mabfchen

CHEN, Beifang
陳北方

(PhD State Univ of New York, Buffalo)

Phone: (852) 2358 7449
Email: mabfchen@ust.hk
Office: Room 3438
Home Page

Professor



Biography

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.

Research Interests

Combinatorics; graph theory; topology/geometry

Teaching

  • MAED5322  Methodology of Mathematics
  • MATH2343  Discrete Structures
  • MATH4991  Capstone Project in Pure Mathematics
  • MATH6914Z  Reading Course: Research Studies on Counting Lattice Points

Selected 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