Louis DeBiasio

Office: BAC 229
Phone: 513-529-1491
Email: debiasld@miamioh.edu
URL: http://www.users.miamioh.edu/debiasld/


Associate Professor of Mathematics

123 Bachelor Hall
301 S. Patterson Ave.
Oxford, OH 45056


Teaching

mymiami.miamioh.edu



Other

2013-2018 Simons Collaboration Grant

2012 Project NExT fellow

MIGHTY LIV at Miami University -- April 6, 2013



Links

Research

28) New lower bounds on the size-Ramsey number of a path, submitted (with Deepak Bal)

27) Ramsey numbers of path-matchings, covering designs and 1-cores, submitted (with András Gyárfás and Gábor N. Sárközy)

26) Large monochromatic components in 3-edge-colored Steiner triple systems, to appear in Journal of Combinatorial Designs (with Michael Tait)

25) On Hamiltonian cycles in balanced k-partite graphs, submitted (with Nicholas Spanier)

24) Transitive tournament tilings in oriented graphs with large minimum total degree, submitted (with Allan Lo, Theodore Molla, and Andrew Treglown)

23) Upper density of monochromatic infinite paths, Advances in Combinatorics, 2019:4, 16pp. (with Jan Corsten, Ander Lamaison, and Richard Lang)

22) Large monochromatic components in multicolored bipartite graphs, to appear in Journal of Graph Theory (with Robert A. Krueger and Gábor N. Sárközy)

21) Long monochromatic paths and cycles in 2-colored bipartite graphs, submitted (with Robert A. Krueger)

20) Partitioning edge-coloured complete symmetric digraphs into monochromatic complete subgraphs, Discrete Mathematics 341, no. 11 (2018), 3134-3140.(with Carl Bürger, Hannah Guggiari, and Max Pitz)

19) Monochromatic balanced components, matchings, and paths in multicolored complete bipartite graphs, Journal of Combinatorics 11, no. 1 (2020), 35-45. (with András Gyárfás, Robert A. Krueger, Miklós Ruszinkó, and Gábor N. Sárközy).

18) Spanning trees with few branch vertices, SIAM Journal on Discrete Mathematics 33, no. 3 (2019), 1503-1520. (with Allan Lo).

17) Large monochromatic components and long monochromatic cycles in random hypergraphs, European Journal of Combinatorics 76, (2019), 123-137. (with Patrick Bennett, Andrzej Dudek, and Sean English)

16) Hamiltonian cycles in k-partite graphs, to appear in Journal of Graph Theory (with Robert A. Krueger, Dan Pritikin, and Eli Thompson)

15) Density of monochromatic infinite subgraphs, Combinatorica 39, no. 4 (2019), 847-878 (with Paul McKenney)

14) Tiling directed graphs with tournaments, Forum of Mathematics, Sigma (2018), Vol. 6, e2, 53 pages (with Andrzej Czygrinow, Theodore Molla, and Andrew Treglown)

13) Partitioning random graphs into monochromatic components, Electronic Journal of Combinatorics 24, no. 1 (2017), P1.18. (with Deepak Bal)

12) Monochromatic cycle partitions of graphs with large minimum degree, Journal of Combinatorial Theory, Series B 122 (2017), 634-667. (with Luke Nelsen)

11) Arbitrary orientations of Hamilton cycles in digraphs, SIAM Journal on Discrete Mathematics 29, no. 3 (2015), 1553-1584. (with Daniela Kühn, Theodore Molla, Deryk Osthus, and Amelia Taylor)

10) Ore-degree threshold for the square of a Hamiltonian cycle, Discrete Mathematics and Theoretical Computer Science 17, no. 1 (2015), 13-32. (with Safi Faizullah and Imdadullah Khan)

9) Improved degree conditions for 2-factors with k cycles in Hamiltonian graphs, Discrete Mathematics 320 (2014), 51-54. (with Mike Ferrara and Tim Morris)

8) An extension of the Hajnal-Szemerédi theorem to directed graphs, Combinatorics, Probability, and Computing 24, no. 5 (2015), 754-773. (with Andrzej Czygrinow, H.A. Kierstead, and Theodore Molla)

7) Semi-degree threshold for anti-directed Hamiltonian cycles, Electronic Journal of Combinatorics 22, no. 4 (2015), P4.34. (with Theodore Molla)

6) On the co-degree threshold for the Fano plane, European Journal of Combinatorics 36, (2014), 151-158. (with Tao Jiang)

5) Tiling 3-uniform hypergraphs with \(K_4^3-2e\), Journal of Graph Theory 75, no. 2 (2014), 124-136. (with Andrzej Czygrinow and Brendan Nagle)

4) Tiling in bipartite graphs with asymmetric minimum degrees, (with Andrzej Czygrinow)

3) A note on bipartite graph tiling, SIAM Journal on Discrete Mathematics 25, no. 4 (2011), 1477-1489. (with Andrzej Czygrinow)

2) Posa's conjecture for graphs of order at least \(2\times 10^8\), Random Structures and Algorithms 39, no. 4 (2011), 507-525. (with Phong Chau and H.A. Kierstead)

1) 2-Factors of bipartite graphs with asymmetric minimum degrees, SIAM Journal on Discrete Mathematics 24, no. 2 (2010), 486-504. (with Andrzej Czygrinow and H.A. Kierstead)

0) Optimal degree conditions for spanning subgraphs, Ph.D. Thesis, Arizona State University

Math Genealogy link

MathSciNet link


Image © Kelsey Vance