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期刊論文
  1. Hsiu-Chunj Pan; Hsun Su; Shin-Shin Kao , “On the 2-Vertex-Fault Hamiltonicity for Graphs Satisfying Ore's Theorem” , 2022 , Journal of Information Science and Engineering , vol.38 , p.833-857. (SCI期刊)
  2. Hsun Su; Hsiu-Chunj Pan; Shih-Yan Chen; Shin-Shin Kao , “On mutually independent hamiltonian cycles” , 2018 , Ars Combinatoria , vol.139 , p.185-195. (SCI期刊)
  3. Hsun Su; Yuan-Kang Shih; Shih-Yan Chen; Shin-Shin Kao* , “A study on degree characterization for hamiltonian-connected graphs ” , 2017 , ARS COMBINATORIA , vol.133 , p.297-316. (SCI期刊)
  4. Shih-Yan Chen; Shin-Shin Kao; Hsun Su , “On degree-sequence characterization and the extremal number of edges for various Hamiltonian properties under fault tolerance” , 2016 , Discrete Mathematics and Theoretical Computer Science , vol.17 , p.307-314. (SCI期刊)
  5. Yuan-Kang Shih; Hsun Su; Shin-Shin Kao , “On the 1-fault hamiltonicity for graphs satisfying Ore’s Theorem and its generalization” , 2014 , International Journal of Computer Mathematics , vol.91 , p.1931-1939. (SCI期刊)
  6. Shin-Shin Kao; Hua-Min Huang; Kung-Ming Hsu; Lih-Hsing Hsu , “Cubic 1-fault-tolerant hamiltonian graphs, Globally 3*-connected graphs, and Super 3-spanning connected graphs” , 2013 , Ars Combinatoria , vol.110 , p.301-322. (SCI期刊)
  7. Hsun Su; Yuan-Kang Shih; Shin-Shin Kao , “On the 1-fault hamiltonicity for graphs satisfying Oreʼs theorem ” , 2012 , Information Processing Letters , vol.112 , p.839-843. (SCI期刊)
  8. Hsun Su; Shih-Yan Chen; Shin-Shin Kao , “Mutually independent Hamiltonian cycles in alternating group graphs” , 2012 , J. Supercomputing , vol.61 , p.560-571. (SCI期刊)
  9. Shin-Shin Kao; Cheng-Kuan Lin; Hua-Min Huang and Lih-Hsing Hsu , “Pancyclicity, Panconnectivity, and Panpositionability for General Graphs and Bipartite Graphs” , 2012 , Ars Combinatoria , vol.105 , p.231-246. (SCI期刊)
  10. Hsun Su; Yuan-Kang Shih; Shin-Shin Kao , “An Improved Construction Method for MIHCs on Cycle Composition Networks” , 2012 , World Academy of Science, Engineering and Technology , vol.0 , p.128-132. (EI期刊)
  11. Y. K. Shih,; Shin-Shin Kao , “One-to-one disjoint path covers on k-ary n-cubes” , 2011 , Theoretical Computer Science , vol.412 , p.4513-4530. (SCI期刊)
  12. H. Su; J. Pan; Shin-Shin Kao , “Mutually independent Hamiltonian cycles in k-ary n-cubes” , 2011 , Computers and Electrical Engineering , vol.37 , p.319-331. (SCI期刊)
  13. Y. K. Shih; S.L. Chang; Shin-Shin Kao , “The spanning laceability of k-ary n-cubes when k is even” , 2010 , The Int. Conf. on Electrical, Computer, Electronic and Communication Engineering , vol.0 , p.232-240. (EI期刊)
  14. Li-Yen Hsu; Feng-I Ling; Shin-Shin Kao; Hsun-Jung Cho , “Ring embedding in faulty generalized honeycomb torus – GHT(m, n, n/2)” , 2010 , International Journal of Computer Mathematics , vol.87 , p.3344-3358. (SCI期刊)
  15. Yuan-Kang Shih; Hui-Chun Chuang; Shin-Shin Kao; Jimmy J.M. Tan , “Mutually independent Hamiltonian cycles in dual-cubes” , 2010 , J. Supercomputing , vol.54 , p.239-251. (SCI期刊)
  16. Shih-Yan Chen, Shin-Shin Kao , “Hamiltonian connectivity and globally 3*-connectivity of dual-cube extensive networks” , 2010 , Computers and Electrical Engineering , vol.36 , p.404-413. (SCI期刊)
