Characterization Of Tricyclic Graphs With Exactly Two Q-main Eigenvalues

This paper which stands on the basis of previous results, do further research on the characterization of tricyclic graphs with exactly two Q-main eigenvalues. The concrete content is in the following.●In the first two chapters, we introduce the background and significance of the research, including the development of a representative at home and abroad regarding this aspect. Based on this research background and profound dis-cussion, by using deep-going analysis, it fully shows the main work’s necessity and innovation.●In Chapter3, We determine all the tricyclic graphs without pendants having exactly two Q-main eigenvalues●In Chapter4, we determine all the tricyclic graphs with pendants having exactly two Q-main eigenvalues●In Chapter5, we give the main conclusion of the article.