Dr. Chen is Professor of Mathematics in HKUST and guest Professor in Nankai University. He was an applied mathematics instructor in Massachusetts Institute of Technology before he joined HKUST in Fall 1993.
 Research Interests 



Combinatorics 


Graph Theory 


Topology/Geometry 

Courses 



Math3343 
 
Combinatorial Analysis 


Math113 
 
Introduction to Linear Algebra 


Math111 
 
Linear Algebra 


Math2343 
 
Discrete Structure 


Math2721 
 
Concepts of Mathematics 


Math4221 
 
Euclidean and NonEuclidean Geometry 


Math300L 
 
Introduction to Graph Theory 


Math5380 
 
Combinatorics 

Poems 




Counting 


To ShingTung Yau 


To GianCarlo Rota 


To ShiingShen Chern 


Vectors in space 


The Victoria harbour 


Gathering 


Swing a little boat 


To Fuji Zhang 


To ChenNing Yang 


HKUST(1) 


HKUST(2) 


On the train home 


Boat and boy 

Mathlink 




AMS 


Combinatorics Net 

Preprints 


Subspace Arrangements and qAnalog of Poincar?/span>
Series, preprint. 

GaussBonnet formula, finiteness condition, and asymptotic characterization for graphs embedded in surfaces
, preprint. 


Publications 

 20062010: 


The flow and tension spaces and lattices of signed graphs.


A bijection for Eulerianequivalence classes of totally cyclic orientations. (with Arthur L.B. Yang and Terence Y.J. Zhang)
, Graphs Combin. 24 (2008), 519530. 

GaussBonnet formula, finiteness condition, and asymptotic characterization for graphs embedded in surfaces. (with Guantao Chen)
, Graphs Combin. 24 (2008), 159183. 
20012005: 



Problems from the Cottonwood Room (with Beck, M; Fukshansky, L.; Haase, C.; Knutson, A.; Reznick, B.; Robins, S. and Schürmann, A.), in: Integer Points in Polyhedra  Geometry, Number Theory, Algebra, Optimization, 179191, Contemp. Math., 374, Amer. Math. Soc., Providence, RI, 2005. 



Ehrhart polynomials of lattice polyhedral functions, in: Integer Points in Polyhedra  Geometry, Number Theory, Algebra, Optimization, 3763, Contemp. Math., 374, Amer. Math. Soc., Providence, RI, 2005. 



A simplified elementary proof of Hadwiger's volume theorem, Geometriae Dedicata, 105(2004), 107120. 



The Pick theorem and the proof of the reciprocity law for Dedekind sums, Annals Combin., 7(2003), 425439. 



On semiEulerian partially ordered sets with boundary (with Lau, M.), European J. Combin., 24(2003), 955968. 



Lattice points, Dedekind sums, and Ehrhart polynomials of lattice polyhedra, Discrete & Computational Geometry, 28(2002), 175199. 



Generalizations of Knopp's identity (with Sun, Z.W.), J. Number Theory, 97(2002), 186198. 



Graph homotopy and Graham homotopy (with Yau, S.T. and Yeh, Y.N.), Discrete Mathematics, 241(2001), 153170. 


19962000: 







Counting lattice points of rational polyhedra (with Turaev, V.), Advances in Mathematics, 155(2000), 8497. 



On characteristic polynomials of subspace arrangements, Journal of Combinatorial Theory Series A, 90(2000), 347352. 



Minkowski Algebra I: A convolution theory of closed convex sets and relatively open convex sets, Asian Journal of Mathematics, 3(1999), 609634. 



A note on cyclic colorations and minimal triangulations (with Lawrencenko, S.), Yokohama math. J., 47(1999), 9399. 



Eulerian 2strata spaces (with Yan, M.), Journal of Combinatorial Theory Series A, 85(1999), 128. 



Domination Number and Neighborhood Conditions (with Zhou, S.M.), Discrete Mathematics, 195(1999), 8191. 



Eulerian Stratification of Polyhedra (with Yan, M.), Advances in Applied Mathematics, 21(1998), 2257. 



Singularity from Eulerian viewpoint (with Yan, M.), Proceedings of Steklov Mathematical Institute, 221(1998), 296311. 



Structural Characterization of Projective Flexibility (with Lawrencenko, S.), Discrete Mathematics, 188(1998), 233238. 



Weight Functions, Double Reciprocity Laws, and Volume Formulas for Lattice Polyhedra, Proceedings of the National Academy of Sciences of the United States of America, 95(1998), 90939098. 



The Geometric Cone Relations for Simplicial and Cubical Complexes (with Yan, M.), Discrete Mathematics, 183(1998), 3946. 



The Upper Bounds for fDomination Numbers of Graphs (with Zhou, S.M.), Discrete Mathematics, 185(1998), 239243. 



Linear Conditions on the Number of Faces of Manifolds with Boundary (with Yan, M.), Advances in Applied Mathematics, 19(1997), 144168. 



Pansystems Optimization, Generalized Principles of Optimality, and Fundamental Equations of Dynamic Programming, Kybernetes, 26(1997), 316333. 



Parametric Möbius Inversion Formulas, Discrete Mathematics, 169(1997), 211215. 



Geometric DehnSommerville Relations, Journal of Combinatorial Theory, Series A, 73(1996), 142151. 



The Incidence Algebra of Polyhedra over the Minkowski Algebra, Advances in Mathematics, 118(1996), 337365. 


19911995: 







The Mixed Volumes and Geissinger Multiplications of Convex Sets, Studies in Applied Mathematics, 91(1994), 3950. 



Totally Invariant Set Functions of Polynomial Type (with Rota, G.C.;), Communications on Pure and Applied Mathematics, 47(1994), 187197. 



Some Explanations of Dobinski's Formula (with Yeh, Y.N.), Studies in Applied Mathematics, 92(1994), 191199. 



The Induced Linear Maps on Minkowski Algebras of Convex Sets, Proceedings of the First International TainanMoscow Workshop (1994), (Fong, Y., Knauer, U. & Mikhalev, A.V., eds.), pp. 181198., Water de Gruyter & Co., Berlin, 1996. 



On the Euler Characteristics of Finite Unions of Convex Sets, Discrete and Computational Geometry, 10(1993), 7993. 



The GramSommerville and GaussBonnet Theorems and Combinatorial Geometric Measures for Noncompact Polyhedra, Advances in Mathematics, 91(1992), 269291. 


19831990: 







Some Pansystem Models of General Equilibrium in Economics (with Wu, X.M.), Kybernetes, 14(1985), 3743. 



Pansystems Clustering Method and Its Application to Classification of Fuzzy things, Fuzzy Mathematics, 3(1984), 5158. 



Pansystems Investigation of εequilibrium under Fuzzy Preferences, Fuzzy Mathematics, 4(1984), 9398. 



Quasitransitivity and Problem of Social Choice (with Wu, S.Z.), Science Exploration, 4(1984), 4752. 



On the Problem of Equilibrium under Quasitransitive Preferences (with Wu, S. Z.), Exploration of Nature, 1(1984), 2936. 



Pansystems Investigations of Quotient Systems and Its Application, Science Exploration, 4(1983), 8188. 



Some Logic Transforming Conservation of Semiequivalence Pansystems Theory, Science Exploration, 3(1983), 8794. 



