Publications

Art Duval

Slides from (recent) talks

A Simplicial matrix-tree theorem, II. Examples
AMS Regional Meeting, DePaul University, October 2007.
Counting weighted simplicial spanning trees of shifted complexes
AMS Regional Meeting, Davidson College, March 2007.
  • Slides (black & white): .dvi .ps .pdf
    Counting weighted simplicial spanning trees of shifted complexes
    CombinaTexas, Texas A&M University, February 2007.
  • Slides (black & white): .dvi .ps .pdf
    All talks, back to 2003.
    • A Relative Laplacian Spectral Recursion
    Electronic Journal of Combinatorics 11(2) (2006), R26, 19pp.
    abstract, .ps, .pdf,
    A Common Recursion for Laplacians of Matroids and Shifted Simplicial Complexes
    Documenta Mathematica 10 (2005), 583-618.
    abstract, .dvi.gz, .dvi, .ps.gz, .pdf.
    Semidirect Product Constructions of Directed Strongly Regular Graphs
    (w/Dmitri Iourinski, my former M.S. student, now at Northeastern University)
    Journal of Combinatorial Theory (Series A) 104 (2003), 157-167.
    abstract.
    Shifted Simplicial Complexes are Laplacian Integral
    (w/Vic Reiner, Univ. of Minnesota)
    Transactions of the American Mathematical Society 354 (2002), 4313-4344.
    abstract,.tex,.dvi,.ps,.pdf,references
    Algebraic Shifting and Spectral Sequences
    Advanced Studies in Pure Mathematics 33 (2002), Computational Commutative Algebra and Combinatorics, pp. 53-64.
    abstract.
    Iterated Homology and Decompositions of Simplicial Complexes
    (w/Ping Zhang, Western Michigan Univ.)
    Israel Journal of Mathematics 121 (2001), 313-331.
    abstract.
    Iterated Homology of Simplicial Complexes
    (w/Lauren Rose, Bard College),
    Journal of Algebraic Combinatorics 12 (2000), 279-294.
    abstract.
    Algebraic Shifting Increases Relative Homology,
    Discrete Mathematics 225 (2000), 137-148.
    abstract
    Perron-Frobenius Type Results and Discrete Versions of Nodal Domain Theorems
    (w/Vic Reiner, Univ. of Minnesota),
    Linear Algebra and its Applications 294 (1999), 259-268.
    abstract.
    On f-vectors and Relative Homology,
    Journal of Algebraic Combinatorics 9 (1999), 215-232.
    abstract.
    Free Resolutions of Simplicial Posets,
    Journal of Algebra 188 (1997), 363-399.
    abstract.
    Algebraic Shifting and Sequentially Cohen-Macaulay Simplicial Complexes,
    Electronic Journal of Combinatorics 3 (1996), R21, 14pp.
    abstract,.tex,.dvi,.ps,.pdf
    Covering a Circular String with Substrings of Fixed Length
    (w/ Bill Smyth, McMaster Univ. and Curtin Univ.),
    Intern. J. Foundations Comp. Sci. 7 (1996), 87-93.
    abstract.
    Orderpotent f-rings
    (w/Piotr Wojciechowski, UTEP),
    Algebra Universalis 34 (1995), 510-526.
    abstract .
    A Combinatorial Decomposition of Simplicial Complexes,
    Israel Journal of Mathematics 87 (1994), 77-87.
    abstract.
    A Directed Graph Version of Strongly Regular Graphs,
    Journal of Combinatorial Theory (Series A) 47 (1988), 71-100.
    abstract .