

Louis DeBiasio 
Office: BAC
229 

Assistant Professor of Mathematics 
Teaching
Other 20132018 Simons Collaboration Grant 2012 Project NExT fellow MIGHTY LIV at Miami University  April 6, 2013

Research 11) Arbitrary orientations of Hamilton cycles in digraphs, submitted (with Daniela Kühn, Theo Molla, Deryk Osthus, Amelia Taylor) 10) Oredegree 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 2factors with k cycles in hamiltonian graphs, Discrete Mathematics 320 (2014), 5154. (with Mike Ferrara and Tim Morris) 8) An extension of the HajnalSzemerédi theorem to directed graphs, to appear in Combinatorics, Probability, and Computing (with Andrzej Czygrinow, H.A. Kierstead, and Theo Molla) 7) Semidegree threshold for antidirected Hamiltonian cycles, submitted (with Theo Molla) 6) On the codegree threshold for the Fano plane, European Journal of Combinatorics 36, (2014), 151158. (with Tao Jiang) 5) Tiling 3uniform hypergraphs with \(K_4^32e\), Journal of Graph Theory 75, no. 2 (2014), 124136. (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), 14771489. (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), 507525. (with Phong Chau and H.A. Kierstead) 1) 2Factors of bipartite graphs with asymmetric minimum degrees, SIAM Journal on Discrete Mathematics 24, no. 2 (2010), 486504. (with Andrzej Czygrinow and H.A. Kierstead) 0) Optimal degree conditions for spanning subgraphs, Ph.D. Thesis, Arizona State University

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