Beifang CHEN
陈北方
PhD in Mathematics
The State University of New York at Buffalo, 1991

Professor
Department of Mathematics



(852) 2358 7449
mabfchen@ust.hk
Room 3438
Personal Web

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ORCID
0000-0002-5950-476X

Scopus ID
7408608828




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Combinatorics
Graph theory
Geometry
Topology



Publications

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All Years 46 2022 0 2021 2 2020 0 2019 1 2018 1 2017 2 2016 40

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Expand All Collapse All


2021 2

Conformal Decomposition of Integral Flows on Signed Graphs with Outer-Edges
Graphs and Combinatorics, 17 June 2021
Chen, Beifang Article
Parallel translates of represented matroids
Advances in Applied Mathematics, v. 127, June 2021, article number 102176
Chen, Beifang; Fu, Houshan; Wang, Suijie Article

2019 1

Quadrangular Embeddings of Complete Graphs and the Even Map Color Theorem
Journal of Combinatorial Theory. Series B, v. 139, November 2019, p. 1-26
Liu, Wenzhong; Lawrencenko, Serge; Chen, Beifang; Ellingham, M.N.; Hartsfield, Nora; Yang, Hui; Ye, Dong; Zha, Xiaoya Article

2018 1

Orientations, lattice polytopes, and group arrangements III: Cartesian product arrangements and applications to Tutte type polynomials
European Journal of Combinatorics, v. 71, June 2018, p. 139-173
Chen, Beifang Article

2017 2

Conformal Decomposition of Integral Tensions and Potentials of Signed Graphs
SIAM Journal on Discrete Mathematics, v. 31, (4), 2017, p. 2457-2478
Chen, Beifang Article
Resolution of Indecomposable Integral Flows on Signed Graphs
Discrete Mathematics, v. 340, (6), June 2017, p. 1271-1286
Chen, Beifang; Wang, Jue; Zaslavsky, Thomas Article

2014 1

Dual complementary polynomials of graphs and combinatorial-geometric interpretation on the values of Tutte polynomial at positive integers
European Journal of Combinatorics, v. 36, February 2014, p. 206-230
Chen, Beifang Article

2012 2

Comparison on the coefficients of characteristic quasi-polynomials of integral arrangements
Journal of combinatorial theory. Series A, v. 119, (1), 2012, p. 271-281
Chen, B.; Wang, S. Article
Orientations, Lattice Polytopes, and Group Arrangements II: Modular and Integral Flow Polynomials of Graphs
Graphs and Combinatorics, v. 28, (6), November 2012, p. 751-779
Chen, Beifang; Stanley, Richard P. Article

2011 1

The Number of Nowhere-Zero Tensions on Graphs and Signed Graphs
Ars combinatoria, v. 102, October 2011, p. 47-64
Chen, Beifang; Li, Shuchao Article

2010 2

Orientations, Lattice Polytopes, and Group Arrangements I: Chromatic and Tension Polynomials of Graphs
Annals of combinatorics, v. 13, (4), 2010, FEB, p. 425-452
Chen, Beifang Article
Torsion formulas for signed graphs
Discrete applied mathematics, v. 158, (11), 2010, JUN 6, p. 1148-1157
Chen, Beifang; Wang, Jue Article

2009 3

A note on flow polynomials of graphs
Discrete mathematics, v. 309, (6), 2009, APR 6, p. 1708-1710
Chen, Beifang; Yang, Arthur L.B. Article
The flow and tension spaces and lattices of signed graphs
European journal of combinatorics, v. 30, (1), 2009, JAN, p. 263-279
Chen, Beifang; Wang, Jue Article
The Gauss-Bonnet Formula of Polytopal Manifolds and the Characterization of Embedded Graphs with Nonnegative Curvature
Proceedings of the American Mathematical Society, v. 137, (5), 2009, p. 1601-1611
Chen, Beifang Article

2008 2

A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
Graphs and Combinatorics, v. 24, (6), 2008, NOV, p. 519-530
Chen, Beifang; Yang, Arthur L.B.; Zhang, Terence Y.J. Article
Gauss-Bonnet formula, finiteness condition, and characterizations of graphs embedded in surfaces
Graphs and Combinatorics, v. 24, (3), 2008, JUN, p. 159-183
Chen, Beifang; Chen, Guantao Article

2005 2

Problems from the Cottonwood room
Contemporary Mathematics, 374, 179-191
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schurmann, Achill Article
Ehrhart polynomials of lattice polyhedral functions
[Chan, P.C.H.] Dept. of Elec. and Electron. Eng., Hong Kong Univ. of Sci and Technol., Hong Kong, Hong Kong
Chen, Beifang Conference paper

