Sections
Right Column
Image
Image
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/geometryTeaching
 MAED5322 Methodology of Mathematics
 MATH2343 Discrete Structures
 MATH5380 Combinatorics
Selected Publications
Article

The functional form of the dual mixed volume
 Author(s): He, Rigao; Chen, Beifang; Wang, Wei
 Source: Advances in Applied Mathematics, v. 134, March 2022, article number 102305
 Year: 2022

Algorithms Based on Path Contraction Carrying Weights for Enumerating Subtrees of Tricyclic Graphs
 Author(s): Yang, Yu; Chen, Beifang; Zhang, Guoping; Li, Yongming; Sun, Daoqiang; Liu, Hongbo
 Source: The Computer Journal, v. 65, (3), March 2022, p. 554572
 Year: 2022

Conformal Decomposition of Integral Flows on Signed Graphs with OuterEdges
 Author(s): Chen, Beifang
 Source: Graphs and Combinatorics, 17 June 2021
 Year: 2021

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

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, v. 139, November 2019, p. 126
 Year: 2019

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. 139173
 Year: 2018

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. 12711286
 Year: 2017

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. 24572478
 Year: 2017

Dual complementary polynomials of graphs and combinatorialgeometric interpretation on the values of Tutte polynomial at positive integers
 Author(s): Chen, Beifang
 Source: European Journal of Combinatorics, v. 36, February 2014, p. 206230
 Year: 2014

Comparison on the coefficients of characteristic quasipolynomials of integral arrangements
 Author(s): Chen, B.; Wang, S.
 Source: Journal of combinatorial theory. Series A, v. 119, (1), 2012, p. 271281
 Year: 2012

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. 751779
 Year: 2012

The Number of NowhereZero Tensions on Graphs and Signed Graphs
 Author(s): Chen, Beifang; Li, Shuchao
 Source: Ars combinatoria, v. 102, October 2011, p. 4764
 Year: 2011

Torsion formulas for signed graphs
 Author(s): Chen, Beifang; Wang, Jue
 Source: Discrete applied mathematics, v. 158, (11), 2010, JUN 6, p. 11481157
 Year: 2010

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. 425452
 Year: 2010

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. 17081710
 Year: 2009

The GaussBonnet 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. 16011611
 Year: 2009

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. 263279
 Year: 2009

GaussBonnet 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. 159183
 Year: 2008

A Bijection for Eulerianequivalence 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. 519530
 Year: 2008

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, 179191
 Year: 2005

A simplified elementary proof of Hadwiger's volume theorem?
 Author(s): Chen, BF
 Source: Geometriae dedicata, v. 105, (1), 2004, APR, p. 107120
 Year: 2004

The Pick theorem and the proof of the reciprocity law for Dedekind sums
 Author(s): Chen, Beifang
 Source: Annals of Combinatorics, Vol 7, 425439
 Year: 2003

On semiEulerian partially ordered sets with boundary
 Author(s): Chen, BF; Lau, MW
 Source: European journal of combinatorics, v. 24, (8), 2003, NOV, p. 955968
 Year: 2003

Lattice points, Dedekind sums, and Ehrhart polynomials of lattice polyhedra
 Author(s): Chen, BF
 Source: Discrete & Computational Geometry, v. 28, (2), 2002, SEP, p. 175199
 Year: 2002

Generalizations of Knopp's identity
 Author(s): Chen, BF; Sun, ZW
 Source: Journal of number theory, v. 97, (1), 2002, NOV, p. 186198
 Year: 2002

Graph homotopy and Graham homotopy
 Author(s): Chen, BF; Yau, ST; Yeh, YN
 Source: Discrete mathematics, v. 241, (13), 2001, OCT 28, p. 153170
 Year: 2001

Weinberg bounds over nonspherical graphs
 Author(s): Chen, BF; Kwak, JH; Lawrencenko, S.
 Source: Journal of graph theory, v. 33, (4), 2000, APR, p. 220236
 Year: 2000