  17. Shin-Shin Kao; Hong-Chun Hsu; Lih-Hsing Hsu , “Globally bi-3*-connected graphs” , 2009 , J. Discrete Mathematics , vol.309 , p.1931-1946. (SCI期刊)
  18. Yuan-Kang Shih; Yi-Chien Wu; Shin-Shin Kao; Jimmy J.M. Tan , “Vertex-bipancyclicity of the generalized honeycomb tori” , 2008 , Computers & Mathematics with Applications , vol.56 , p.2848-2860. (SCI期刊)
  19. S.S Kao*, Jui-Chia Wu and Yuan-Kang Shih , “Hamiltonian Connectivity, Pancyclicity and 3*-Connectivity of Matching Composition Networks*” , 2008 , J. of Information Science and Engineering , vol.24 , p.615-625. (SCI期刊)
  20. S. S. Kao, K.M. Hsu, L.H. Hsu , “Cubic planar Hamiltonian graphs of various types” , 2006 , Journal of Discrete Mathematics , vol.306 (SCI期刊)
  21. L.Y. Hsu, S. S. Kao, H.J. Cho , “Developing dual-surveillance based networks for intelligent tunnel management” , 2006 , Tunnelling and Underground Space Technology , vol.0 (SCI期刊)
  22. Shin-Shin Kao,Cheng-Kuan Lin, Hua-Min Huang, Lih-Hsing Hsu , “Panpositionable Hamiltonian Graphs” , 2006 , Ars Combinatoria , vol.81 , p.209-223. (SCI期刊)
  23. S.S. Kao ,L.H. Hsu , “The Globally Bi-3* and Hyper Bi-3* Connectedness of the Spider Web Networks” , 2005 , Applied Methmatics and Computation , vol.170 , p.597-610. (SCI期刊)
  24. S.S. Kao* and Y.C. Chen , “A Simple Scheme of Generating Bipartite Graphs with Fault-tolerant Hamiltonian Properties” , 2005 , Chung Yuan Journal , vol.33 , p.11-19.
  25. Shin-Shin Kao, Lih-Hsing Hsu , “Hamiltonian Laceability of Spider Web Networks” , 2005 , Chung Yuan Journal , vol.33 , p.1-10.
  26. S.S. Kao* and L.H. Hsu , “Spider Web networks: a family of optimal, fault tolerant, Hamiltonian bipartite graphs” , 2005 , Applied Math. and Computation , vol.160 , p.269-282. (SCI期刊)
  27. Y-Chuang Chen, J. M. Tan, L.H. Hsu, S.S. Kao , “Super-connectivity and super-edge-connectivity for some interconnection networks” , 2003 , Applied Mathematics and Computation , vol.140 , p.245-254. (SCI期刊)
  28. Shin-Shin Kao, Lih-Hsing Hsu , “Brother trees: A family of optimal 1p-hamiltonian and 1-edge hamiltonian graphs” , 2003 , Information Processing Letters , vol.86(2003) , p.263-269. (SCI期刊)
  29. 高欣欣 , “與眾不同的數學” , 1999 , 科學月刊 , vol.30 , p.248-249.
  30. 高欣欣 , “為什麼學{數學}?” , 1999 , 科學月刊 , vol.30 , p.42-43.
  31. S.Kao , R.E. Caflisch , “Steady Buoyant Droplets with C irculation” , 1998 , PhysicsofFluids , vol.10 , p.1891-1902. (SCI期刊)
  32. S.Kao , “Steady Buoyant Droplets with Circulation and Surface Tension” , 1998 , Chung-Yuan journal , vol.26 , p.7-15.
  33. S. Kao , “Vortex Sheets, Singular Integrals, and Steady Flows” , 1995 , UCLA CAM Report , vol.0 , p.95-132.
研討會論文
  1. 高欣欣 , “出席2021自然司女性學者研討會心得” , 2022 , 2021中華民國數學年會 , 2022 /1 /17 ~ 2022 /1 /18 , 中華民國 台灣 .
  2. 高欣欣 , “從想像出發 Our IMAGINARY journey” , 2019 , 2019中華民國數學年會 , 2019 /12 /7 ~ 2019 /12 /8 , 中華民國 台灣 .
  3. Shin-Shin Kao , “Decompose a graph into two disjoint cycles” , 2019 , 38th “Colloquium on Combinatorics” (KolKom 2019) , 2019 /11 /8 ~ 2019 /11 /9 , Federal Republic of Germany .
  4. 高欣欣 , “Decompose a graph into two disjoint cycles” , 2019 , 第十屆海峽兩岸圖論與組合數學研討會 , 2019 /8 /18 ~ 2019 /8 /23 , 中華民國 台灣 .
