The singularity of two kinds of tricyclic graphs

Let $ G $ be a finite simple graph and let $ A(G) $ be its adjacency matrix. Then $ G $ is $ singular $ if $ A(G) $ is singular. Suppose $ P_{b_{1}}, P_{b_{2}}, P_{b_{3}} $ are three paths with disjoint vertices, where $ b_i\geq 2 (i = 1, 2, 3) $, and at most one of them is 2. Coalescing together on...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Haicheng Ma, Xiaojie You, Shuli Li
Format:	Article
Language:	English
Published:	AIMS Press 2023-02-01
Subjects:	adjacency matrix singular graphs probability nullity
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2023448?viewType=HTML