Louis DeBiasio

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

Assistant Professor of Mathematics

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




2013-2018 Simons Collaboration Grant

2012 Project NExT fellow

MIGHTY LIV at Miami University -- April 6, 2013



12) Monochromatic cycle partitions of graphs with large minimum degree, submitted (with Luke Nelsen)

11) Arbitrary orientations of Hamilton cycles in digraphs, submitted (with Daniela Kühn, Theo Molla, Deryk Osthus, and Amelia Taylor)

10) Ore-degree threshold for the square of a Hamiltonian cycle, to appear in Discrete Mathematics and Theoretical Computer Science (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, to appear in Combinatorics, Probability, and Computing (with Andrzej Czygrinow, H.A. Kierstead, and Theo Molla)

7) Semi-degree threshold for anti-directed Hamiltonian cycles, submitted (with Theo 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, submitted (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

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MathSciNet link

Image © Kelsey Vance