  5. Shin-Shin Kao , “Decomposing a Graph into Two Disjoint Cycles Using the Condition of Its Complement (Best Presentation Award)” , 2018 , ICCMA 2018: The 20th International Conference on Computational Methods, Mathematics and Algorithms , 2018 /11 /12 ~ 2018 /11 /13 , Italian Republic .
  6. Shin-Shin Kao , “How logics and syllogism be integrated into ethics courses for undergraduates —an eight-year journey” , 2018 , 2018 5th International Conference on Teaching and Education Sciences (ICTES 2018) , 2018 /7 /2 ~ 2018 /7 /4 , Japan .
  7. Shin-Shin Kao*;Yuan-Kang Shih; Hsun Su , “On Chva ?tal's conjecture for the hamiltonicity of 1-tough graphs and their complements (Best Presentation Award)” , 2018 , ICMNS 2018 : 20th International Conference on Mathematical Networks and Systems , 2018 /1 /22 ~ 2018 /1 /23 , Netherlands .
  8. Shin-Shin Kao; Yuan-Kang Shih; Hsun Su , “The study of 1-tough nonhamiltonian graphs-- counterexamples to Chvatal's conjecture” , 2017 , UAC International Summetr Conference , 2017 /7 /9 ~ 2017 /7 /11 , Japan .
  9. Shin-Shin Kao , “Myths and Strategies for Teaching Calculus in English for Taiwanese Students: A Report Based on Three-Years of Practice (Best Paper Award)” , 2017 , 19th International Conference on Educational Sciences and Teaching Instructions , 2017 /4 /3 ~ 2017 /4 /4 , Australia .
  10. Hsun Su; Hsiu-Chunj Pan; Shin-Shin Kao , “On the 2-fault Hamiltonicity for Graphs Satisfying Ore's Condition” , 2016 , 2016 International Conference on Engineering and Natural Science-Summer Session , 2016 /7 /12 ~ 2016 /7 /14 , Japan .
  11. Shih-Yan Chen; Shin-Shin Kao , “On Dual-cubes-- A Survey (Best Presentation Award)” , 2016 , ICMMASE 2016: 18th International Conference on Mathematical Methods and Applications in Science and Engineering , 2016 /4 /5 ~ 2016 /4 /6 , United States .
  12. Shin-Shin Kao , “On mutually independent hamiltonian cycles” , 2015 , International Congress on Natural Sciences 2015 , 2015 /9 /10 ~ 2015 /9 /12 , 中華民國 台灣 .
  13. Shin-Shin Kao , “On mutually independent hamiltonian cycles” , 2015 , India-Taiwan Conference on Discrete Mathematics , 2015 /7 /10 ~ 2015 /7 /13 , Republic of India .
  14. Shin-Shin Kao , “On Mutually Independent Hamiltonian Cycles” , 2015 , 第八屆海峽兩岸圖論與組合數學研討會 , 2015 /6 /27 ~ 2015 /6 /30 , 中華民國 台灣 .
  15. Shin-Shin Kao; Hsiu-Chunj Pan , “A further study on the 4-ordered property of some chordal ring networks” , 2015 , Intl. Conf. on Mathematics Methods in Science and Engineering 2015 , 2015 /1 /19 ~ 2015 /1 /20 , United Kingdom .
  16. Shin-Shin Kao; Shih-Chin Wey; Hsiu-Chunj Pan , “The 4-ordered property of some chordal ring networks (Best Paper Award of AMCME 2014)” , 2014 , 2014 Intl. Conf. on Applied Mathematics and Computational Methods in Engineering , 2014 /4 /2 ~ 2014 /4 /4 , Czech Republic .
  17. Shih-Yan Chen; Hsun Su; Shin-Shin Kao* , “Characterizing fault-tolerant hamiltonian properties with degree sequences” , 2014 , 第三十一屆組合數學與計算理論研討會 , 2014 /4 /25 ~ 2014 /4 /26 , 中華民國 台灣 .
  18. Shih-Yan Chen; Tung-Yang Ho; Shin-Shin Kao , “On k-fault tolerant hamiltonian graphs with the least edges” , 2013 , 2013 the 3rd India-Taiwan Conference on Discrete Mathematics , 2013 /11 /19 ~ 2013 /11 /22 , 中華民國 台灣 .
  19. Shin-Shin Kao, Hsun Su, Yuan-Kang Shih and Shih-Yan Chen , “On the degree characterization for hamiltonian properties” , 2013 , The 3rd International Congress on Natural Sciences , 2013 /10 /12 ~ 2013 /10 /13 , Japan .
  20. Hsun Su; Yuan-Kang Shih; Shih-Yan Chen; Shin-Shin Kao , “A study on degree chracterization for hamiltonian-connected graphs” , 2013 , 第七屆海峽兩岸圖論與組合數學學術會議 , 2013 /6 /28 ~ 2013 /6 /30 , 大陸地區 .
