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van der Holst, Hein

Author ID: van-der-holst.hein Recent zbMATH articles by "van der Holst, Hein"
Published as: van der Holst, Hein; Van Der Holst, Hein; van der Holst, H.
Further Spellings: van der Holst, Heindricus; van der Holst, Hendricus
Homepage: https://cas.gsu.edu/profile/hein-van-der-holst/
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 708 times in 393 Documents Cited by Year
Zero forcing sets and the minimum rank of graphs. Zbl 1135.05035
Barioli, Francesco; Barrett, Wayne; Butler, Steve; Ciobă, Sebastian M.; Cvetković, Dragos; Fallat, Shaun M.; Godsil, Chris; Haemers, Willem; Hogben, Leslie; Mikkelson, Rana; Narayan, Sivaram; Pryporova, Olga; Sciriha, Irene; So, Wasin; Stevanović, Dragan; van der Holst, Hein; Vander Meulen, Kevin; Wehe, Amy Wangsness
189
2008
Zero forcing parameters and minimum rank problems. Zbl 1209.05139
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; van den Driessche, P.; van der Holst, Hein
96
2010
Parameters related to tree-width, zero forcing, and maximum nullity of a graph. Zbl 1259.05112
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; Den Driessche, P. Van; Van Der Holst, Hein
66
2013
Graphs whose minimal rank is two. Zbl 1070.05059
Barrett, Wayne; van der Holst, Hein; Loewy, Raphael
45
2004
The Colin de Verdière graph parameter. Zbl 0930.05065
van der Holst, Hein; Lovász, L.; Schrijver, A.
40
1999
Interlace polynomials. Zbl 1030.05071
Aigner, Martin; van der Holst, Hein
23
2004
On the minimum rank of not necessarily symmetric matrices: a preliminary study. Zbl 1169.05345
Barioli, Francesco; Fallat, Shaun M.; Hall, H. Tracy; Hershkowitz, Daniel; Hogben, Leslie; Van Der Holst, Hein; Shader, Bryan
22
2009
Graphs whose positive semi-definite matrices have nullity at most two. Zbl 1029.05099
van der Holst, Hein
21
2003
Forbidden minors for the class of graphs \(G\) with \(\xi (G) \leqslant 2\). Zbl 1118.05064
Hogben, Leslie; van der Holst, Hein
17
2007
Generating potentially nilpotent full sign patterns. Zbl 1181.15039
Kim, In-Jae; Olesky, Dale D.; Shader, Bryan L.; Van Den Driessche, Pauline; Van Der Holst, Hein; Vander Meulen, Kevin N.
16
2009
On the graph complement conjecture for minimum rank. Zbl 1241.05064
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van der Holst, Hein
15
2012
Three-connected graphs whose maximum nullity is at most three. Zbl 1145.05037
van der Holst, Hein
14
2008
A short proof of the planarity characterization of Colin de Verdière. Zbl 0841.05025
van der Holst, Hein
14
1995
Sign patterns with minimum rank 2 and upper bounds on minimum ranks. Zbl 1278.15033
Li, Zhongshan; Gao, Yubin; Arav, Marina; Gong, Fei; Gao, Wei; Hall, Frank J.; van der Holst, Hein
12
2013
Graphs whose minimal rank is two: the finite fields case. Zbl 1102.05037
Barrett, Wayne; van der Holst, Hein; Loewy, Raphael
10
2005
The inertia set of a signed graph. Zbl 1282.05058
Arav, Marina; Hall, Frank J.; Li, Zhongshan; van der Holst, Hein
10
2013
The maximum corank of graphs with a 2-separation. Zbl 1135.05040
van der Holst, Hein
9
2008
On a minor-monotone graph invariant. Zbl 0839.05034
van der Holst, Hein; Laurent, Monique; Schrijver, Alexander
9
1995
On the maximum positive semi-definite nullity and the cycle matroid of graphs. Zbl 1173.05031
Van Der Holst, Hein
9
2009
On the invariance of Colin de Verdière’s graph parameter under clique sums. Zbl 0834.05036
van der Holst, Hein; Lovász, László; Schrijver, Alexander
8
1995
Graphs with magnetic Schrödinger operators of low corank. Zbl 1024.05060
van der Holst, Hein
8
2002
The minimum semidefinite rank of the complement of partial \(k\)-trees. Zbl 1213.05173
Sinkovic, John; van der Holst, Hein
7
2011
Minimum ranks of sign patterns via sign vectors and duality. Zbl 1326.15045
Arav, Marina; Hall, Frank; Li, Zhongshan; van der Holst, Hein; Sinkovic, John Henry; Zhang, Lihua
7
2015
Length-bounded disjoint paths in planar graphs. Zbl 1019.05039
van der Holst, H.; de Pina, J. C.