Counting lattice points of rational polyhedra
 Author(s): Chen, BF; Turaev, V.
 Source: Advances in mathematics, v. 155, (1), 2000, OCT 15, p. 8497
 Year: 2000

On characteristic polynomials of subspace arrangements
 Author(s): Chen, BF
 Source: Journal OF combinatorial THEORY Series A, v. 90, (2), 2000, MAY, p. 347352
 Year: 2000

Domination number and neighbourhood conditions
 Author(s): Chen, B.; Zhou, S.
 Source: Discrete Mathematics, v. 195, (13), 1999, p. 8191
 Year: 1999

Eulerian 2strata spaces
 Author(s): Chen, BF; Yan, M.
 Source: Journal OF combinatorial THEORY Series A, v. 85, (1), 1999, JAN, p. 128
 Year: 1999

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. 90939098
 Year: 1998

Upper bounds for fdomination number of graphs
 Author(s): Chen, BF; Zhou, SM
 Source: Discrete mathematics, v. 185, (13), 1998, APR 15, p. 239243
 Year: 1998

Structural characterization of projective flexibility
 Author(s): Chen, BF; Lawrencenko, S.
 Source: Discrete mathematics, v. 188, (13), 1998, JUN 28, p. 233238
 Year: 1998

Eulerian stratification of polyhedra
 Author(s): Chen, BF; Yan, M.
 Source: Advances in applied mathematics, v. 21, (1), 1998, JUL, p. 2257
 Year: 1998

The geometric cone relations for simplicial and cubical complexes
 Author(s): Chen, BF; Yan, M.
 Source: Discrete mathematics, v. 183, (13), 1998, MAR 15, p. 3946
 Year: 1998

Pansystems optimization, generalized principles of optimality, and fundamental equations of dynamic programming
 Author(s): Chen, BF
 Source: Kybernetes, v. 26, (23), 1997, p. 316333
 Year: 1997

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. 144168
 Year: 1997

Parametric Mobius inversion formulas
 Author(s): Chen, BF
 Source: Discrete mathematics, v. 169, (13), 1997, MAY 15, p. 211215
 Year: 1997

The incidence algebra of polyhedra over the Minkowski algebra
 Author(s): Chen, B.
 Source: Advances in Mathematics, v. 118, (2), 1996, p. 337365
 Year: 1996

Geometric DehnSommerville relations
 Author(s): Chen, BF
 Source: Journal OF combinatorial THEORY Series A, v. 73, (1), 1996, JAN, p. 142151
 Year: 1996

Totally invariant set functions of polynomial type
 Author(s): Chen, Beifang; Rota, G.C.
 Source: Comm. Pure XLVII, 1994, p. 187197
 Year: 1994

The Mixed Volumes And Geissinger Multiplications Of ConvexSets
 Author(s): Chen, Beifang
 Source: Studies In Applied Mathematics, v. 91, (1), 1994, JAN, p. 3950
 Year: 1994

Some Explanations of Dobinski's Formula
 Author(s): Chen, Beifang; Yeh, Yeongnan
 Source: Studies in Applied Mathematics, v. 92, (3), 1994, p. 191199
 Year: 1994

On the Euler characteristics of finite unions of convex sets
 Author(s): Chen, Beifang
 Source: Discrete Comput. Geom., v. 10, 1993, p. 7993
 Year: 1993

The GramSommerville and GaussBonnet theorems and combinatorial geometric measures for noncompact polyhedra
 Author(s): Chen, Beifang
 Source: Adv. Math., v. 91, 1992, p. 269291
 Year: 1992
Conference paper

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

The induced linear maps on Minkowski algebras of convex sets
 Author(s): Chen, BF
 Source: FIRST INTERNATIONAL TAINANMOSCOW ALGEBRA WORKSHOP, 1996, p. 181198
 Year: 1996