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CHEN, Beifang
陳北方
(PhD State Univ of New York, Buffalo)
Phone: (852) 2358 7449Email: mabfchen@ust.hk
Office: Room 3438
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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
- MATH4991 Capstone Project in Pure Mathematics
- MATH6914Z Reading Course: Research Studies on Counting Lattice Points
Selected Publications
Article
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Conformal Decomposition of Integral Flows on Signed Graphs with Outer-Edges
- Author(s): Chen, Beifang
- Source: Graphs and Combinatorics, 17 June 2021
- Year: 2021
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Domination number and neighbourhood conditions
- Author(s): Chen, B.; Zhou, S.
- Source: Discrete Mathematics. , v. 195, (1-3), 1999, p. 81-91
- Year: 1999
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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
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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
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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
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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
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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
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Parametric Mobius inversion formulas
- Author(s): Chen, BF
- Source: Discrete mathematics. , v. 169, (1-3), 1997, MAY 15, p. 211-215
- Year: 1997
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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
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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
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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
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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
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Totally invariant set functions of polynomial type
- Author(s): Chen, Beifang; Rota, G.C.
- Source: Comm. Pure XLVII. , 1994, p. 187-197
- Year: 1994
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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
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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
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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
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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
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Ehrhart polynomials of lattice polyhedral functions
- Author(s): Chen, Beifang
- Year: 2005
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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