7
2002
The inertia set of the join of graphs. Zbl 1227.05178
Barrett, Wayne; Hall, H. Tracy; van der Holst, Hein
5
2011
Two tree-width-like graph invariants. Zbl 1056.05130
van der Holst, Hein
5
2003
Graphs and obstructions in four dimensions. Zbl 1088.05067
van der Holst, Hein
4
2006
A polynomial-time algorithm to find a linkless embedding of a graph. Zbl 1179.05110
van der Holst, Hein
4
2009
On the “largeur d’arborescence”. Zbl 0996.05034
van der Holst, Hein
4
2002
Some connectivity properties for excluded minors of the graph invariant \(\nu(G)\). Zbl 1026.05080
van der Holst, Hein
2
2003
Algebraic characterizations of outerplanar and planar graphs. Zbl 1127.05029
van der Holst, Hein
2
2007
On the inertia set of a signed graph with loops. Zbl 1307.05091
Arav, Marina; van der Holst, Hein; Sinkovic, John
2
2015
Two-connected signed graphs with maximum nullity at most two. Zbl 1461.05102
Arav, Marina; Hall, Frank J.; Li, Zhongshan; van der Holst, Hein
2
2021
On the strong Arnol’d hypothesis and the connectivity of graphs. Zbl 1205.05153
Van Der Holst, Hein
1
2010
On the inertia set of a signed tree with loops. Zbl 1352.05081
Arav, Marina; van der Holst, Hein; Sinkovic, John
1
2016
Sparsity of graphs that allow two distinct eigenvalues. Zbl 1518.05111
Barrett, Wayne; Fallat, Shaun; Furst, Veronika; Kenter, Franklin; Nasserasr, Shahla; Rooney, Brendan; Tait, Michael; van der Holst, Hein
1
2023
Signed graphs with stable maximum nullity at most two. Zbl 1462.05162
Arav, Marina; Dahlgren, F. Scott; van der Holst, Hein
1
2021
Sparsity of graphs that allow two distinct eigenvalues. Zbl 1518.05111
Barrett, Wayne; Fallat, Shaun; Furst, Veronika; Kenter, Franklin; Nasserasr, Shahla; Rooney, Brendan; Tait, Michael; van der Holst, Hein
1
2023
Two-connected signed graphs with maximum nullity at most two. Zbl 1461.05102
Arav, Marina; Hall, Frank J.; Li, Zhongshan; van der Holst, Hein
2
2021
Signed graphs with stable maximum nullity at most two. Zbl 1462.05162
Arav, Marina; Dahlgren, F. Scott; van der Holst, Hein
1
2021
On the inertia set of a signed tree with loops. Zbl 1352.05081
Arav, Marina; van der Holst, Hein; Sinkovic, John
1
2016
Minimum ranks of sign patterns via sign vectors and duality. Zbl 1326.15045
Arav, Marina; Hall, Frank; Li, Zhongshan; van der Holst, Hein; Sinkovic, John Henry; Zhang, Lihua
7
2015
On the inertia set of a signed graph with loops. Zbl 1307.05091
Arav, Marina; van der Holst, Hein; Sinkovic, John
2
2015
Parameters related to tree-width, zero forcing, and maximum nullity of a graph. Zbl 1259.05112
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; Den Driessche, P. Van; Van Der Holst, Hein
66
2013
Sign patterns with minimum rank 2 and upper bounds on minimum ranks. Zbl 1278.15033
Li, Zhongshan; Gao, Yubin; Arav, Marina; Gong, Fei; Gao, Wei; Hall, Frank J.; van der Holst, Hein
12
2013
The inertia set of a signed graph. Zbl 1282.05058
Arav, Marina; Hall, Frank J.; Li, Zhongshan; van der Holst, Hein
10
2013
On the graph complement conjecture for minimum rank. Zbl 1241.05064
