| Zero forcing sets and the minimum rank of graphs AIM Minimum Rank–Special Graphs Work Group Linear algebra and its applications 428 (7), 1628-1648, 2008 | 435 | 2008 |
| Totally nonnegative matrices SM Fallat Princeton university press, 2011 | 334 | 2011 |
| The minimum rank of symmetric matrices described by a graph: A survey SM Fallat, L Hogben Linear Algebra and its Applications 426 (2-3), 558-582, 2007 | 285 | 2007 |
| Zero forcing parameters and minimum rank problems F Barioli, W Barrett, SM Fallat, HT Hall, L Hogben, B Shader, ... Linear Algebra and its Applications 433 (2), 401-411, 2010 | 236 | 2010 |
| On the normalized Laplacian energy and general Randić index R-1 of graphs M Cavers, S Fallat, S Kirkland Linear Algebra and its Applications 433 (1), 172-190, 2010 | 200 | 2010 |
| Parameters Related to Tree‐Width, Zero Forcing, and Maximum Nullity of a Graph F Barioli, W Barrett, SM Fallat, HT Hall, L Hogben, B Shader, ... Journal of Graph Theory 72 (2), 146-177, 2013 | 142 | 2013 |
| Extremizing algebraic connectivity subject to graph theoretic constraints S Fallat, S Kirkland The Electronic Journal of Linear Algebra 3, 48-74, 1998 | 135 | 1998 |
| Computation of minimal rank and path cover number for certain graphs F Barioli, S Fallat, L Hogben Linear Algebra and its Applications 392, 289-303, 2004 | 120 | 2004 |
| Bidiagonal factorizations of totally nonnegative matrices SM Fallat The American Mathematical Monthly 108 (8), 697-712, 2001 | 97 | 2001 |
| Skew-adjacency matrices of graphs M Cavers, SM Cioabă, S Fallat, DA Gregory, WH Haemers, SJ Kirkland, ... Linear algebra and its applications 436 (12), 4512-4529, 2012 | 92 | 2012 |
| Total positivity in Markov structures S Fallat, S Lauritzen, K Sadeghi, C Uhler, N Wermuth, P Zwiernik The Annals of Statistics, 1152-1184, 2017 | 78 | 2017 |
| Sub-direct sums and positivity classes of matrices SM Fallat, CR Johnson Linear Algebra and its Applications 288, 149-173, 1999 | 76 | 1999 |
| Minimum rank, maximum nullity, and zero forcing number of graphs S Fallat, L Hogben | 72 | 2014 |
| Perron components and algebraic connectivity for weighted graphs S Kirkland, S Fallat Linear and multilinear algebra 44 (2), 131-148, 1998 | 71 | 1998 |
| On the minimum rank of not necessarily symmetric matrices: a preliminary study F Barioli, SM Fallat, HT Hall, D Hershkowitz, L Hogben, H Van der Holst, ... Electronic Journal of Linear Algebra 18, 126-145, 2009 | 65 | 2009 |
| Bipartiteness and the least eigenvalue of signless Laplacian of graphs S Fallat, YZ Fan Linear algebra and its applications 436 (9), 3254-3267, 2012 | 58 | 2012 |
| On two conjectures regarding an inverse eigenvalue problem for acyclic symmetric matrices F Barioli, S Fallat The Electronic Journal of Linear Algebra 11, 41-50, 2004 | 58 | 2004 |
| A variant on the graph parameters of Colin de Verdiere: Implications to the minimum rank of graphs F Barioli, S Fallat, L Hogben | 55 | 2005 |
| Generalizations of the Strong Arnold Property and the minimum number of distinct eigenvalues of a graph W Barrett, S Fallat, HT Hall, L Hogben, JCH Lin, BL Shader arXiv preprint arXiv:1511.06705, 2015 | 54 | 2015 |
| Minimizing algebraic connectivity over connected graphs with fixed girth SM Fallat, S Kirkland, S Pati Discrete Mathematics 254 (1-3), 115-142, 2002 | 53 | 2002 |
