一、主持或参加科研项目(课题)情况:
1. 国家自然科学基金面上项目,,混合图的Hermite谱研究,2018/01-2021/12,48万元,在研,参加
2. 国家自然科学基金面上项目,,定向图谱理论研究及其应用,2016/01-2019/12,50万元,在研,主持
3. 国家自然科学基金青年项目,,一些传递图类及其相关问题的研究,2014/01-2016/12, 22万元,已结题,参加
4. 国家自然科学基金面上项目,,图的谱性质及在复杂网络研究中的应用,2012/01-2015/12,46万元,已结题,参加
5. 国家自然科学基金面上项目,,基于谱图理论的非刚体形状匹配,2008/01-2010/12,25万元,已结题,参加
6. 国家自然科学基金青年项目,,图的Laplace谱理论及其在计算机视觉中的应用,2007/01-2009/12,15万元,已结题,参加
7.主持完成浙江省自然科学基金一般项目:有向图斜谱理论研究(Y12A010 04 9), 2012.1-2014.12;
8.主持完成安徽省教育厅项目:图的特征向量的组合结构性质(kj2008b238) 2009.1-2010.12;
9.主持完成安徽省教育厅重点项目:图的谱性质及在复杂网络中的应用(kj201 0A092)(重点)2011.1-2012.12;
二、主要发表的SCI源期刊论文
[1] Shi-Cai Gong, On the rank of a real skew symmetric matrix discribed by an oriented graph, Linear and Multilinear Algebra,65 ( 10) (2017) 1934–1946.
[2] Yi Wang, Shi-Cai Gong, Yi-Zheng Fan, On the determinant of the Laplacian matrix of a complex unit gain graph,Discrete Mathematic,341(1), (2018) 81-86.
[3] Shi-Cai Gong, Xue-Liang Li , On the Maximal Energy of Integral Weighted Trees with Fixed Total Weight Sum, MATCH Commun. in Math. Comput. Chem., 76 (2016) 615-633.
[4] Shi-Cai Gong, Xue-Liang Li, Guang-Hui Xu, I. Gutman, B. Furtula: Borderenergetic Graphs, MATCH Commun. in Math. Comput. Chem., 74(2)(2015). 321-332.
[5] Xue-Liang Li, Mei-Qin Wei, Shi-Cai Gong, A Computer Search for the Borderenergetic Graphs of Order 10, MATCH Commun. in Math. Comput. Chem., 74(2)(2015) 333-342.
[6] Shi-Cai Gong, Xue-Liang Li, I. Gutman, Guang-Hui Xu, Yu-Xiang Tang, Zhong-Mei Qin, Kang Yang,On Maximal Energy of Trees with Fixed Weight Sequence, MATCH Commun. in Math. Comput. Chem., 75 (2016) 267–278.
[7] Guang-Hui Xu, Shi-Cai Gong, The effect on synchronizability of networks under edge perturbation, Utilitas Mathematica, Accepted.(第一通讯作者).
[8] Hui-Qiu Lin, Ming-Qing Zhai, Shi-Cai Gong,, On graphs with at least three distance eigenvalues less than -1, Linear Algebra and its Appl., 458 (2014), 548–558.
[9] Li-Pu Zhang, Ying-Hong Xu, Guang-Hui Xu, Shi-Cai Gong, A Particle Swarm Runge-Kutta Optimization Algorithm for Solving the BVP of Ordinary Differential Equation, J. Information & Comput. Science 11:1 (2014) 79-91.
[10] Shi-Cai Gong, X. L. Li, Guang-Hui Xu, On the oriented graphs with minimal skew energy, Electronic J. Linear Algebra, 27(2014), 692-702.
[11] Shi-Cai Gong, Guang-Hui Xu, 4-regular oriented graphs with optimum skew energies, European Journal of Combinatorics,36(2014)77-85.
[12] Ming-Qing Zhai, Hui-Qiu Lin, Shi-Cai Gong,Spectral conditions for the existence of specified paths and cycles in graphs, Linear Algebra and its Appl., 459 (2014), 638–547.
[13] Guang-Hui Xu, Shi-Cai Gong, On oriented graphs whose skew spectral radii do not exceed 2, Linear Algebra and its Appl., 439 (2013), 2878–2887.
[14] Shi-Cai Gong,Yao-Ping Hou, Ching-Wah Woo, Guang-Hui Xu, Xiao-Ling Shen, On the integral weighted oriented unicyclic graphs with minimum skew energy, Linear Algebra and its Appl.,439(2013)262-272.
[15] Xiang-Hao Yang, Shi-Cai Gong and Guang-Hui Xu, Minimal skew energy of oriented unicyclic graphs with fixed diameter, Journal of Inequalities and Applications, 2013:418.( 第一通讯作者)
[16] Li-Pu Zhang, Ying-Hong Xu, Guang-Hui Xu, Shi-Cai Gong,A Catfish Effect Inspired Harmony Search Algorithm for Optimization,Int. J. Nonlinear Sci. Numer. Simul. 2013; 14(6): 413–422
[17] Shi-Cai Gong, Guang-Hui Xu, On the nullity of graphs with cutpoint,Linear Algebaric and its Application, 436 (2012) 135–142.
[18] Shi-Cai Gong, Guang-Hui Xu, 3- regular digraphs with optimum skew energy,Linear Algebaric and its Application, 436 (2012) 465–471.(高被引论文)
[19] Shi-Cai Gong, The characteristic set with respect to k-maximal vectors of a tree, Electronic Journal of Linear Algebra, 23(2012) 66-78.
[20] Shi-Cai Gong, Guang-Hui Xu, The characteristic polynomial and the matchings polynomial of a weighted oriented graph, Linear Algebra and its Appl., 436 (2012) 3597–3607.
[21] B. A. Richard, Jia-Yu Shao, Shi-Cai Gong, Chang-Qing Xu, Guang-Hui Xu, On the extremal energy of integral weighted trees, Linear and Multilinear Algebra, 60 (11-12) (2012) 1255-1264.
[22] Shi-Cai Gong, Yi-Zheng Fan, The Property of Maximal Eigenvectors of Trees, Linear Algebaric and multilinear Algebaric, 58 (1) (2010) 105 - 111.
[23] Shi-Cai Gong, Yi-Zheng Fan, Zhi-Xiang Yin, On the nullity of the graphs with pendent trees, Linear Algebaric and its Application, 433 (7) (2010) 1374-1380.
三、主讲课程
1. 主讲的本科生课程: 高等代数、高等数学、线性代数、概率论与数理统计、图论、组合与优化理论
2. 主讲的研究生课程:图论、矩阵理论、化学图论、矩阵分析
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