Publications

Art Duval


Slides from (recent) talks

(full-color slideshows)
Matroids and statistical dependency
Joint Mathematics Meeting, San Diego, January 12, 2018.
.pdf
Bioinformatics-themed projects in Discrete Mathematics
Joint Mathematics Meeting, San Diego, January 10, 2018.
.pdf
Matroids and statistical dependency
AMS Central Sectional Meeting, University of North Texas, September 9, 2017.
.pdf
A non-partitionable Cohen-Macaulay simplicial complex, and implications for Stanley depth
Mathematical Congress of the Americas (Special Session on Combinatorial Commutative Algebra), McGill University, July 28, 2017.
.pdf
A non-partitionable Cohen-Macaulay simplicial complex
Mathematical Congress of the Americas (Special Session on Geometry and Combinatorics of Cell Complexes), McGill University, July 27, 2017.
.pdf
All talks, back to 2003.

A weighted cellular matrix-tree theorem, with applications to complete colorful and cubical complexes
(w/Ghodratollah Aalipour, Univ. of Colorado Denver and Jeremy Martin, Univ. of Kansas)
preprint arXiv:1510.00033 [math.CO] (abstract, link to .pdf)
The partitionability conjecture
(w/Caroline (Carly) Klivans, Brown Univ. and Jeremy Martin, Univ. of Kansas)
Notices of the American Mathematical Society 64 (2017), 117-122.
article in .pdf
A non-partitionable Cohen-Macaulay simplicial complex
(w/Bennet Goeckner, Univ. of Kansas, Caroline (Carly) Klivans, Brown Univ. and Jeremy Martin, Univ. of Kansas)
Advances in Mathematics 299 (2016), 381-395.
ScienceDirect link to abstract and .pdf
Simplicial and cellular trees
(w/Caroline (Carly) Klivans, Brown Univ. and Jeremy Martin, Univ. of Kansas)
in "Recent Trends in Combinatorics", IMA Volumes in Mathematics and its Applications 159 (Springer, 2016), pp. 713-752;
SpringerLink to abstract and article
preprint arXiv:1506.06819 [math.CO] (abstract, link to .pdf)
Cuts and flows of cell complexes
(w/Caroline (Carly) Klivans, Brown Univ. and Jeremy Martin, Univ. of Kansas)
Journal of Algebraic Combinatorics 41 (2015), 969-999.
SpringerLink to online abstract and .pdf
Critical groups of simplicial complexes
(w/Caroline (Carly) Klivans, Brown Univ. and Jeremy Martin, Univ. of Kansas)
Annals of Combinatorics 17 (2013), 53-70.
SpringerLink to abstract and .pdf
Algorithms to determine the edges of a convex hull from its vertices
(w/Francisco J. Lopez, Macon State College)
International Journal Mathematical Modelling and Numerical Optimisation 3 (2012), 184-209.
Inderscience link to .pdf
Cellular spanning trees and Laplacians of cubical complexes
(w/Caroline (Carly) Klivans, Brown Univ. and Jeremy Martin, Univ. of Kansas)
Advances in Appplied Mathematics 46 (2011), 247-274.
ScienceDirect link to pdf.
Simplicial matrix-tree theorems
(w/Caroline (Carly) Klivans, Brown Univ. and Jeremy Martin, Univ. of Kansas)
Transactions of the American Mathematical Society 361 (2009), 6073-6114.
abstract, references, .pdf
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)
Journal of Combinatorial Theory (Series A) 104 (2003), 157-167.
abstract, full-text.
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, SpringerLink to .pdf.
Iterated Homology of Simplicial Complexes
(w/Lauren Rose, Bard College),
Journal of Algebraic Combinatorics 12 (2000), 279-294.
abstract, SpringerLink to .pdf.
Algebraic Shifting Increases Relative Homology,
Discrete Mathematics 225 (2000), 137-148.
abstract, ScienceDirect link to .pdf.
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, ScienceDirect link to .pdf.
On f-vectors and Relative Homology,
Journal of Algebraic Combinatorics 9 (1999), 215-232.
abstract, SpringerLink to .pdf.
Free Resolutions of Simplicial Posets,
Journal of Algebra 188 (1997), 363-399.
abstract, ScienceDirect link to .pdf.
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.),
International Journal of Foundations of Computer Science 7 (1996), 87-93.
abstract, WorldScientific link to .pdf.
Orderpotent f-rings
(w/Piotr Wojciechowski, UTEP),
Algebra Universalis 34 (1995), 510-526.
abstract , SpringerLink to .pdf.
A Combinatorial Decomposition of Simplicial Complexes,
Israel Journal of Mathematics 87 (1994), 77-87.
abstract, SpringerLink to .pdf.
A Directed Graph Version of Strongly Regular Graphs,
Journal of Combinatorial Theory (Series A) 47 (1988), 71-100.
abstract , ScienceDirect link to .pdf.