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van der Holst, Hein
15
2012
The minimum semidefinite rank of the complement of partial \(k\)-trees. Zbl 1213.05173
Sinkovic, John; van der Holst, Hein
7
2011
The inertia set of the join of graphs. Zbl 1227.05178
Barrett, Wayne; Hall, H. Tracy; van der Holst, Hein
5
2011
Zero forcing parameters and minimum rank problems. Zbl 1209.05139
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; van den Driessche, P.; van der Holst, Hein
96
2010
On the strong Arnol’d hypothesis and the connectivity of graphs. Zbl 1205.05153
Van Der Holst, Hein
1
2010
On the minimum rank of not necessarily symmetric matrices: a preliminary study. Zbl 1169.05345
Barioli, Francesco; Fallat, Shaun M.; Hall, H. Tracy; Hershkowitz, Daniel; Hogben, Leslie; Van Der Holst, Hein; Shader, Bryan
22
2009
Generating potentially nilpotent full sign patterns. Zbl 1181.15039
Kim, In-Jae; Olesky, Dale D.; Shader, Bryan L.; Van Den Driessche, Pauline; Van Der Holst, Hein; Vander Meulen, Kevin N.
16
2009
On the maximum positive semi-definite nullity and the cycle matroid of graphs. Zbl 1173.05031
Van Der Holst, Hein
9
2009
A polynomial-time algorithm to find a linkless embedding of a graph. Zbl 1179.05110
van der Holst, Hein
4
2009
Zero forcing sets and the minimum rank of graphs. Zbl 1135.05035
Barioli, Francesco; Barrett, Wayne; Butler, Steve; Ciobă, Sebastian M.; Cvetković, Dragos; Fallat, Shaun M.; Godsil, Chris; Haemers, Willem; Hogben, Leslie; Mikkelson, Rana; Narayan, Sivaram; Pryporova, Olga; Sciriha, Irene; So, Wasin; Stevanović, Dragan; van der Holst, Hein; Vander Meulen, Kevin; Wehe, Amy Wangsness
189
2008
Three-connected graphs whose maximum nullity is at most three. Zbl 1145.05037
van der Holst, Hein
14
2008
The maximum corank of graphs with a 2-separation. Zbl 1135.05040
van der Holst, Hein
9
2008
Forbidden minors for the class of graphs \(G\) with \(\xi (G) \leqslant 2\). Zbl 1118.05064
Hogben, Leslie; van der Holst, Hein
17
2007
Algebraic characterizations of outerplanar and planar graphs. Zbl 1127.05029
van der Holst, Hein
2
2007
Graphs and obstructions in four dimensions. Zbl 1088.05067
van der Holst, Hein
4
2006
Graphs whose minimal rank is two: the finite fields case. Zbl 1102.05037
Barrett, Wayne; van der Holst, Hein; Loewy, Raphael
10
2005
Graphs whose minimal rank is two. Zbl 1070.05059
Barrett, Wayne; van der Holst, Hein; Loewy, Raphael
45
2004
Interlace polynomials. Zbl 1030.05071
Aigner, Martin; van der Holst, Hein
23
2004
Graphs whose positive semi-definite matrices have nullity at most two. Zbl 1029.05099
van der Holst, Hein
21
2003
Two tree-width-like graph invariants. Zbl 1056.05130
van der Holst, Hein
5
2003
Some connectivity properties for excluded minors of the graph invariant \(\nu(G)\). Zbl 1026.05080
van der Holst, Hein
2
2003
Graphs with magnetic Schrödinger operators of low corank. Zbl 1024.05060
van der Holst, Hein
8
2002
Length-bounded disjoint paths in planar graphs. Zbl 1019.05039
van der Holst, H.; de Pina, J. C.
