翁志文 (Chih-wen Weng) 

• 111 學年度第二學期:

• 離散數學

• 111 學年度第一學期:

  • 離散數學專題

  • 基礎數學

• 110 學年度第二學期:

  • 組合數學導論

  • 代數圖論

• 歷年教授課程
  

履 歷    CV

學歷

• UW-MADISON 數學系 博士 1989/09 - 1995/08
• 國立台灣大學 數學系 學士 1981/08 - 1986/06

學術專長暨研究領域

• 代數組合學 (Algebraic Combinatorics)

學術經歷與榮譽

• 國立交通大學應用數學系副教授 (1995/08 - 2002/02)
• 美國威斯康辛大學麥迪遜分校訪問(2000/07-2000/12)
• 國立交通大學應用數學系教授 (2002/02 -)
• 國立交通大學應用數學系主任(2013/08-2016/7/31)
• 國科會數學組審議委員(2014/1/1-2014/12/31)
• 科技部數學組複審會委員(2015/1/1-2016/12/31)
• 國立交通大學理學院副院長(2018/8/1-2021/1/31)
• 國立交通大學基礎科學小組召集人(2019/8/1 -2021/7/31)
• 國立陽明交通大學理學院代理院長(2021/2/1-2021/7/31)
• 國立陽明交通大學應用數學系主任(2022/8/1-2023/2/28)

近幾年研究計劃

• 圖的阿爾發譜半徑之研究(111/08/01 ∼113/07/31) MOST 111-2115-M-A49 -005 -MY2
• 漢米爾敦圖的德拉型研究(109/08/01 ∼ 111/07/31) MOST 109-2115-M-009 -007 -MY2
• 漢米爾敦圖的類圖譜研究(107/08/01 ∼ 109/07/31) MOST 107-2115-M-009 -009 -MY2

所 有研究計畫        研 究生        畢業研究生

Distance-regular Graphs

• Yu-pei Huang, Yeh-jong Pan and Chih-wen Weng,  Nonexistence of a Class of Distance-Regular Graphs.  the electronic journal of combinatorics, Volume 22, Issue 2 (2015), #P2.37 
  

• Guang-Siang Lee and Chih-wen Weng, A characterization of bipartite distance-regular graphs. Linear Algebra Appl., 446(2014), 91–103

• Guang-Siang Lee and Chih-wen Weng, A spectral excess theorem for nonregular graphs. Journal of Combinatorial Theory, Series A, 119(2012), 1427-1431

• Yeh-jong Pan and Chih-wen Weng, A note on triangle-free distance-regular graphs with a pentagon. Journal of Combinatorial Theory, Series B 99(2009) 266-270

• Yeh-jong Pan and Chih-wen Weng, Three bounded properties in triangle-free distance-regular graphs. European Journal of Combinatorics 29(2008) 1634-1642 

• Yeh-jong Pan, Min-hsin Lu and Chih-wen Weng,  Triangle-free Distance-regular Graphs. Journal of algebraic combinatorics, 27(1)(2008), 23-34 

• Terwilliger, P. and Weng, C., An inequality for regular near polygons. European Journal of Combinatorics 26(2005), 227-235
  

• Terwilliger, P. and Weng, C., Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra. European J. Combin. 25(2004), 287-298 

• Weng, C., Classical Distance-Regular Graphs of Negative Type. Journal of Combinatorial Theory Series B, 76(1999), 93-116
  

• Weng, C., Weak-geodetically Closed Subgroups in Distance-Regular Graphs. Graphs and Combinatorics, 14(1998), 275-304 

• Liang, Y. and Weng, C., Parallelogram-Free Distance-Regular Graphs. Journal of Combinatorial Theory Series B, Volume 71, Issue 2, November 1997, Pages 231-243

• Weng, C., D-bounded Distance-Regular Graphs. European Journal of Comb. 18(1997), 211-229
  

• Weng, C., Kite-Free P- and Q-Polynomial Schemes. Graphs and Combinatorics, 1995, 201-207 

Pooling Designs

• Jun Guo, Kaishun Wang, Chih-wen Weng, Pooling semilattices and non-adaptive pooling designs. Discrete Mathematics 320(2014), 64-72
  

• Tayuan Huang, Kaishun Wang and Chih-wen Weng, A Class of Error-Correcting Pooling Designs over Complexes. J Comb Optim 19(2010), 486–491

• Hau-wen Huang, Yu-pei Huang and Chih-wen Weng,  More on Pooling Spaces. Discrete Mathematics 308(2008), 6330-6338

• Tayuan Huang, Kaishun Wang and Chih-wen Weng, Pooling spaces associated with finite geometry. European Journal of Combinatorics, 29(2008), 1483-1491

