Louis DeBiasio

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

Assistant Professor of Mathematics




2013-2018 Simons Collaboration Grant

2012 Project NExT fellow

MIGHTY LIV at Miami University -- April 6, 2013



10) Ore-degree threshold for the square of a Hamiltonian cycle, submitted (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-Szemeredi theorem to directed graphs, submitted (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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Image © Kelsey Vance