A conjecture on subset sums of a finite set of positive integers. - Shu-Guang Guo (Australas. J Comb., 2005)

On the Spectral Radius of Unicyclic Graphs with n Vertices and Edge Independence Number q. - Shu-Guang Guo (Ars Comb., 2007)

Ordering trees with n vertices and matching number q by their largest Laplacian eigenvalues. - Shu-Guang Guo (Discret. Math., 2008)

Restricted sumsets in a finite abelian group. - Shu-Guang Guo (Discret. Math., 2009)

The Sharp Lower Bound of the Least Eigenvalue of a Bicyclic Graph. - Shu-Guang Guo (Ars Comb., 2010)

On the Laplacian Spectral Radius of Unicyclic Graphs with Fixed Diameter. - Shu-Guang Guo (Ars Comb., 2012)

On the Spectral Radius of Cactuses with n Vertices and Edge Independence Number q. - Shu-Guang Guo (Ars Comb., 2013)

The domination number and the least Q-eigenvalue. - Guanglong Yu; Shu-Guang Guo; Rong Zhang; Yarong Wu (Appl. Math. Comput., 2014)

On the least signless Laplacian eigenvalue of non-bipartite unicyclic graphs with both given order and diameter. - Shu-Guang Guo; Meiling Xu; Guanglong Yu (Ars Comb., 2014)

Cluster anti-consensus in directed networks of multi-agents based on the Q-theory. - Haibo Jiang; Liping Zhang; Shu-Guang Guo (J. Frankl. Inst., 2014)

On the Q-index and index of triangle-free quasi-tree graphs. - Shu-Guang Guo; Guanglong Yu (Ars Comb., 2016)

Distance spectral radius of a tree with given diameter. - Guanglong Yu; Shu-Guang Guo; Mingqing Zhai (Ars Comb., 2017)

The least Q-eigenvalue with fixed domination number. - Guanglong Yu; Mingqing Zhai; Chao Yan; Shu-Guang Guo (Appl. Math. Comput., 2018)

Ordering connected non-bipartite graphs by the least Q-eigenvalue. - Rong Zhang; Shu-Guang Guo; Guanglong Yu (Ars Comb., 2018)

Sharp upper bounds on the Q-index of (minimally) 2-connected graphs with given size. - Shu-Guang Guo; Rong Zhang (Discret. Appl. Math., 2022)

On the multiplicity of the least signless Laplacian eigenvalue of a graph. - Fenglei Tian; Shu-Guang Guo; Dein Wong (Discret. Math., 2022)

The Sharp Upper Bounds on the Aα -Spectral Radius of C4-Free Graphs and Halin Graphs. - Shu-Guang Guo; Rong Zhang (Graphs Comb., 2022)

Maxima of the Q-Spectral Radius of C3 (C4)-Free Graphs with Given Size and Minimum Degree $ delta ge 2$. - Shu-Guang Guo; Rong Zhang (Graphs Comb., 2023)

Maximizing the signless Laplacian spectral radius of minimally 3-connected graphs with given size. - Shu-Guang Guo; Rong Zhang (Discret. Appl. Math., 2023)

Maxima of the Aα-index of graphs with given size and domination number. - Rong Zhang; Shu-Guang Guo (Discret. Appl. Math., 2024)

Some extremal problems on Aα-spectral radius of graphs with given size. - Aiyun Ye; Shu-Guang Guo; Rong Zhang (Discret. Appl. Math., 2024)

An ordering theorem on the Q-spectral radius of graphs with given size and its applications. - Shu-Guang Guo; Rong Zhang (Discret. Appl. Math., 2025)