List of Publications

 

1.   Categories of acyclic graphs and autimorphisms of free groups,

Ph.D. Thesis, Stanford University (1997)

 

2.   A convolution formula for the Tutte polynomial (coauthors: V. Reiner and D.Stanton),      

Journal of Combinatorial Theory, Series B 76, 297-300 (1999)

 

3.   Combinatorial Laplacians of matroid complexes (coauthors: V. Reiner and D. Stanton),  

Journal of American Mathematical Society 13, No. 1, 129-148 (2000)

 

4.   Recurrence relations for the spectrum polynomial of a matroid,

Discrete Applied Mathematics 143 (2003) 312-317

  

5.   A formula for an evaluation of the Tutte polynomial of a matroid,

      Discrete Mathematics 300 (2005) 235-238

 

6.   On the product of log-concave polynomial,

      Integers: The Electronic Journal of Combinatorial Number Theory 6 (2006), #A40

 

7.   The homology of the cycle matroid of a coned graph,

      European Journal of Combinatorics (2007) 734-741

 

8.   Edge-rooted forests and a-invariant of cone graphs,

      in press for publication in Discrete Mathematics

 

9.   Monotone sequences for complete graphs, in preparation

 

 

Entries in On-Line Encyclopedia of Integer Sequences

 

A057817: Rank of homology groups for cycle matroid complex for Kn (Feb. 2002)

A072962: Mobius coinvariant for complete bipartite graphs (coauthor: L. Thoma) (May 2002)

A083483: Forests with two components for complete graphs (June 2003)

A071720: Spanning trees in the graph Kn \ e (coauthors: N. Eaton and L. Thoma) (Jan. 2004)

A089104: Spanning trees in the graph Kn / e (coauthors: N. Eaton and L. Thoma) (Jan. 2004)

A000918: Edge-rooted forests in a cycle of length n (Sept. 2004)    

A100070: Forests with two components in the complete bipartite graph Kn,n (Nov. 2004)

A109808: Value of Tutte dichromatic polynomial TG(0,1) for G=P2¢¥ Pn (n>1) (Aug. 2005)

A002817:  Coefficient of xn-3 in the shelling polynomial for the cycle matroid of Kn  (Nov. 2006)