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Spectral Hypergraph Theory
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[1] |
S. Hu and L. Qi,
"Algebraic
connectivity of an even uniform hypergraph'', Journal of
Combinatorial Optimization 24 (2012) 564-579.
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[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. |
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[3] |
L.
Qi,
"Ĥ-Eigenvalues
of Laplacian and Signless Lapaclian Tensors'',
Communications in Mathematical Sciences, 12 (2014)
1045-1064. |
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[4] |
S. Hu and L. Qi,
"The Laplacian of a uniform hypergraph'',
Journal of Combinatorial Optimization, 29 (2015) 331-366.
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[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. |
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[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. |
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[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. |
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[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. |
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[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. |
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[10] |
H.
Li, J. Shao and L. Qi,
"The extremal spectral radii of $k$-uniform supertrees",
Journal of Combinatorial Optimization, 32 (2016) 741-765. |
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[11] |
H.
Li, J. Shao and L. Qi,
"The extremal spectral radii of $k$-uniform supertrees",
Journal of Combinatorial Optimization, 32 (2016) 741-765. |
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[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. |
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[13] |
J. Xie and L. Qi,
"Spectral directed hypergraph theoy via tensors",
Linear and Multilinear Algebra,
.64
(2016)
780-794. |
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| [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. |
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| [15] |
C. Ouyang, L. Qi and X.
Yuan,
"The first few unicyclic and bicyclic hypergraphs with
larger spectral radii'',
July 2016. arXiv:1067.08291. |
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| [16] |
X. Yuan, L. Qi, J. Shao and
C. Ouyang, "Some properties and applications of
odd-colorable $r$-hypergraphs'', August 2016. |
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| [17] |
Y. Chen, L. Qi and X. Zhang,
"The Fiedler vector of a Laplacian tensor for
hypergraph partitioning'', September 2016. |
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| [18] |
C. Cui, Z. Luo, L. Qi and H.
Yan,
"Computing the analytic connectivity of a uniform
hypergraph'', November 2016.
arXiv:1611.01372. |
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[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.
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