2004 1

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

2003 2

On semi-Eulerian partially ordered sets with boundary
European journal of combinatorics, v. 24, (8), 2003, NOV, p. 955-968
Chen, BF; Lau, MW Article
The Pick theorem and the proof of the reciprocity law for Dedekind sums
Annals of Combinatorics, Vol 7, 425-439
Chen, Beifang Article

2002 2

Generalizations of Knopp's identity
Journal of number theory, v. 97, (1), 2002, NOV, p. 186-198
Chen, BF; Sun, ZW Article
Lattice points, Dedekind sums, and Ehrhart polynomials of lattice polyhedra
Discrete & Computational Geometry, v. 28, (2), 2002, SEP, p. 175-199
Chen, BF Article

2001 1

Graph homotopy and Graham homotopy
Discrete mathematics, v. 241, (1-3), 2001, OCT 28, p. 153-170
Chen, BF; Yau, ST; Yeh, YN Article

2000 3

Counting lattice points of rational polyhedra
Advances in mathematics, v. 155, (1), 2000, OCT 15, p. 84-97
Chen, BF; Turaev, V. Article
On characteristic polynomials of subspace arrangements
Journal OF combinatorial THEORY Series A, v. 90, (2), 2000, MAY, p. 347-352
Chen, BF Article
Weinberg bounds over nonspherical graphs
Journal of graph theory, v. 33, (4), 2000, APR, p. 220-236
Chen, BF; Kwak, JH; Lawrencenko, S. Article

1999 2

Domination number and neighbourhood conditions
Discrete Mathematics, v. 195, (1-3), 1999, p. 81-91
Chen, B.; Zhou, S. Article
Eulerian 2-strata spaces
Journal OF combinatorial THEORY Series A, v. 85, (1), 1999, JAN, p. 1-28
Chen, BF; Yan, M. Article

1998 5

Eulerian stratification of polyhedra
Advances in applied mathematics, v. 21, (1), 1998, JUL, p. 22-57
Chen, BF; Yan, M. Article
Structural characterization of projective flexibility
Discrete mathematics, v. 188, (1-3), 1998, JUN 28, p. 233-238
Chen, BF; Lawrencenko, S. Article
The geometric cone relations for simplicial and cubical complexes
Discrete mathematics, v. 183, (1-3), 1998, MAR 15, p. 39-46
Chen, BF; Yan, M. Article
Upper bounds for f-domination number of graphs
Discrete mathematics, v. 185, (1-3), 1998, APR 15, p. 239-243
Chen, BF; Zhou, SM Article
Weight functions, double reciprocity laws, and volume formulas for lattice polyhedra
Proceedings of the National Academy of Sciences of the United States of America, v. 95, (16), 1998, AUG 4, p. 9093-9098
Chen, BF Article

1997 3

Linear conditions on the number of faces of manifolds with boundary
Advances in applied mathematics, v. 19, (1), 1997, JUL, p. 144-168
Chen, BF; Yan, M. Article
Pansystems optimization, generalized principles of optimality, and fundamental equations of dynamic programming
Kybernetes, v. 26, (2-3), 1997, p. 316-333
Chen, BF Article
Parametric Mobius inversion formulas
Discrete mathematics, v. 169, (1-3), 1997, MAY 15, p. 211-215
Chen, BF Article

1996 3

Geometric Dehn-Sommerville relations
Journal OF combinatorial THEORY Series A, v. 73, (1), 1996, JAN, p. 142-151
Chen, BF Article
The incidence algebra of polyhedra over the Minkowski algebra
Advances in Mathematics, v. 118, (2), 1996, p. 337-365
Chen, B. Article
The induced linear maps on Minkowski algebras of convex sets
FIRST INTERNATIONAL TAINAN-MOSCOW ALGEBRA WORKSHOP, 1996, p. 181-198
Chen, BF Conference paper

1994 3

Some Explanations of Dobinski's Formula
Studies in Applied Mathematics, v. 92, (3), 1994, p. 191-199
Chen,?Beifang; Yeh,?Yeongnan Article
The Mixed Volumes And Geissinger Multiplications Of Convex-Sets
Studies In Applied Mathematics, v. 91, (1), 1994, JAN, p. 39-50
Chen, Beifang Article
Totally invariant set functions of polynomial type
Comm. Pure XLVII, 1994, p. 187-197
Chen, Beifang; Rota, G.C. Article

