Publications
Slides from (recent) talks
(full-color slideshows)
- Combinatorial Laplacians
- Southeast Texas Discrete Math & Applications Workshop,
Texas A&M University at Galveston,
October 10, 2009.
- .pdf,
bibliography
- Spanning trees and Laplacians of cubical complexes
- CombinaTexas, University of Houston, April 2009.
- .pdf
- Simplicial spanning trees
- 4th Joint UTEP/NMSU Workshop on Mathematics, Computer
Science, and Computational Sciences, November 2008.
- .pdf
- Simplicial spanning trees
- Discrete Mathematics & Representation Theory Seminar, University of California at Davis, May 2008.
- .pdf
- All talks, back to 2003.
- Cellular spanning trees and Laplacians of cubical complexes
- (w/Caroline (Carly) Klivans, Univ. of Chicago and Jeremy Martin, Univ. of Kansas)
- preprint arXiv:0908.1956v2 [math.CO]
(abstract, link to .pdf)
- Simplicial matrix-tree theorems
- (w/Caroline (Carly) Klivans, Univ. of Chicago and Jeremy Martin, Univ. of Kansas)
- Transactions of the American Mathematical Society 361 (2009), 6073-6114 (electronically published June 15, 2009).
- 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.