  21. Yi-Yu Lin; Shih-Yan Chen; Shin-Shin Kao , “The bi-3*-connectivity and strong bi-3*-connectivity of some generalized honeycomb tori (Best Paper Award of CISCO 2013)” , 2013 , International Conf. on Applied, Numerical and Computational Mathematics 2013 (WSEAS) , 2013 /4 /23 ~ 2013 /4 /25 , Japan .
  22. Yuan-Kang Shih; Hsun Su; Shin-Shin Kao , “On the hamiltonian-connectedness for graphs satisfying Ore's Theorem” , 2012 , International Computer Symposium (ICS 2012) , 2012 /12 /12 ~ 2012 /12 /14 , 中華民國 台灣 .
  23. Hsun Su; Shin-Shin Kao , “Constructing MIHCs for Arrangement Graphs A_{n,k} with n-k?3” , 2012 , WorldComp'12: The 2012 Intl' Conf' on Parallel and Distributed Processing Techniques and Applications , 2012 /7 /16 ~ 2012 /7 /19 , United States .
  24. S. Chen; Shin-Shin Kao , “On the unimodality of independence polynomials of very well-covered graphs” , 2011 , 2nd Indo-Taiwan Conference in Discrete Mathematics , 2011 /9 /8 ~ 2011 /9 /11 , Republic of India .
  25. M. Hsieh; H. Su; Shin-Shin Kao; L. Hsu; Y. Shih , “Mutually Independent Hamiltonian Cycles on Cycle Composition Networks” , 2011 , 2011 Intl' Conference on Data Engineering and Internet Technology (DEIT 2011) , 2011 /3 /15 ~ 2011 /3 /17 , Republic of Indonesia .
  26. Shin-Shin Kao; Pi-Hsiang Wang , “Mutually Independent Hamiltonian Cycles in k-ary n-cubes when k is odd (Best Paper Award of 2010)” , 2010 , AMERICAN CONFERENCE ON APPLIED MATHEMATICS , 2010 /1 /27 ~ 2010 /1 /29 , United States .
  27. Kao, Shin-Shin; Tsai, Chia-Jung , “The panpositionable hamiltonicity of k-ary n-cubes” , 2009 , World Conference of Science, Engineering and Technology , 2009 /11 /25 ~ 2009 /11 /27 , Republic of Indonesia .
  28. Shin-Shin Kao , “Mutually Independent Hamiltonian Cycles in Dual-Cubes” , 2009 , The 6th Asian Mathematical Conference (AMC2009) , 2009 /6 /22 ~ 2009 /6 /27 , Malaysia .
  29. Shin-Shin Kao, Hui-Chun Chuang , “Mutually Independent Hamiltonian Cycles in Dual-Cube Extensive Networks” , 2008 , 2008年組合數學第17屆新苗研討會 , 2008 /8 /11 ~ 2008 /8 /12 , 中華民國 台灣 .
  30. Shih-Yan Chen, Shin-Shin Kao , “The Edge-Pancyclicity of Dual-cube Extensive Networks” , 2008 , 2nd WSEAS Int. Conf. on Computer Engineering and Applications(CEA’08) Acapulco , 2008 /1 /25 ~ 2008 /1 /27 , Mexico .
  31. Chen, S. Y., Ho, T. Y., Kao, S. S. , “Circulant Graphs G(n,k) are k-Hamiltonian when k=4” , 2007 , 中華民國九十六年全國計算機會議 , 2007 /12 /20 ~ 2007 /12 /21 .
  32. Shih, Y. K., Kao, S. S., Hsu, L. H. , “Deformed Honeycomb Tori” , 2007 , IeCCS 2007 (International e-Conference on Computer Science) , 2007 /7 /9 ~ 2007 /7 /18 .
  33. Hsu, L. Y., Lin, T. Y., Kao, S. S. , “The Hamiltonian Laceability of Honeycomb Tori” , 2007 , IeCCS 2007 (International e-Conference on Computer Science) , 2007 /7 /9 ~ 2007 /7 /18 .
  34. Kao, S. S. , “Hamiltonian connectivity and globally-3*-connectivity of dual-cube-extensive networks” , 2007 , The 5th International Conference on Nonlinear Analysis and Convex Analysis , 2007 /5 /31 ~ 2007 /6 /4 , 中華民國 台灣 .
  35. Hsu, L. Y., Kao, S. S*. , “Extending Security/Sustainability through Pervasive Spider Web Networks in Urbanism” , 2007 , The 2007 International Conference on Security & Management , 2007 /6 /25 ~ 2007 /6 /28 , United States .
