjectures by Yong about simple undirected graphs.