Department of Mathematics, HKUST  

  CHEN, Beifang   陳北方

  PhD State Univ of New York, Buffalo

Office: Room 3438  

Telephone: 7449  

Email: mabfchen@ust.hk  

URL:
https://www.math.hkust.edu.hk/~mabfchen   
  Professor

Prof. Chen is a 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.

Teaching

  • MATH3343  Combinatorial Analysis

Research Interests

  • Combinatorics; graph theory; topology/geometry

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. Conformal Decomposition of Integral Flows on Signed Graphs with Outer-Edges
    • Author(s): Chen, Beifang
    • Source: Graphs and Combinatorics, 17 June 2021
    • Year: 2021

  2. Parallel translates of represented matroids
    • Author(s): Chen, Beifang; Fu, Houshan; Wang, Suijie
    • Source: Advances in Applied Mathematics, v. 127, June 2021, article number 102176
    • Year: 2021

  3. Quadrangular Embeddings of Complete Graphs and the Even Map Color Theorem
    • Author(s): Liu, Wenzhong; Lawrencenko, Serge; Chen, Beifang ; Ellingham, M.N.; Hartsfield, Nora; Yang, Hui; Ye, Dong; Zha, Xiaoya
    • Source: Journal of Combinatorial Theory. Series B, 2019
    • Year: 2019

  4. Orientations, Lattice Polytopes, and Group Arrangements III: Cartesian Product Arrangements and Applications to Tutte Type Polynomials
    • Author(s): Chen, Beifang
    • Source: European Journal of Combinatorics. , v. 71, June 2018, p. 139-173
    • Year: 2018

  5. Resolution of Indecomposable Integral Flows on Signed Graphs
    • Author(s): Chen, Beifang; Wang, Jue; Zaslavsky, Thomas
    • Source: Discrete Mathematics. , v. 340, (6), June 2017, p. 1271-1286
    • Year: 2017

  6. Conformal Decomposition of Integral Tensions and Potentials of Signed Graphs
    • Author(s): Chen, Beifang
    • Source: SIAM Journal on Discrete Mathematics. , v. 31, (4), 2017, p. 2457-2478
    • Year: 2017

  7. Dual complementary polynomials of graphs and combinatorial-geometric interpretation on the values of Tutte polynomial at positive integers
    • Author(s): Chen, Beifang
    • Source: European Journal of Combinatorics. , v. 36, February 2014, p. 206-230
    • Year: 2014

  8. Comparison on the coefficients of characteristic quasi-polynomials of integral arrangements
    • Author(s): Chen, B.; Wang, S.
    • Source: Journal of combinatorial theory. Series A. , v. 119, (1), 2012, p. 271-281
    • Year: 2012

  9. Orientations, Lattice Polytopes, and Group Arrangements II: Modular and Integral Flow Polynomials of Graphs
    • Author(s): Chen, Beifang; Stanley, Richard P.
    • Source: Graphs and Combinatorics. , v. 28, (6), November 2012, p. 751-779
    • Year: 2012

  10. The Number of Nowhere-Zero Tensions on Graphs and Signed Graphs
    • Author(s): Chen, Beifang; Li, Shuchao
    • Source: Ars combinatoria. , v. 102, October 2011, p. 47-64
    • Year: 2011

  11. Orientations, Lattice Polytopes, and Group Arrangements I: Chromatic and Tension Polynomials of Graphs
    • Author(s): Chen, Beifang
    • Source: Annals of combinatorics. , v. 13, (4), 2010, FEB, p. 425-452
    • Year: 2010

  12. Torsion formulas for signed graphs
    • Author(s): Chen, Beifang; Wang, Jue
    • Source: Discrete applied mathematics. , v. 158, (11), 2010, JUN 6, p. 1148-1157
    • Year: 2010

  13. The flow and tension spaces and lattices of signed graphs
    • Author(s): Chen, Beifang; Wang, Jue
    • Source: European journal of combinatorics. , v. 30, (1), 2009, JAN, p. 263-279
    • Year: 2009