7
2002
On the “largeur d’arborescence”. Zbl 0996.05034
van der Holst, Hein
4
2002
The Colin de Verdière graph parameter. Zbl 0930.05065
van der Holst, Hein; Lovász, L.; Schrijver, A.
40
1999
A short proof of the planarity characterization of Colin de Verdière. Zbl 0841.05025
van der Holst, Hein
14
1995
On a minor-monotone graph invariant. Zbl 0839.05034
van der Holst, Hein; Laurent, Monique; Schrijver, Alexander
9
1995
On the invariance of Colin de Verdière’s graph parameter under clique sums. Zbl 0834.05036
van der Holst, Hein; Lovász, László; Schrijver, Alexander
8
1995
all top 5

Cited by 602 Authors

43 Hogben, Leslie
25 van der Holst, Hein
24 Fallat, Shaun M.
18 Lin, Jephian Chin-Hung
16 Mitchell, Lon Howard
15 Hall, H. Tracy
12 Barrett, Wayne W.
12 Davila, Randy Ryan
12 Narayan, Sivaram K.
12 Shader, Bryan L.
12 van den Driessche, Pauline
12 Yang, Boting
11 Li, Zhongshan
10 Arav, Marina
10 Brimkov, Boris
10 Ferrero, Daniela
10 Henning, Michael Anthony
10 Meagher, Karen
9 Olesky, D. Dale
8 Carlson, Joshua
8 Deaett, Louis
8 Hall, Frank J.
7 Barioli, Francesco
7 Brešar, Boštjan
7 Gao, Wei
7 Hicks, Illya V.
7 Kenter, Franklin H. J.
7 Lovász, László
7 Sinkovic, John Henry
6 Oblak, Polona
6 Schrijver, Alexander
6 Šmigoc, Helena
5 Brijder, Robert
5 Butler, Steven Kay
5 Furst, Veronika
5 Jing, Guangming
5 Shitov, Yaroslav Nikolaevich
5 Traldi, Lorenzo
5 Warnberg, Nathan
4 Berliner, Adam H.
4 Bozeman, Chassidy
4 Dominic, Charles
4 Dravec, Tanja
4 Flagg, Mary
4 Gao, Yubin
4 Geneson, Jesse T.
4 Goldberg, Felix
4 Ji, Shengjin
4 Kalinowski, Thomas
4 Kritschgau, Jürgen
4 Laurent, Monique
4 Loewy, Raphael
4 Mikesell, Derek J.
4 Nasserasr, Shahla
4 Rautenbach, Dieter
4 Smith, Logan A.
4 Vander Meulen, Kevin N.
4 Vatandoost, Ebrahim
4 Young, Derek Scott
4 Zhang, Lihua
4 Zimmer, Andrew M.
3 Abiad, Aida
3 Adm, Mohammad
3 Alameda, Joseph S.
3 Alfaro Montúfar, Carlos Alejandro
3 Berman, Abraham S.
3 Chang, Gerard Jennhwa
3 Curl, Emelie
3 Curtis, Bryan A.
3 Dahlgren, F. Scott
3 Danielsen, Lars Eirik
3 Erickson, Craig
3 Fang, Wei
3 Gong, Fei
3 Grout, Jason
3 Guo, Longkun
3 Haas, Ruth
3 Hoogeboom, Hendrik Jan
3 Jacob, Bonnie C.
3 Kroschel, Brenda K.
3 Li, Shuchao
3 Meyer, Seth A.
3 Parker, Matthew Geoffrey
3 Pepper, Ryan D.
3 Rashidi, Saeedeh
3 Reinhart, Carolyn
3 Ross, Michael S.
3 Row, Darren D.
3 Sciriha, Irene
3 Shao, Yanling
3 Shen, Hong
3 Soltani, Abolghasem
3 Soltankhah, Nasrin
3 Stephen, Sudeep
3 Tait, Michael
3 Varvitsiotis, Antonios E.
3 Zahedi, Mohammad Mehdi
3 Zhang, Wenqian
2 Alishahi, Meysam
2 Anderson, Sarah E.
...and 502 more Authors
all top 5

Cited in 94 Serials

102 Linear Algebra and its Applications
39 Discrete Applied Mathematics
19 ELA. The Electronic Journal of Linear Algebra
13 Discrete Mathematics
12 Journal of Combinatorial Theory. Series B
11 European Journal of Combinatorics
11 Graphs and Combinatorics
10 The Electronic Journal of Combinatorics