  36. S.S. Kao , “1-Hamiltonican Graphs, Globally 3*-connected Graph and Super 3*-connected Graphs” , 2004 , 2004年國際數學研討會及中華民國數學年會 , 2005 ~ 2005 .
  37. Shin-Shin Kao , “Cubic planar hamiltonian graphs of various types” , 2003 , 2003年國際數學研討會及中華民國數學年會 , 2003 /12 ~ 2003 /12 .
  38. 高欣欣 , “A simple scheme of generating good bipartite graphs” , 2002 , 2002年國際數學研討會及中華民國數學年會 , 2003 ~ 2003 .
  39. 高欣欣, 徐力行 , “蜘蛛網型網路” , 2001 , 中華民國全國計算機會議〝演算法與計算機理論論文集〞 , 2001 ~ 2001 .
  40. 高欣欣 , “Steady Buoyant Droplets with Circulation and Surface Tension” , 1997 , 第五屆微分方程研討會論文集 , 2003 ~ 2003 .
專書
  1. 黃惠民主編, 高欣欣副編 , “與創意有約” , 全華圖書出版公司 , 2005 .
  2. 黃惠民主編, 高欣欣副編 , “創意思解(2003革新版)” , 2003 .
  3. 黃惠民主編, 高欣欣副編 , “創意思解(2000革新版)” , 2000 .
  4. 高欣欣 , “實用的MATLAB-線性代數、數值分析、統計與繪圖” , 五南圖書出版公司 , 1999 , 957-11-1795-1 .
學術及競賽獎項
  1. “Best Presentation Award of 20th ICMNS 2018” , 2018 .
  2. “Best Paper Award of 19th ICEST 2017” , 2017 .
  3. “Best Presentation Award of ICMMASE 2016” , 2016 .
  4. “Best Paper Award of AMCME 2014” , 2014 .
  5. “Best Paper Award of CISCO 2013” , 2013 .
  6. “指導碩士班林政達同學畢業論文~ 榮獲第20屆2011組合數學暨新苗研討會優良論文獎” , 2011 .
  7. “指導碩士班謝美芳同學畢業論文~ 榮獲第19屆2010組合數學暨新苗研討會優良論文獎” , 2010 .
  8. “指導碩士班蔡佳融同學畢業論文~ 榮獲第18屆2009組合數學暨新苗研討會優良論文獎” , 2009 .
技術報告
  1. Shin-Shin Kao , “用鄰邊數序列刻劃具點容錯漢米爾頓性的圖形” , 2019 .
  2. Shin-Shin Kao , “滿足Ore定理的圖形之兩點容錯漢米頓性研究” , 2019 .
  3. Shin-Shin Kao , “有關獨立的漢米爾頓迴圈數” , 2017 .
  4. Shin-Shin Kao , “有關Chvatal對1-堅韌圖之漢米爾頓性的猜想” , 2016 .
  5. Shin-Shin Kao , “滿足Ore定理的圖形之整合性研究” , 2015 .
  6. Shin-Shin Kao , “有關漢米爾頓圖形的乘積圖上覆蓋連通性之充分與必要條件” , 2014 .
  7. Shin-Shin Kao , “滿足不同邊數和條件的圖形之單容錯漢米爾頓性質研究” , 2013 .
  8. Shin-Shin Kao , “非常好覆蓋圖的獨特形之研究” , 2012 .
  9. Shin-Shin Kao , “有關k-ary n-cubes上泛定位, 一對一/一對多的包絡路徑,及獨立漢米爾頓迴圈之研究(2/2)” , 2011 .
  10. Shin- Shin Kao , “有關k-ary n-cubes上泛定位性,一對一/一對多的路徑包絡,及獨立漢米爾頓迴圈之研究(1/2)” , 2010 .
  11. Shin- Shin Kao , “雙邊容錯、雙點容錯及一邊一點容錯的漢米爾頓圖形(2/2)” , 2009 .
  12. Shin- Shin Kao , “雙邊容錯、雙點容錯及一邊一點容錯的漢米爾頓圖形(1/2)” , 2008 .
  13. Shin- Shin Kao , “變形的蜂窩環形曲面” , 2007 .
  14. Shin- Shin Kao , “二部泛圈、泛連通與泛定位圖形之研究” , 2006 .
  15. Shin-Shin Kao , “完全的二部3*-連通圖” , 2005 .
  16. Shin-Shin Kao , “Cubic planar hamiltonian graphs of various types” , 2004 .
  17. S.Kao , “微積分的單元化創意教學” , 2001 .