Mathematics

Prof. Zhao Cheng


Curriculum Vitae

 

Name: Zhao Cheng

Title: Professor

Tel: 

Email: chengzhao@sdu.edu.cn

Address: SDU-ANU Joint Science College, Shandong University, Weihai, 264209, Shandong, P. R. China

Office: R.1813, Beiheng Building

 

 

Research Interests:  

Discrete Mathematics: Combinatorics and Graph Theory, Combinatorial Algorithms and Optimization, Operational Research

 

Education:    

Ph.D.: West Virginia University, 1993

M.S.:  Shandong University, 1987  

B.S.:  Shandong University, 1983

 

Employment:  

2023.5—Professor, JSC, Shandong University (China)

2005.8—2023.5: Full Professor, Indiana State University (USA)

1999.8—2005.8: Associate Professor, Indiana State University (USA)

1995.8—1999.8: Assistant Professor, Indiana State University (USA)

1994.5—1995.8: Research Fellow, Post-Doc, Reading University (UK)

1987.8—1989.8: Lecturer, Shandong University (China)

 

Recent Selected Publications:

[1] Zhao, C. (2022) On the maxima of motzkin-straus programs and cliques of graphs, Journal of Global Optimization, Volume 84, Issue 4 Dec 2022 pp 989–1003 https://doi.org/10.1007/s10898-022-01187-3  (joint work with Drs. Tang, QS, Zhang, XD)

[2] Zhao, C. (2019). ON CLIQUES AND LAGRANGIANS OF HYPERGRAPHS. Bulletin of the Korean Mathematical Society, 56(No.3), 569-583. (joint work with Tang, Q., Zhang, X.)

[3] Zhao, C. (2018). A continuous characterization of the maximum vertex-weighted clique in hypergraphs. Journal of Combinatorial Optimization. Volume 35 Issue 4, 2018: 1250-1260. (joint work with Tang, Q., Zhang, X., Wang, G.)

[4] Zhao, C. (2017). Homogeneous multilinear functions on hypergraph cliques. Bulletin of the Korean Mathematical Society, 54(3), 1037-1067. http://bkms.kms.or.kr/ (joint with Tang, Q., Zhang, X., Lu, X.)

[5] Zhao, C. (2017). An image encryption algorithm based on compound homogeneous hyper-chaotic system. Nonlinear Dynamics, Springer. Vol. 89, 2017, 61-79. DOI:10.1007/s11071-017-3436-y (joint work with Zhu, H., Zhang, X., Yu, H.)

[6] Zhao, C. (2016) Connection between the clique number and the Lagrangian of $3$-uniform hypergraphs, Optimization Letters volume 10, pages 685 - 697 (2016), DOI: 10.1007/s11590-015-0907-2. (joint work with Tang, S., Peng, Y, Zhang, X.)

[7] Zhao, C. (2016) An extension of Motzkin-Straus Theorem to non-uniform hypergraphs and its applications, Discrete Applied Mathematics, Volume 200, 19 February 2016, Pages 170-175, DOI information: 10.1016/j.dam.2015.06.037. (joint work with Peng, Y., Tang, Q.)

[8] Zhao, C. (2016). A Novel Image Encryption Scheme Using the Composite Discrete Chaotic System, in Entropy 18(8):276-280.August 2016. (joint work with Zhu, H., Zhang, X., Yu, H.)

[9] Zhao, C. (2015) On Finding Lagrangians of 3-uniform Hypergraphs, Ars Combinatoria 122 (2015), 235-256. (joint work with Peng, Y.)

[10] Peng, Y., Tang, Q., Zhao, C. (2015). On Lagrangians of r-uniform hypergraphs. Journal of Combinatorial Optimization, 30(3), 812-825. (Joint work with Y. Peng, Q. Tang).

[11] Zhu, H., Zhao, C., Zhang, X., Yang, L. (2014). An image encryption scheme using generalized Arnold map and affine cipher. International Journal for Light and Electron Optics, 125(22), 6672-6677.

[12] Tang, Q., Peng, Y., Zhang, X., Zhao, C. (2014). On Graph-Lagrangians of Hypergraphs Containing Dense Subgraphs. Journal of Optimization Theory and Applications, 163(1), 31-56.

[13] Sun, Y., Tang, Q., Zhao, C., Peng, Y. (2014). On the Largest Graph-Lagrangian of 3-Graphs with Fixed Number of Edges. Journal of Optimization Theory and Applications, 163(1), 57-79.

[14] Zhao, C (2014). Some results on Lagrangians of hypergraphs, Discrete Applied Mathematics, Volume 166, 31 March 2014, Pages 222-238. (WIth Q. Tang, Y. Peng, and X. Zhang).

[15] Zhao, C (2013). A novel image encryption compression scheme using hyper-chaos and Chinese remainder theorem, Sig. Proc.: Image Comm. 28(6): 670-680 (2013), (joint with Zhu and Zhang).

[16.]  Zhao, C (2013). A novel iris and chaos-based random number generator, Computers and Security, vol. 36 (2013), pp 40-48 (with Zhu, Zhang, and Yang).

[17] Zhao, C (2013). A Motzkin and Straus Type Result for 3-Uniform Hypergraphs, Graphs and Combinatorics, (2013) vol. 29, pp.681-694, joint work with Dr. Peng.

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