  14. The Gauss-Bonnet Formula of Polytopal Manifolds and the Characterization of Embedded Graphs with Nonnegative Curvature
    • Author(s): Chen, Beifang
    • Source: Proceedings of the American Mathematical Society. , v. 137, (5), 2009, p. 1601-1611
    • Year: 2009

  15. A note on flow polynomials of graphs
    • Author(s): Chen, Beifang; Yang, Arthur L.B.
    • Source: Discrete mathematics. , v. 309, (6), 2009, APR 6, p. 1708-1710
    • Year: 2009

  16. A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
    • Author(s): Chen, Beifang; Yang, Arthur L.B.; Zhang, Terence Y.J.
    • Source: Graphs and Combinatorics. , v. 24, (6), 2008, NOV, p. 519-530
    • Year: 2008

  17. Gauss-Bonnet formula, finiteness condition, and characterizations of graphs embedded in surfaces
    • Author(s): Chen, Beifang; Chen, Guantao
    • Source: Graphs and Combinatorics. , v. 24, (3), 2008, JUN, p. 159-183
    • Year: 2008

  18. Problems from the Cottonwood room
    • Author(s): Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schurmann, Achill
    • Source: Contemporary Mathematics. , 374, 179-191
    • Year: 2005

  19. A simplified elementary proof of Hadwiger's volume theorem?
    • Author(s): Chen, BF
    • Source: Geometriae dedicata. , v. 105, (1), 2004, APR, p. 107-120
    • Year: 2004

  20. On semi-Eulerian partially ordered sets with boundary
    • Author(s): Chen, BF; Lau, MW
    • Source: European journal of combinatorics. , v. 24, (8), 2003, NOV, p. 955-968
    • Year: 2003

  21. The Pick theorem and the proof of the reciprocity law for Dedekind sums
    • Author(s): Chen, Beifang
    • Source: Annals of Combinatorics. , Vol 7, 425-439
    • Year: 2003

  22. Generalizations of Knopp's identity
    • Author(s): Chen, BF; Sun, ZW
    • Source: Journal of number theory. , v. 97, (1), 2002, NOV, p. 186-198
    • Year: 2002

  23. Lattice points, Dedekind sums, and Ehrhart polynomials of lattice polyhedra
    • Author(s): Chen, BF
    • Source: Discrete & Computational Geometry. , v. 28, (2), 2002, SEP, p. 175-199
    • Year: 2002

  24. Graph homotopy and Graham homotopy
    • Author(s): Chen, BF; Yau, ST; Yeh, YN
    • Source: Discrete mathematics. , v. 241, (1-3), 2001, OCT 28, p. 153-170
    • Year: 2001

  25. On characteristic polynomials of subspace arrangements
    • Author(s): Chen, BF
    • Source: Journal OF combinatorial THEORY Series A. , v. 90, (2), 2000, MAY, p. 347-352
    • Year: 2000

  26. Counting lattice points of rational polyhedra
    • Author(s): Chen, BF; Turaev, V.
    • Source: Advances in mathematics. , v. 155, (1), 2000, OCT 15, p. 84-97
    • Year: 2000

  27. Weinberg bounds over nonspherical graphs
    • Author(s): Chen, BF; Kwak, JH; Lawrencenko, S.
    • Source: Journal of graph theory. , v. 33, (4), 2000, APR, p. 220-236
    • Year: 2000

  28. Eulerian 2-strata spaces
    • Author(s): Chen, BF; Yan, M.
    • Source: Journal OF combinatorial THEORY Series A. , v. 85, (1), 1999, JAN, p. 1-28
    • Year: 1999

  29. Domination number and neighbourhood conditions
    • Author(s): Chen, B.; Zhou, S.
    • Source: Discrete Mathematics. , v. 195, (1-3), 1999, p. 81-91
    • Year: 1999

