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 | 475 | 2008 |
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 | 256 | 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 | 154 | 2013 |
The Colin de Verdiere graph parameter H Van der Holst, L Lovász, A Schrijver Graph Theory and Computational Biology (Balatonlelle, 1996) 7, 29-85, 1999 | 138 | 1999 |
Graphs whose minimal rank is two W Barrett, H Van Der Holst, R Loewy Electronic Journal of Linear Algebra 11, 258-280, 2004 | 120 | 2004 |
Interlace polynomials M Aigner, H Van der Holst Linear Algebra and its Applications 377, 11-30, 2004 | 90 | 2004 |
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 | 69 | 2009 |
Graphs whose positive semi-definite matrices have nullity at most two H van der Holst Linear Algebra and its Applications 375, 1-11, 2003 | 62 | 2003 |
A short proof of the planarity characterization of Colin de Verdiere H Vanderholst Journal of Combinatorial Theory, Series B 65 (2), 269-272, 1995 | 55 | 1995 |
Forbidden minors for the class of graphs G with ξ (G)⩽ 2 L Hogben, H van der Holst Linear Algebra and its Applications 423 (1), 42-52, 2007 | 46 | 2007 |
On the graph complement conjecture for minimum rank F Barioli, W Barrett, SM Fallat, HT Hall, L Hogben, H van der Holst Linear Algebra and its Applications 436 (12), 4373-4391, 2012 | 36 | 2012 |
On a minor-monotone graph invariant H Vanderholst, M Laurent, A Schrijver Journal of Combinatorial Theory, Series B 65 (2), 291-304, 1995 | 34 | 1995 |
On the invariance of Colin de Verdière's graph parameter under clique sums H van der Holst, L Lovász, A Schrijver Linear Algebra and its Applications 226, 509-517, 1995 | 32 | 1995 |
Generating potentially nilpotent full sign patterns IJ Kim, D Olesky, B Shader, P Van Den Driessche, H Van Der Holst, ... The Electronic Journal of Linear Algebra 18, 162-175, 2009 | 29 | 2009 |
Graphs whose minimal rank is two: the finite fields case W Barrett, H Van Der Holst, R Loewy International Linear Algebra Society, 2005 | 29 | 2005 |
Three-connected graphs whose maximum nullity is at most three H van der Holst Linear Algebra and its Applications 429 (2-3), 625-632, 2008 | 26 | 2008 |
Length-bounded disjoint paths in planar graphs H van der Holst, JC de Pina Discrete Applied Mathematics 120 (1-3), 251-261, 2002 | 26 | 2002 |
Sign patterns with minimum rank 2 and upper bounds on minimum ranks Z Li, Y Gao, M Arav, F Gong, W Gao, FJ Hall, H van der Holst Linear and Multilinear Algebra 61 (7), 895-908, 2013 | 24 | 2013 |
On the maximum positive semi-definite nullity and the cycle matroid of graphs H Van der Holst Electronic Journal of Linear Algebra 18, 192-201, 2009 | 23 | 2009 |
The maximum corank of graphs with a 2-separation H van der Holst Linear Algebra and its Applications 428 (7), 1587-1600, 2008 | 23 | 2008 |