Publications in Mathematics

• Hélène Barcelo, Victor Reiner, Dennis Stanton, Bimahonian distributions, J. London Math. Soc., Volume 77, 627-646, 2008. [PDF]

• Hélène Barcelo, Shelly Smith, The Discrete Fundamental Group of the Order Complex of $B_n$, J. of Alg. Comb., Volume 27, Number 4, 399-421, 2008 [PDF]

• Hélène Barcelo, Bruce Sagan, Sheila Sundaram, Counting permutations by congruence class of major index, Advances in Applied Math., Volume 39, 269-281, 2007. [PDF] Copyright Elsevier

• Hélène Barcelo, Reinhard Laubenbacher Graph-Theoretic Tools for Dynamic Network Analysis, Submitted, 7 pp., [PDF]

• Eric Babson, Hélène Barcelo, Mark de Longueville, Reinhard Laubenbacher (2005) Homotopy Theory for Graphs, Journal of Algebraic Combinatorics, Volume 24, No.1, 31-44, 2006. [PDF] Copyright Kluwer Academic Pub.

• Hélène Barcelo, Reinhard Launbenbacher. Perspectives on $A-$Homotopy Theory and its Applications, Discrete Mathematics, 298: 39--61, 2005. [PDF]

• Hélène Barcelo, Robert Maule, Sheila Sundaram. On Counting Permutations by Pairs of Congruence Classes of Major Index, The Electronic Journal of Combinatorics, R21, VoL. 9, 1-10, (2002). [PDF]

• Hélène Barcelo, Xenia Kramer, Reinhard Laubenbacher, Christopher Weaver. Foundations of a Connectivity Theory for Simplicial Complexes, Advances in Applied Math. 26, 97-128, 2001. [PDF], Copyright Academic Press

• Hélène Barcelo, Edwin Ihrig. Lattice of Parabolic Subgroups in Connection with Hyperplane Arrangements. Journal of Algebraic Combinatorics. 9: 5-24, 1999,[PDF], Copyright Kluwer Academic Pub.

• Hélène Barcelo, Arun Ram. Combinatorial Representation Theory. in New Perspective in Algebraic Combinatorics, MSRI Publication. Cambridge press: 23-91, 1999

• Hélène Barcelo, Edwin Ihrig. Modular Elements in the Lattice L(A) when A is a Real Reflection Arrangement. Discrete Mathematics. 193: 61-68, 1998, [PDF], Copyright Discrete Mathematics

• Hélène Barcelo. Hyperplane Arrangements, Women in Mathematics: Scaling the Heights. Mathematical Association of America, Notes. 46: 41-54, 1997

• Hélène Barcelo, Alain Goupil. Nonbroken Circuits of Reflection Groups and their Factorization in D_n. Israel Journal of Mathematics. 91(No. 1-3): 285-306, 1995

• Hélène Barcelo, Alain Goupil. Combinatorial Aspects of the Poincaré Polynomial Associated with a Reflection Group. Contemporary Mathematics Series. 178: 21-44, 1994

• Hélène Barcelo, Sheila Sundaram. On Some Submodules of the Action of the Symmetric Group on the free Lie Algebra. Journal of Algebra. 154(No. 1): 12-26, 1993

• Hélène Barcelo. Young Straightening in a Quotient S_n-module. Journal of Algebraic Combinatorics. 2: 5-23, 1993

• Hélène Barcelo. On the Action of the Symmetric Group on the Free Lie Algebra and on the Partition Lattice. Journal of Combinatorial Theory, Serie A. 55: 93-129, 1990

• Hélène Barcelo, Nantel Bergeron. The Orlik-Solomon Algebra on the Partition Lattice in Relation with the Free lie Algebra. Journal of Combinatorial Theory, Serie A. 55: 80-92, 1990

Interdisciplinary Publications

• Laura D. Hanish, Hélène Barcelo, Carol Lynn Martin, Richard A. Fabes, Jennifer Holmwall, and Francisco Palermo, "Using the Q-Connectivity Method to Study Frequency of Interaction with Multiple Peer Triads: Do Preschoolers'Peer Group Interactions at School Relate to Academic Skills?", In R. W. Larson & L. A. Jensen (Series Eds.) and P. C. Rodkin & L. D. Hanish (Volume Eds.), New directions for child and adolescent development: Social network analysis and children's peer relationships. San Francisco: Jossey-Bass, 21pp., In Press. [DOC]

• Laura D. Hanish, Carol Lynn Martin, Richard A. Fabes, and Hélène Barcelo, "The Breadth of Peer Relationships among Externalizing Preschoolers: An Illustration of the Q-Connectivity Method," Child Development, 41 pp., In Press. [DOC]

• Schmidt, S. K., Griffin, W. A., Hanish, L. D., Martin, C. L., & Fabes, R. A., Barcelo, H. Greenwood, P. PlayMate: New Data, New Rules, and Model Validity. In D. L. Sallach, C. M. Macal, & M. J. North (Eds.), Agent 2004: Social Dynamics: Interaction, Reflexivity and Emergence (2005), 339-351. Chicago: University of Chicago & Argonne National Laboratory. Note: This paper was published without my knowledge nor consent. I cannot endorse the validity of any part of it.

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  H. Barcelo / Department of Mathematics / Arizona State University
  Tempe, Arizona U.S.A. 85287-1804