Louis DeBiasio
 Office: BAC 229Phone: 513-529-1491Email: debiasld@miamioh.eduURL: http://www.users.miamioh.edu/debiasld/ Associate Professor of Mathematics 123 Bachelor Hall301 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 23) Upper density of monochromatic infinite paths, submitted (with Jan Corsten, Ander Lamaison, and Richard Lang) 22) Large monochromatic components in multicolored bipartite graphs, submitted (with Robert A. Krueger and Gábor N. Sárközy) 21) Long monochromatic paths and cycles in 2-colored bipartite graphs, submitted (with Robert A. Krueger) Discrete Mathematics (with Carl Bürger, Hannah Guggiari, and Max Pitz) Journal of Combinatorics (with András Gyárfás, Robert A. Krueger, Miklós Ruszinkó, and Gábor N. Sárközy). 18) Spanning trees with few branch vertices, submitted (with Allan Lo). 17) Large monochromatic components and long monochromatic cycles in random hypergraphs, submitted (with Patrick Bennett, Andrzej Dudek, and Sean English) 16) Hamiltonian cycles in 'fair' k-partite graphs, submitted (with Robert A. Krueger, Dan Pritikin, and Eli Thompson) 15) Density of monochromatic infinite subgraphs, to appear in Combinatorica (with Paul McKenney) Forum of Mathematics, Sigma (2018), Vol. 6, e2, 53 pages (with Andrzej Czygrinow, Theo Molla, and Andrew Treglown) Electronic Journal of Combinatorics 24, no. 1 (2017), P1.18. (with Deepak Bal) Journal of Combinatorial Theory, Series B 122 (2017), 634--667. (with Luke Nelsen) SIAM Journal on Discrete Mathematics 29, no. 3 (2015), 1553--1584. (with Daniela Kühn, Theo Molla, Deryk Osthus, and Amelia Taylor) 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 Theo Molla) Electronic Journal of Combinatorics 22, no. 4 (2015), P4.34. (with Theo Molla) European Journal of Combinatorics 36, (2014), 151--158. (with Tao Jiang) 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

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