Spectral Hypergraph Theory

 

[1]

S. Hu and L. Qi, "Algebraic connectivity of an even uniform hypergraph'', Journal of Combinatorial Optimization 24 (2012) 564-579.

 

[2] G. Li, L. Qi and G. Yu, "The Z-eigenvalues of a Symmetric Tensor and its Application to Spectral Hypergraph Theory'', Numerical Linear Algebra with Applications, 20 (2013) 1001-1029.
   
[3] L. Qi, "Ĥ-Eigenvalues of Laplacian and Signless Lapaclian Tensors'', Communications in Mathematical Sciences, 12 (2014) 1045-1064.
   
[4] S. Hu and L. Qi, "The Laplacian of a uniform hypergraph'',  Journal of Combinatorial Optimization, 29 (2015) 331-366. 
   
[5] S. Hu and L. Qi, "The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform '', Discrete Applied Mathematics,  169 (2014) 140-151.
   
[6] S. Hu, L. Qi and J. Xie, "The largest Laplacian and signless Laplacian eigenvalues of a uniform hypergraph'', Linear Algebra and Its Applications, 469 (2015) 1-27.
   
[7]  S. Hu, L. Qi and J. Shao, "Cored hypergraphs, power hypergraphs and their Laplacian eigenvalues'',  Linear Algebra and Its Applications 439 (2013) 2980-2998.
   
[8] J. Shao, L. Qi and S. Hu, "Some new trace formulas of tensors with applications in spectral hypergraph theory'', Linear and Multilinear Algebra 63 (2015) 971-992.
   
[9]  L. Qi, J. Shao and Q. Wang, "Regular Uniform Hypergraphs, $s$-Cycles, $s$-Paths and Their largest Laplacian H-Eigenvalues'', Linear Algebra and Its Applications, 443 (2014) 215-227.
   
[10]  H. Li, J. Shao and L. Qi, "The extremal spectral radii of $k$-uniform supertrees", Journal of Combinatorial Optimization, 32 (2016) 741-765.
   
[11]  H. Li, J. Shao and L. Qi, "The extremal spectral radii of $k$-uniform supertrees", Journal of Combinatorial Optimization, 32 (2016) 741-765.
   
[12] X. Yuan, L. Qi and J. Shao, "The proof of a conjecture on largest Laplacian and signless Laplacian H-eigenvalues of uniform hypergraphs'', Linear Algebra and Its Applications 490 (2016) 18-30.
   
[13] J. Xie and L. Qi, "Spectral directed hypergraph theoy via tensors",  Linear and Multilinear Algebra,  .64  (2016) 780-794.
   
[14] J. Chang, Y. Chen and L. Qi, "Computing eigenvalues of large scale sparse tensors arising from a hypergraph", SIAM Journal on Scientific Computing, 38 (2016) A3618-A3643.
   
[15] C. Ouyang, L. Qi and X. Yuan, "The first few unicyclic and bicyclic hypergraphs with larger spectral radii'', July 2016. arXiv:1067.08291.
   
[16] X. Yuan, L. Qi, J. Shao and C. Ouyang, "Some properties and applications of odd-colorable $r$-hypergraphs'', August 2016.
   
[17] Y. Chen, L. Qi and X. Zhang, "The Fiedler vector of a Laplacian tensor for hypergraph partitioning'', September 2016.
   
[18] C. Cui, Z. Luo, L. Qi and H. Yan, "Computing the analytic connectivity of a uniform hypergraph'', November 2016.   arXiv:1611.01372.
   
[19].

J. Yue, L. Zhang, M. Lu and L. Qi, "The adjacency and signless Laplacian spectra of cored hypergraphs and power hypergraphs'', Journal of the Operations Research Society of China, DOI 10.1007/s40305-016-0141-3.