9 Linear and Multilinear Algebra
9 The Australasian Journal of Combinatorics
9 Journal of Combinatorial Optimization
6 Journal of Graph Theory
6 Theoretical Computer Science
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Special Matrices
4 Discrete Optimization
3 Proceedings of the American Mathematical Society
3 Discussiones Mathematicae. Graph Theory
3 Discrete Mathematics, Algorithms and Applications
2 Applied Mathematics and Computation
2 Czechoslovak Mathematical Journal
2 Journal of Computer and System Sciences
2 Networks
2 Quaestiones Mathematicae
2 Advances in Applied Mathematics
2 Systems & Control Letters
2 Bulletin of the Iranian Mathematical Society
2 Algorithmica
2 Discrete & Computational Geometry
2 SIAM Journal on Discrete Mathematics
2 Designs, Codes and Cryptography
2 Mathematical Programming. Series A. Series B
2 Combinatorics, Probability and Computing
2 INFORMS Journal on Computing
2 Journal of Discrete Mathematical Sciences & Cryptography
2 AKCE International Journal of Graphs and Combinatorics
2 Proyecciones
2 Involve
2 Transactions on Combinatorics
1 American Mathematical Monthly
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Biology
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Annales de l’Institut Fourier
1 Automatica
1 Canadian Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Journal of Multivariate Analysis
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Operations Research Letters
1 Combinatorica
1 Computational Geometry
1 European Journal of Operational Research
1 SIAM Journal on Optimization
1 Experimental Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Filomat
1 Theory of Computing Systems
1 Journal of Integer Sequences
1 Acta Mathematica Sinica. English Series
1 Fundamenta Informaticae
1 Journal of High Energy Physics
1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
1 Algebraic & Geometric Topology
1 Journal of Systems Science and Complexity
1 Natural Computing
1 Algebra and Discrete Mathematics
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra and its Applications
1 Iranian Journal of Fuzzy Systems
1 New Mathematics and Natural Computation
1 Contributions to Discrete Mathematics
1 Groups, Geometry, and Dynamics
1 Operators and Matrices
1 Ars Mathematica Contemporanea
1 Acta Universitatis Sapientiae. Mathematica
1 Acta Universitatis Sapientiae. Informatica
1 Journal of Spectral Theory
1 Journal of Mahani Mathematical Research Center
1 Journal of Computational Dynamics
1 Electronic Journal of Graph Theory and Applications
1 Journal of Linear and Topological Algebra
1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 AIMS Mathematics
1 PUMP Journal of Undergraduate Research
1 Cogent Mathematics & Statistics
1 DML. Discrete Mathematics Letters
1 The Art of Discrete and Applied Mathematics
1 Journal of Algebraic Systems
1 Journal of the Iranian Mathematical Society

Citations by Year