Research

To find reviews or citations of my work, you may wish to consult my Google Scholar profile or my MathSciNet profile.

Manuscripts Under Review

1. A lower bound on the saturation number, and graphs for which it is sharp [arxiv]
   (with A. Cameron)
   (Submitted)
   
2. Strong coloring 2-regular graphs: Cycle restrictions and partial colorings [arxiv]
   (with J. McDonald)
   (Submitted)
   
3. Upper bounds for inverse domination in graphs [arxiv]
   (with E. Krop and J. McDonald)
   (Submitted)
   
4. Veto Interval Graphs and Variations [arxiv]
   (with B. Flesch, J. Kawana, J. D. Laison, D. Lapides, and S. Partlow)
   (Submitted)
   

Publications

1. Packing and covering directed triangles [arxiv]
   (with J. McDonald and C. Tennenhouse)
   Graphs and Combinatorics, to appear
   
2. Some results on multithreshold graphs [arxiv]
   Graphs and Combinatorics 36 (2020), pp. 913–919
   
3. t-cores for (Δ+t)-edge-colouring [arxiv]
   (with J. McDonald)
   Journal of Graph Theory, to appear
   
4. On the triangle clique cover and K_t clique cover problems [arxiv]
   (with H. Dau and O. Milenkovic)
   Discrete Mathematics 343 (2020)
   
5. Online sum-paintability: Slow-coloring of trees [arxiv]
   (with D. B. West)
   Discrete Applied Mathematics 262 (2019), pp. 158–168
   
6. List-edge-colouring planar graphs with precoloured edges [arxiv]
   (with J. Harrelson and J. McDonald)
   European Journal of Combinatorics 75 (2019), pp. 55–65
   
7. Extension from precoloured sets of edges
   (with K. Edwards, A. Girão, J. van den Heuvel, Ross J. Kang, and J.-S. Sereni)
   Electronic Journal of Combinatorics 25(3) (2018), Paper #P3.1
   
8. Graphs with α₁ and τ₁ both large [arxiv]
   Graphs and Combinatorics 34 (2018), pp. 639–645
   
9. The list chromatic index of simple graphs whose odd cycles intersect in at most one edge [arxiv]
   (with J. McDonald)
   Discrete Mathematics 341 (2018), pp. 713–722
   
10. Paired threshold graphs [arxiv]
    (with V. Ravanmehr, S. Bolouki, and O. Milenkovic)
    Discrete Applied Mathematics 250 (2018), pp. 291–308
    
11. Online paintability: The slow coloring game [arxiv]
    (with T. Mahoney and D. B. West)
    Discrete Mathematics 341 (2018), pp. 1084–1093
    
12. Correlation clustering and biclustering with locally bounded errors [arxiv]
    (with O. Milenkovic)
    IEEE Transactions on Information Theory 64 (2018), pp. 4105–4119
    
13. Codes for DNA Storage Channels [arxiv]
    (with H. M. Kiah and O. Milenkovic)
    Information Theory Workshop (ITW), 2015
    
14. Computing similarity distances between rankings [arxiv]
    (with F. Farnoud, L. Su, and O. Milenkovic)
    Discrete Applied Mathematics 232 (2017), pp. 157–175
    
15. Maximal k-edge-colorable subgraphs, Vizing's Theorem, and Tuza's Conjecture [arxiv]
    Discrete Mathematics 340 (2017), pp. 1573–1580
    
16. On (4,2)-choosable graphs [arxiv]
    (with J. Meng and X. Zhu)
    Journal of Graph Theory 85 (2017), pp. 412–428
    
17. Codes for DNA Sequence Profiles
    (with Han Mao Kiah and Olgica Milenkovic)
    IEEE Trans. Information Theory 62 (2016), pp. 3125–3146
    
18. A new correlation clustering method for cancer mutation analysis
    (with Jack P. Hou, Amin Emad, Jian Ma, and Olgica Milenkovic)
    Bioinformatics 32 (2016), pp. 3717–3728
    
19. Complexity of a disjoint matching problem on bipartite graphs [arxiv]
    Information Processing Letters 116 (2016), pp. 649–652
    
20. Correlation clustering with constrained cluster sizes and extended weights bounds [arxiv]
    (with O. Milenkovic)
    SIAM Journal of Optimization 25 (2015), pp. 1857–1872
    
21. Extremal aspects of the Erdős–Gallai–Tuza Conjecture [arxiv]
    Discrete Mathematics 338 (2015), pp. 1394–1397
    
22. On a conjecture of Erdős, Gallai, and Tuza [arxiv]
    Journal of Graph Theory 80 (2015), pp. 12–17
    
23. Tuza's conjecture for graphs of maximum average degree less than 7 [arxiv]
    European Journal of Combinatorics 49 (2015), pp. 134–152
    
24. Sum-paintability of generalized theta graphs
    (with J. Carraher, T. Mahoney, and D. B. West)
    Graphs and Combinatorics 31 (2015), pp. 1325–1334
    
25. Environmental evolutionary graph theory [arxiv]
    (with W. Maciejewski)
    Journal of Theoretical Biology 360 (2014), pp. 117–128
    
26. Three topics in online list coloring
    (with J. Carraher, S. Loeb, T. Mahoney, M. Tsai, and D. B. West)
    Journal of Combinatorics 5 (2014), pp. 115–130
    
27. Spanning paths in Fibonacci-sum graphs
    (with K. Fox, W. B. Kinnersley, D. McDonald, and N. Orlow)
    Fibonacci Quarterly 52 (2014), pp. 46–49
    
28. Chain-making games in grid-like posets [arxiv]
    (with D. Cranston, W.B. Kinnersley, and D. B. West)
    Journal of Combinatorics 3 (2012), pp. 633–649
    
29. Revolutionaries and spies: Spy-good and spy-bad graphs [arxiv]
    (with J.V. Butterfield, D. Cranston, D. B. West, and R. Zamani)
    Theoretical Computer Science 463 (2012), pp. 35–53