1993 1

On the Euler characteristics of finite unions of convex sets
Discrete Comput. Geom., v. 10, 1993, p. 79-93
Chen, Beifang Article

1992 1

The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial geometric measures for noncompact polyhedra
Adv. Math., v. 91, 1992, p. 269-291
Chen, Beifang Article


Expand All Collapse All


Article 2

Conformal Decomposition of Integral Flows on Signed Graphs with Outer-Edges
Graphs and Combinatorics, 17 June 2021
Chen, Beifang
Parallel translates of represented matroids
Advances in Applied Mathematics, v. 127, June 2021, article number 102176
Chen, Beifang; Fu, Houshan; Wang, Suijie


Expand All Collapse All


Article 1

Quadrangular Embeddings of Complete Graphs and the Even Map Color Theorem
Journal of Combinatorial Theory. Series B, v. 139, November 2019, p. 1-26
Liu, Wenzhong; Lawrencenko, Serge; Chen, Beifang; Ellingham, M.N.; Hartsfield, Nora; Yang, Hui; Ye, Dong; Zha, Xiaoya


Expand All Collapse All


Article 1

Orientations, lattice polytopes, and group arrangements III: Cartesian product arrangements and applications to Tutte type polynomials
European Journal of Combinatorics, v. 71, June 2018, p. 139-173
Chen, Beifang


Expand All Collapse All


Article 2

Conformal Decomposition of Integral Tensions and Potentials of Signed Graphs
SIAM Journal on Discrete Mathematics, v. 31, (4), 2017, p. 2457-2478
Chen, Beifang
Resolution of Indecomposable Integral Flows on Signed Graphs
Discrete Mathematics, v. 340, (6), June 2017, p. 1271-1286
Chen, Beifang; Wang, Jue; Zaslavsky, Thomas


Expand All Collapse All


Article 1

Dual complementary polynomials of graphs and combinatorial-geometric interpretation on the values of Tutte polynomial at positive integers
European Journal of Combinatorics, v. 36, February 2014, p. 206-230
Chen, Beifang


Expand All Collapse All


Article 2

Comparison on the coefficients of characteristic quasi-polynomials of integral arrangements
Journal of combinatorial theory. Series A, v. 119, (1), 2012, p. 271-281
Chen, B.; Wang, S.
Orientations, Lattice Polytopes, and Group Arrangements II: Modular and Integral Flow Polynomials of Graphs
Graphs and Combinatorics, v. 28, (6), November 2012, p. 751-779
Chen, Beifang; Stanley, Richard P.


Expand All Collapse All


Article 1

The Number of Nowhere-Zero Tensions on Graphs and Signed Graphs
Ars combinatoria, v. 102, October 2011, p. 47-64
Chen, Beifang; Li, Shuchao


Expand All Collapse All


Article 2

Orientations, Lattice Polytopes, and Group Arrangements I: Chromatic and Tension Polynomials of Graphs
Annals of combinatorics, v. 13, (4), 2010, FEB, p. 425-452
Chen, Beifang
Torsion formulas for signed graphs
Discrete applied mathematics, v. 158, (11), 2010, JUN 6, p. 1148-1157
Chen, Beifang; Wang, Jue


Expand All Collapse All


Article 3

A note on flow polynomials of graphs
Discrete mathematics, v. 309, (6), 2009, APR 6, p. 1708-1710
Chen, Beifang; Yang, Arthur L.B.
The flow and tension spaces and lattices of signed graphs
European journal of combinatorics, v. 30, (1), 2009, JAN, p. 263-279
Chen, Beifang; Wang, Jue
The Gauss-Bonnet Formula of Polytopal Manifolds and the Characterization of Embedded Graphs with Nonnegative Curvature
Proceedings of the American Mathematical Society, v. 137, (5), 2009, p. 1601-1611
Chen, Beifang


Expand All Collapse All


Article 2

A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
Graphs and Combinatorics, v. 24, (6), 2008, NOV, p. 519-530
Chen, Beifang; Yang, Arthur L.B.; Zhang, Terence Y.J.
Gauss-Bonnet formula, finiteness condition, and characterizations of graphs embedded in surfaces
Graphs and Combinatorics, v. 24, (3), 2008, JUN, p. 159-183
Chen, Beifang; Chen, Guantao


Expand All Collapse All


Article 1

Problems from the Cottonwood room
Contemporary Mathematics, 374, 179-191
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schurmann, Achill

