Papers and Theses

The list below contains references to my publications, theses, and other papers, along with links to finished or preprint versions.

Publications

  1. Graph classes characterized both by forbidden subgraphs and degree sequences. Joint work with Stephen G. Hartke and Mohit Kumbhat. Journal of Graph Theory, vol. 57 (2008), no. 2, pages 131-148.
  2. Antimagic labeling and canonical decomposition of graphs. Information Processing Letters, vol. 110 (2010), pages 261-263. (preprint)
  3. Degree-associated reconstruction number of graphs. Joint work with Douglas B. West. Discrete Mathematics, vol. 310 (2010), no. 20, pages 2600-2612. (preprint)
  4. Havel-Hakimi residues of unigraphs. Information Processing Letters, vol. 112 (2012), pages 44-48. (preprint)
  5. Length thresholds for graphic lists given fixed largest and smallest entries and bounded gaps. Joint work with Stephen G. Hartke, Kyle F. Jao, and Douglas B. West. Discrete Mathematics, vol. 312 (2012), no. 9, pages 1494-1501. (preprint)
  6. On 2-switches and isomorphism classes. Discrete Mathematics, vol. 312 (2012), no. 15, pages 2217–2222. (preprint)
  7. The A4-structure of a graph. Joint work with Douglas B. West. Journal of Graph Theory, vol. 71 (2012), no. 2, pages 159-175. (preprint)
  8. Hereditary unigraphs and Erdos-Gallai equalities. Discrete Mathematics, vol. 313 (2013), no. 21, pages 2469–2481. (preprint)
  9. On fractional realizations of graph degree sequences. Electronic Journal of Combinatorics, vol. 21 (2014), no. 2, Paper #P2.18.
  10. Non-minimal degree-sequence-forcing triples. Joint work with Stephen G. Hartke and Mohit Kumbhat. Graphs and Combinatorics, vol. 31 (2015), no. 5, pp. 1189-1209. (preprint)
  11. Minimal forbidden sets for degree sequence characterizations. Joint work with Stephen G. Hartke. Discrete Mathematics, vol. 338 (2015), no. 39, pp. 1543-1554. (preprint)
  12. Uniqueness and minimal obstructions for tree-depth. Joint work with John Sinkovic. Discrete Mathematics, vol. 339 (2016), no. 2, pp. 606-613. (preprint)
  13. Graphs with the strong Havel-Hakimi property. Joint work with Grant Molnar. Graphs and Combinatorics, vol. 32 (2016), pp. 1689-1697. (preprint)
  14. On realization graphs of degree sequences. Discrete Mathematics, vol. 339 (2016), no. 8, pp. 2146-2152. (preprint)
  15. Colored saturation parameters for rainbow subgraphs. Joint work with Michael Ferrara, Jennifer Vandenbussche, and Paul S. Wenger. Journal of Graph Theory, vol. 86 (2017), no. 4, pp. 375-386. (preprint)
  16. Neighborhood degree lists of graphs. Joint work with Elizabeth Donovan. Discrete Mathematics, vol. 341 (2018), no. 1, pp. 175-183. (preprint)
  17. Weakly threshold graphs. Discrete Mathematics & Theoretical Computer Science, vol. 20 (2018), no. 1, paper 15.
  18. On 1-uniqueness and dense critical graphs for tree-depth. Joint work with John Sinkovic. Discrete Mathematics, vol. 341 (2018), no. 7, pp. 1973-1982. (preprint)
  19. Adjacency relationships forced by a degree sequence. Graphs and Combinatorics, vol. 34 (2018), no. 6, pp. 1411-1427.
  20. Graphs with few trivial characteristic ideals. Joint work with Carlos A. Alfaro, John Sinkovic, and Ralihe Villagrán. Linear Algebra and Its Applications, vol. 615 (15 April 2021), pp. 155-174. (preprint)
  21. Upward-closed hereditary families in the dominance order. Joint work with Jean Guillaume. Discrete Mathematics & Theoretical Computer Science, vol. 23 (20 January 2022), no. 3. (preprint)
  22. The principal Erdos-Gallai differences of a degree sequence. Discrete Mathematics, vol. 345 (April 2022), no. 4, Article 112755. (preprint)
  23. Cliques in realization graphs. Joint work with Nathan Haronian. Discrete Mathematics, vol. 346 (January 2023), no. 1, Article 113184. (preprint)

Data and Appendices

Preprints

Theses

Last updated September 27, 2022.