  30. The geometric cone relations for simplicial and cubical complexes
    • Author(s): Chen, BF; Yan, M.
    • Source: Discrete mathematics. , v. 183, (1-3), 1998, MAR 15, p. 39-46
    • Year: 1998

  31. Eulerian stratification of polyhedra
    • Author(s): Chen, BF; Yan, M.
    • Source: Advances in applied mathematics. , v. 21, (1), 1998, JUL, p. 22-57
    • Year: 1998

  32. Structural characterization of projective flexibility
    • Author(s): Chen, BF; Lawrencenko, S.
    • Source: Discrete mathematics. , v. 188, (1-3), 1998, JUN 28, p. 233-238
    • Year: 1998

  33. Upper bounds for f-domination number of graphs
    • Author(s): Chen, BF; Zhou, SM
    • Source: Discrete mathematics. , v. 185, (1-3), 1998, APR 15, p. 239-243
    • Year: 1998

  34. Weight functions, double reciprocity laws, and volume formulas for lattice polyhedra
    • Author(s): Chen, BF
    • Source: Proceedings of the National Academy of Sciences of the United States of America. , v. 95, (16), 1998, AUG 4, p. 9093-9098
    • Year: 1998

  35. Parametric Mobius inversion formulas
    • Author(s): Chen, BF
    • Source: Discrete mathematics. , v. 169, (1-3), 1997, MAY 15, p. 211-215
    • Year: 1997

  36. Linear conditions on the number of faces of manifolds with boundary
    • Author(s): Chen, BF; Yan, M.
    • Source: Advances in applied mathematics. , v. 19, (1), 1997, JUL, p. 144-168
    • Year: 1997

  37. Pansystems optimization, generalized principles of optimality, and fundamental equations of dynamic programming
    • Author(s): Chen, BF
    • Source: Kybernetes. , v. 26, (2-3), 1997, p. 316-333
    • Year: 1997

  38. The incidence algebra of polyhedra over the Minkowski algebra
    • Author(s): Chen, B.
    • Source: Advances in Mathematics. , v. 118, (2), 1996, p. 337-365
    • Year: 1996

  39. Geometric Dehn-Sommerville relations
    • Author(s): Chen, BF
    • Source: Journal OF combinatorial THEORY Series A. , v. 73, (1), 1996, JAN, p. 142-151
    • Year: 1996

  40. Totally invariant set functions of polynomial type
    • Author(s): Chen, Beifang; Rota, G.C.
    • Source: Comm. Pure XLVII. , 1994, p. 187-197
    • Year: 1994

  41. The Mixed Volumes And Geissinger Multiplications Of Convex-Sets
    • Author(s): Chen, Beifang
    • Source: Studies In Applied Mathematics. , v. 91, (1), 1994, JAN, p. 39-50
    • Year: 1994

  42. Some Explanations of Dobinski's Formula
    • Author(s): Chen,¬†Beifang; Yeh,¬†Yeongnan
    • Source: Studies in Applied Mathematics. , v. 92, (3), 1994, p. 191-199
    • Year: 1994

  43. On the Euler characteristics of finite unions of convex sets
    • Author(s): Chen, Beifang
    • Source: Discrete Comput. Geom.. , v. 10, 1993, p. 79-93
    • Year: 1993

  44. The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial geometric measures for noncompact polyhedra
    • Author(s): Chen, Beifang
    • Source: Adv. Math.. , v. 91, 1992, p. 269-291
    • Year: 1992

Conference paper   

  1. Ehrhart polynomials of lattice polyhedral functions
    • Author(s): Chen, Beifang
    • Year: 2005

  2. The induced linear maps on Minkowski algebras of convex sets
    • Author(s): Chen, BF
    • Source: FIRST INTERNATIONAL TAINAN-MOSCOW ALGEBRA WORKSHOP. , 1996, p. 181-198
    • Year: 1996