Conference paper 1

Ehrhart polynomials of lattice polyhedral functions
[Chan, P.C.H.] Dept. of Elec. and Electron. Eng., Hong Kong Univ. of Sci and Technol., Hong Kong, Hong Kong
Chen, Beifang


Expand All Collapse All


Article 1

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


Expand All Collapse All


Article 2

On semi-Eulerian partially ordered sets with boundary
European journal of combinatorics, v. 24, (8), 2003, NOV, p. 955-968
Chen, BF; Lau, MW
The Pick theorem and the proof of the reciprocity law for Dedekind sums
Annals of Combinatorics, Vol 7, 425-439
Chen, Beifang


Expand All Collapse All


Article 2

Generalizations of Knopp's identity
Journal of number theory, v. 97, (1), 2002, NOV, p. 186-198
Chen, BF; Sun, ZW
Lattice points, Dedekind sums, and Ehrhart polynomials of lattice polyhedra
Discrete & Computational Geometry, v. 28, (2), 2002, SEP, p. 175-199
Chen, BF


Expand All Collapse All


Article 1

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


Expand All Collapse All


Article 3

Counting lattice points of rational polyhedra
Advances in mathematics, v. 155, (1), 2000, OCT 15, p. 84-97
Chen, BF; Turaev, V.
On characteristic polynomials of subspace arrangements
Journal OF combinatorial THEORY Series A, v. 90, (2), 2000, MAY, p. 347-352
Chen, BF
Weinberg bounds over nonspherical graphs
Journal of graph theory, v. 33, (4), 2000, APR, p. 220-236
Chen, BF; Kwak, JH; Lawrencenko, S.


Expand All Collapse All


Article 2

Domination number and neighbourhood conditions
Discrete Mathematics, v. 195, (1-3), 1999, p. 81-91
Chen, B.; Zhou, S.
Eulerian 2-strata spaces
Journal OF combinatorial THEORY Series A, v. 85, (1), 1999, JAN, p. 1-28
Chen, BF; Yan, M.


Expand All Collapse All


Article 5

Eulerian stratification of polyhedra
Advances in applied mathematics, v. 21, (1), 1998, JUL, p. 22-57
Chen, BF; Yan, M.
Structural characterization of projective flexibility
Discrete mathematics, v. 188, (1-3), 1998, JUN 28, p. 233-238
Chen, BF; Lawrencenko, S.
The geometric cone relations for simplicial and cubical complexes
Discrete mathematics, v. 183, (1-3), 1998, MAR 15, p. 39-46
Chen, BF; Yan, M.
Upper bounds for f-domination number of graphs
Discrete mathematics, v. 185, (1-3), 1998, APR 15, p. 239-243
Chen, BF; Zhou, SM
Weight functions, double reciprocity laws, and volume formulas for lattice polyhedra
Proceedings of the National Academy of Sciences of the United States of America, v. 95, (16), 1998, AUG 4, p. 9093-9098
Chen, BF


Expand All Collapse All


Article 3

Linear conditions on the number of faces of manifolds with boundary
Advances in applied mathematics, v. 19, (1), 1997, JUL, p. 144-168
Chen, BF; Yan, M.
Pansystems optimization, generalized principles of optimality, and fundamental equations of dynamic programming
Kybernetes, v. 26, (2-3), 1997, p. 316-333
Chen, BF
Parametric Mobius inversion formulas
Discrete mathematics, v. 169, (1-3), 1997, MAY 15, p. 211-215
Chen, BF


Expand All Collapse All


Article 2

Geometric Dehn-Sommerville relations
Journal OF combinatorial THEORY Series A, v. 73, (1), 1996, JAN, p. 142-151
Chen, BF
The incidence algebra of polyhedra over the Minkowski algebra
Advances in Mathematics, v. 118, (2), 1996, p. 337-365
Chen, B.

Conference paper 1

The induced linear maps on Minkowski algebras of convex sets
FIRST INTERNATIONAL TAINAN-MOSCOW ALGEBRA WORKSHOP, 1996, p. 181-198
Chen, BF


Expand All Collapse All


Article 3

Some Explanations of Dobinski's Formula
Studies in Applied Mathematics, v. 92, (3), 1994, p. 191-199
Chen,?Beifang; Yeh,?Yeongnan
The Mixed Volumes And Geissinger Multiplications Of Convex-Sets
Studies In Applied Mathematics, v. 91, (1), 1994, JAN, p. 39-50
Chen, Beifang
Totally invariant set functions of polynomial type
Comm. Pure XLVII, 1994, p. 187-197
Chen, Beifang; Rota, G.C.