• A. G. D'yachkov, Frank K. Hwang, A. J. Macula, P. A. Vilenkin and Chih-wen Weng, A Construction of Pooling Designs with Some Happy Surprises. Journal of Computational Biology, 12(8)(2005), 1129-1136
  

• Tayuan Huang and Chih-wen Weng, Pooling Spaces and Non-Adaptive Pooling Designs. Discrete Mathematics, 282(1-3)(2004), 163-169
  

• Tayuan Huang and Chih-wen Weng, A note on decoding of superimposed codes. Journal of Combinatorial Optimization, 7(2003), 381-384
  

Presentation and Representation Theory

• Hau-wen Huang and Chih-wen Weng, The flipping puzzle on a graph. European Journal of Combinatorics, 31 (2010), 1567-1578

• Hau-wen Huang and Chih-wen Weng, The edge-fipping group of a graph. European Journal of Combinatorics, Volume 31, Issue 3, April 2010, Pages 932-942
  

• Ito T., Terwilliger P. and Weng C., The quantum algebra U_q(sl₂) and its equitable presentation. Journal of Algebra 298 (2006),  284-301
  

Combinatorial Matrix Theory

• Yen-Jen Cheng, Louis Kao and Chih-wen Weng, Corrigendum of a Theorem on New Upper Bounds for the a-Indices. Comment on Lenes et al. New Bounds for the a-Indices of Graphs. Mathematics 2020, 8, 1668. Mathematics 2022, 10, 2619,  https://doi.org/10.3390/math10152619

• Yen-Jen Cheng, Chia-An Liu, Chih-wen Weng, Counterexamples of the Bhattacharya-Friedland-Peled conjecture. Linear Algebra and its Applications, 641 (2022), 200-207

• Louis Kao and Chih-wen Weng, A Note on the Largest Real Eigenvalue of a Nonnegative Matrix. Applied Mathematical Science, Vol. 15, 2021, no. 12, 553-557, https://doi.org/10.12988/ams.2021.914558

• Yen-Jen Cheng, Feng-lei Fan and Chih-wen Weng, An extending result on spectral radius of bipartite graphs. Taiwanese Journal of Mathematics, 22(2)(2018), 263-274

• Chia-an Liu, Chih-wen Weng, Spectral characterizations of two families of nearly complete bipartite graphs. Annals of Mathematical Sciences and Applications, Volume 2, Number 2(2017), 241-254
  

• Feng-lei Fan and Chih-wen Weng, A characterization of strongly regular graphs in terms of the largest signless Laplacian eigenvalues. Linear Algebra and its Applications, 506(2016), 1-5
  

• Fan-Hsuan Lin and Chih-wen Weng, A bound on the Laplacian spread which is tight for strongly regular graphs, Linear Algebra and its Applications. 494(2016),  11-22
  

• Chia-an Liu, Chih-wen Weng, Spectral radius of bipartite graphs. Linear Algebra and its Applications, 474(2015), 30–43
  

• Yu-pei Huang and Chih-wen Weng, Spectral Radius and Average 2-Degree Sequence of a Graph.  Discrete Mathematics, Algorithms and Applications Vol. 6, No. 2 (2014), 1450029 (9 pages)
  

• Chia-an Liu and Chih-wen Weng, Spectral radius and degree sequence of a graph. Linear Algebra and its Applications, Volume 438, Issue 8, 15 April 2013, Pages 3511-3515

• Wei, P., Weng, C., A Typical Vertex of a Tree . Discrete Math, 226(2001), 337-345
  

Graph Theory

• Louis Kao and Chih-wen Weng, The relation between Hamiltonian and 1-tough properties of the Cartesian product graphs. Graphs and Combinatorics, Published online: 10 March 2021

Celluar Neutral Networks

• Shih, C. and Weng. C., On the Templates Corresponding to Cycle-Symmetric Connectivity in Celluar Neutral Networks. International Journal of Bifurcation and Chaos, 12(2002),  2957-2966
  

• Shih, C., Weng, C. Cycle-Symmetric Matrices and Convergent Neutral Networks. Physica D, 146(2000), 213-220
  

Unpublished Articles

• 翁志文, 讓我們貢獻青 春在數學及其應用(給交大應數系學生), 2014/5月
  

• 翁 志文, 組合與代數, 科學月刊 , 2009年/9月

• Hau-wen Huang and Chih-wen Weng,  Combinatorial Representations of Coxeter Graphs over a Field of Two Elements.

• Partially Distance-Regular Graphs and Partially Walk-Regular Graphs.

• A Survey on D-bounded Distance-regular Graphs, 2007 

• Subgraphs Graph in a Distance-regular Graph, 2007

• Cycle-Symmetric Matrices, 1999