Article

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

Orientations, Lattice Polytopes, and Group Arrangements III: Cartesian Product Arrangements and Applications to Tutte Type Polynomials

Source: European Journal of Combinatorics. , v. 71, June 2018, p. 139173

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

Conformal Decomposition of Integral Tensions and Potentials of Signed Graphs

Source: SIAM Journal on Discrete Mathematics. , v. 31, (4), 2017, p. 24572478

Dual complementary polynomials of graphs and combinatorialgeometric interpretation on the values of Tutte polynomial at positive integers

Source: European Journal of Combinatorics. , v. 36, February 2014, p. 206230

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

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

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

Orientations, Lattice Polytopes, and Group Arrangements I: Chromatic and Tension Polynomials of Graphs

Source: Annals of combinatorics. , v. 13, (4), 2010, FEB, p. 425452

Torsion formulas for signed graphs

Author(s): Chen, Beifang; Wang, Jue

Source: Discrete applied mathematics. , v. 158, (11), 2010, JUN 6, p. 11481157

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

The GaussBonnet Formula of Polytopal Manifolds and the Characterization of Embedded Graphs with Nonnegative Curvature

Source: Proceedings of the American Mathematical Society. , v. 137, (5), 2009, p. 16011611

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

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

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

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

A simplified elementary proof of Hadwiger's volume theorem?

Source: Geometriae dedicata. , v. 105, (1), 2004, APR, p. 107120

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

The Pick theorem and the proof of the reciprocity law for Dedekind sums

Source: Annals of Combinatorics. , Vol 7, 425439

Generalizations of Knopp's identity

Author(s): Chen, BF; Sun, ZW

Source: Journal of number theory. , v. 97, (1), 2002, NOV, p. 186198

Lattice points, Dedekind sums, and Ehrhart polynomials of lattice polyhedra

Source: Discrete & Computational Geometry. , v. 28, (2), 2002, SEP, p. 175199

Graph homotopy and Graham homotopy

Author(s): Chen, BF; Yau, ST; Yeh, YN

Source: Discrete mathematics. , v. 241, (13), 2001, OCT 28, p. 153170

On characteristic polynomials of subspace arrangements

Source: Journal OF combinatorial THEORY Series A. , v. 90, (2), 2000, MAY, p. 347352

Counting lattice points of rational polyhedra

Author(s): Chen, BF; Turaev, V.

Source: Advances in mathematics. , v. 155, (1), 2000, OCT 15, p. 8497

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

Eulerian 2strata spaces

Author(s): Chen, BF; Yan, M.

Source: Journal OF combinatorial THEORY Series A. , v. 85, (1), 1999, JAN, p. 128

Domination number and neighbourhood conditions

Author(s): Chen, B.; Zhou, S.

Source: Discrete Mathematics. , v. 195, (13), 1999, p. 8191

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

Eulerian stratification of polyhedra

Author(s): Chen, BF; Yan, M.

Source: Advances in applied mathematics. , v. 21, (1), 1998, JUL, p. 2257

Structural characterization of projective flexibility

Author(s): Chen, BF; Lawrencenko, S.

Source: Discrete mathematics. , v. 188, (13), 1998, JUN 28, p. 233238

Upper bounds for fdomination number of graphs

Author(s): Chen, BF; Zhou, SM

Source: Discrete mathematics. , v. 185, (13), 1998, APR 15, p. 239243

Weight functions, double reciprocity laws, and volume formulas for lattice polyhedra

Source: Proceedings of the National Academy of Sciences of the United States of America. , v. 95, (16), 1998, AUG 4, p. 90939098

Parametric Mobius inversion formulas

Source: Discrete mathematics. , v. 169, (13), 1997, MAY 15, p. 211215

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

Pansystems optimization, generalized principles of optimality, and fundamental equations of dynamic programming

Source: Kybernetes. , v. 26, (23), 1997, p. 316333

The incidence algebra of polyhedra over the Minkowski algebra

Source: Advances in Mathematics. , v. 118, (2), 1996, p. 337365

Geometric DehnSommerville relations

Source: Journal OF combinatorial THEORY Series A. , v. 73, (1), 1996, JAN, p. 142151

Totally invariant set functions of polynomial type

Author(s): Chen, Beifang; Rota, G.C.

Source: Comm. Pure XLVII. , 1994, p. 187197

The Mixed Volumes And Geissinger Multiplications Of ConvexSets

Source: Studies In Applied Mathematics. , v. 91, (1), 1994, JAN, p. 3950

Some Explanations of Dobinski's Formula

Author(s): Chen, Beifang; Yeh, Yeongnan

Source: Studies in Applied Mathematics. , v. 92, (3), 1994, p. 191199

On the Euler characteristics of finite unions of convex sets

Source: Discrete Comput. Geom.. , v. 10, 1993, p. 7993

The GramSommerville and GaussBonnet theorems and combinatorial geometric measures for noncompact polyhedra

Source: Adv. Math.. , v. 91, 1992, p. 269291
Conference paper

Ehrhart polynomials of lattice polyhedral functions

The induced linear maps on Minkowski algebras of convex sets

Source: FIRST INTERNATIONAL TAINANMOSCOW ALGEBRA WORKSHOP. , 1996, p. 181198