Expand All Collapse All


Article 1

On the Euler characteristics of finite unions of convex sets
Discrete Comput. Geom., v. 10, 1993, p. 79-93
Chen, Beifang


Expand All Collapse All


Article 1

The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial geometric measures for noncompact polyhedra
Adv. Math., v. 91, 1992, p. 269-291
Chen, Beifang


Expand All Collapse All


2014 1

Dual complementary polynomials of graphs and combinatorial-geometric interpretation on the values of Tutte polynomial at positive integers
European Journal of Combinatorics, v. 36, February 2014, p. 206-230
Chen, Beifang Article

2012 2

Comparison on the coefficients of characteristic quasi-polynomials of integral arrangements
Journal of combinatorial theory. Series A, v. 119, (1), 2012, p. 271-281
Chen, B.; Wang, S. Article
Orientations, Lattice Polytopes, and Group Arrangements II: Modular and Integral Flow Polynomials of Graphs
Graphs and Combinatorics, v. 28, (6), November 2012, p. 751-779
Chen, Beifang; Stanley, Richard P. Article

2011 1

The Number of Nowhere-Zero Tensions on Graphs and Signed Graphs
Ars combinatoria, v. 102, October 2011, p. 47-64
Chen, Beifang; Li, Shuchao Article

2010 2

Orientations, Lattice Polytopes, and Group Arrangements I: Chromatic and Tension Polynomials of Graphs
Annals of combinatorics, v. 13, (4), 2010, FEB, p. 425-452
Chen, Beifang Article
Torsion formulas for signed graphs
Discrete applied mathematics, v. 158, (11), 2010, JUN 6, p. 1148-1157
Chen, Beifang; Wang, Jue Article

2009 3

A note on flow polynomials of graphs
Discrete mathematics, v. 309, (6), 2009, APR 6, p. 1708-1710
Chen, Beifang; Yang, Arthur L.B. Article
The flow and tension spaces and lattices of signed graphs
European journal of combinatorics, v. 30, (1), 2009, JAN, p. 263-279
Chen, Beifang; Wang, Jue Article
The Gauss-Bonnet Formula of Polytopal Manifolds and the Characterization of Embedded Graphs with Nonnegative Curvature
Proceedings of the American Mathematical Society, v. 137, (5), 2009, p. 1601-1611
Chen, Beifang Article

2008 2

A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
Graphs and Combinatorics, v. 24, (6), 2008, NOV, p. 519-530
Chen, Beifang; Yang, Arthur L.B.; Zhang, Terence Y.J. Article
Gauss-Bonnet formula, finiteness condition, and characterizations of graphs embedded in surfaces
Graphs and Combinatorics, v. 24, (3), 2008, JUN, p. 159-183
Chen, Beifang; Chen, Guantao Article

2005 2

Problems from the Cottonwood room
Contemporary Mathematics, 374, 179-191
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schurmann, Achill Article
Ehrhart polynomials of lattice polyhedral functions
[Chan, P.C.H.] Dept. of Elec. and Electron. Eng., Hong Kong Univ. of Sci and Technol., Hong Kong, Hong Kong
Chen, Beifang Conference paper

2004 1

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

2003 2

On semi-Eulerian partially ordered sets with boundary
European journal of combinatorics, v. 24, (8), 2003, NOV, p. 955-968
Chen, BF; Lau, MW Article
The Pick theorem and the proof of the reciprocity law for Dedekind sums
Annals of Combinatorics, Vol 7, 425-439
Chen, Beifang Article

2002 2

Generalizations of Knopp's identity
Journal of number theory, v. 97, (1), 2002, NOV, p. 186-198
Chen, BF; Sun, ZW Article
Lattice points, Dedekind sums, and Ehrhart polynomials of lattice polyhedra
Discrete & Computational Geometry, v. 28, (2), 2002, SEP, p. 175-199
Chen, BF Article

2001 1

Graph homotopy and Graham homotopy
Discrete mathematics, v. 241, (1-3), 2001, OCT 28, p. 153-170
Chen, BF; Yau, ST; Yeh, YN Article

2000 3

Counting lattice points of rational polyhedra
Advances in mathematics, v. 155, (1), 2000, OCT 15, p. 84-97
Chen, BF; Turaev, V. Article
On characteristic polynomials of subspace arrangements
Journal OF combinatorial THEORY Series A, v. 90, (2), 2000, MAY, p. 347-352
Chen, BF Article
Weinberg bounds over nonspherical graphs
Journal of graph theory, v. 33, (4), 2000, APR, p. 220-236
Chen, BF; Kwak, JH; Lawrencenko, S. Article

1999 2

Domination number and neighbourhood conditions
Discrete Mathematics, v. 195, (1-3), 1999, p. 81-91
Chen, B.; Zhou, S. Article
Eulerian 2-strata spaces
Journal OF combinatorial THEORY Series A, v. 85, (1), 1999, JAN, p. 1-28
Chen, BF; Yan, M. Article

1998 5

Eulerian stratification of polyhedra
Advances in applied mathematics, v. 21, (1), 1998, JUL, p. 22-57
Chen, BF; Yan, M. Article
Structural characterization of projective flexibility
Discrete mathematics, v. 188, (1-3), 1998, JUN 28, p. 233-238
Chen, BF; Lawrencenko, S. Article
The geometric cone relations for simplicial and cubical complexes
Discrete mathematics, v. 183, (1-3), 1998, MAR 15, p. 39-46
Chen, BF; Yan, M. Article
Upper bounds for f-domination number of graphs
Discrete mathematics, v. 185, (1-3), 1998, APR 15, p. 239-243
Chen, BF; Zhou, SM Article
Weight functions, double reciprocity laws, and volume formulas for lattice polyhedra
Proceedings of the National Academy of Sciences of the United States of America, v. 95, (16), 1998, AUG 4, p. 9093-9098
Chen, BF Article

1997 3

Linear conditions on the number of faces of manifolds with boundary
Advances in applied mathematics, v. 19, (1), 1997, JUL, p. 144-168
Chen, BF; Yan, M. Article
Pansystems optimization, generalized principles of optimality, and fundamental equations of dynamic programming
Kybernetes, v. 26, (2-3), 1997, p. 316-333
Chen, BF Article
Parametric Mobius inversion formulas
Discrete mathematics, v. 169, (1-3), 1997, MAY 15, p. 211-215
Chen, BF Article

1996 3

Geometric Dehn-Sommerville relations
Journal OF combinatorial THEORY Series A, v. 73, (1), 1996, JAN, p. 142-151
Chen, BF Article
The incidence algebra of polyhedra over the Minkowski algebra
Advances in Mathematics, v. 118, (2), 1996, p. 337-365
Chen, B. Article
The induced linear maps on Minkowski algebras of convex sets
FIRST INTERNATIONAL TAINAN-MOSCOW ALGEBRA WORKSHOP, 1996, p. 181-198
Chen, BF Conference paper

1994 3

Some Explanations of Dobinski's Formula
Studies in Applied Mathematics, v. 92, (3), 1994, p. 191-199
Chen,?Beifang; Yeh,?Yeongnan Article
The Mixed Volumes And Geissinger Multiplications Of Convex-Sets
Studies In Applied Mathematics, v. 91, (1), 1994, JAN, p. 39-50
Chen, Beifang Article
Totally invariant set functions of polynomial type
Comm. Pure XLVII, 1994, p. 187-197
Chen, Beifang; Rota, G.C. Article

1993 1

On the Euler characteristics of finite unions of convex sets
Discrete Comput. Geom., v. 10, 1993, p. 79-93
Chen, Beifang Article

1992 1

The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial geometric measures for noncompact polyhedra
Adv. Math., v. 91, 1992, p. 269-291
Chen, Beifang Article


No Publications


No Publications






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 1 2020-21 Summer 0 2020-21 Spring 3 2020-21 Winter 0 2020-21 Fall 1

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MATH3343 Combinatorial Analysis


MATH2343 Discrete Structures
MATH4991 Capstone Project in Pure Mathematics
MATH4999 Independent Capstone Project


MATH4821B Introduction to Graph Theory


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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All Supervisions Current RPGs Graduated RPGs

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Current RPGs

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Doctor of Philosophy DUAN, Xiuqing (co-supervision)
Mathematics( 2019 - )

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Graduated RPGs

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Doctor of Philosophy SUN, Zhaoyi
Mathematics( Completed in 2020 )

WU, Fung Leung
Mathematics( Completed in 2019 )









ProjectsFrom January 2020 to December 2022

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All Projects 1

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No Projects.
Combinatorial and arithmetic studies on generalized characteristic polynomials of matroids and group arrangements


拟阵和群配置的广义多项式的组合与算术研究 Leading


RGC - General Research Fund


Project Team (HKUST)
CHEN Beifang (Lead)


2022 -