Brennan, Zachary; Cox, Christopher; Curtis, Bryan; Gomez-Leos, Enrique; Hadaway, Kimberly; Hogben, Leslie; Thompson, Conor Orthogonal realizations of random sign patterns and other applications of the SIPP. (English) Zbl 07807929 Electron. J. Linear Algebra 39, 434-459 (2023). MSC: 15B35 15B10 15B52 60B20 PDFBibTeX XMLCite \textit{Z. Brennan} et al., Electron. J. Linear Algebra 39, 434--459 (2023; Zbl 07807929) Full Text: DOI arXiv
Abiad, Aida; de Lima, Leonardo; Desai, Dheer; Guo, Krystal; Hogben, Leslie; Madrid, José Positive and negative square energies of graphs. (English) Zbl 1519.05145 Electron. J. Linear Algebra 39, 307-326 (2023). MSC: 05C50 15A18 15A42 PDFBibTeX XMLCite \textit{A. Abiad} et al., Electron. J. Linear Algebra 39, 307--326 (2023; Zbl 1519.05145) Full Text: DOI arXiv Link
Clark, Antwan; Curtis, Bryan A.; Gnang, Edinah K.; Hogben, Leslie Apportionable matrices and gracefully labelled graphs. arXiv:2308.11808 Preprint, arXiv:2308.11808 [math.CO] (2023). MSC: 05C50 05C78 15A04 15A18 BibTeX Cite \textit{A. Clark} et al., ``Apportionable matrices and gracefully labelled graphs'', Preprint, arXiv:2308.11808 [math.CO] (2023) Full Text: arXiv OA License
Dahlgren, F. Scott; Gershkoff, Zachary; Hogben, Leslie; Motlaghian, Sara; Young, Derek Inverse eigenvalue and related problems for hollow matrices described by graphs. (English) Zbl 1510.05176 Electron. J. Linear Algebra 38, 661-679 (2022). Reviewer: Carlos M. da Fonseca (Safat) MSC: 05C50 15A18 15A29 15B57 PDFBibTeX XMLCite \textit{F. S. Dahlgren} et al., Electron. J. Linear Algebra 38, 661--679 (2022; Zbl 1510.05176) Full Text: arXiv Link
Hogben, Leslie; Reinhart, Carolyn Spectra of variants of distance matrices of graphs and digraphs: a survey. arXiv:2103.00647 Preprint, arXiv:2103.00647 [math.CO] (2021). MSC: 05C50 05C12 05C31 15A18 BibTeX Cite \textit{L. Hogben} and \textit{C. Reinhart}, ``Spectra of variants of distance matrices of graphs and digraphs: a survey'', Preprint, arXiv:2103.00647 [math.CO] (2021) Full Text: arXiv OA License
Catral, Minerva; Ciardo, Lorenzo; Hogben, Leslie; Reinhart, Carolyn Spectra of products of digraphs. (English) Zbl 1475.05107 Electron. J. Linear Algebra 36, 744-763 (2020). Reviewer: Huiqiu Lin (Shanghai) MSC: 05C50 05C20 05C12 05C75 05C76 15A18 15A21 PDFBibTeX XMLCite \textit{M. Catral} et al., Electron. J. Linear Algebra 36, 744--763 (2020; Zbl 1475.05107) Full Text: arXiv Link
Hogben, Leslie; Lin, Jephian C.-H.; Olesky, D. D.; van den Driessche, P. The sepr-sets of sign patterns. (English) Zbl 1452.15018 Linear Multilinear Algebra 68, No. 10, 2044-2068 (2020). MSC: 15B35 15A15 15B48 05C50 PDFBibTeX XMLCite \textit{L. Hogben} et al., Linear Multilinear Algebra 68, No. 10, 2044--2068 (2020; Zbl 1452.15018) Full Text: DOI arXiv
Brimkov, Boris; Duna, Ken; Hogben, Leslie; Lorenzen, Kate; Reinhart, Carolyn; Song, Sung-Yell; Yarrow, Mark Graphs that are cospectral for the distance Laplacian. (English) Zbl 1444.05087 Electron. J. Linear Algebra 36, 334-351 (2020). MSC: 05C50 05C12 15A18 15B57 PDFBibTeX XMLCite \textit{B. Brimkov} et al., Electron. J. Linear Algebra 36, 334--351 (2020; Zbl 1444.05087) Full Text: arXiv Link
Chan, Yu; Curl, Emelie; Geneson, Jesse; Hogben, Leslie; Liu, Kevin; Odegard, Isaac; Ross, Michael Using Markov chains to determine expected propagation time for probabilistic zero forcing. (English) Zbl 1453.60131 Electron. J. Linear Algebra 36, 318-333 (2020). MSC: 60J10 15B51 05C69 05D40 15B48 PDFBibTeX XMLCite \textit{Y. Chan} et al., Electron. J. Linear Algebra 36, 318--333 (2020; Zbl 1453.60131) Full Text: arXiv Link
Barrett, Wayne; Butler, Steve; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Lin, Jephian C.-H.; Shader, Bryan L.; Young, Michael The inverse eigenvalue problem of a graph: multiplicities and minors. (English) Zbl 1436.05059 J. Comb. Theory, Ser. B 142, 276-306 (2020). MSC: 05C50 05C83 15A18 15A29 PDFBibTeX XMLCite \textit{W. Barrett} et al., J. Comb. Theory, Ser. B 142, 276--306 (2020; Zbl 1436.05059) Full Text: DOI arXiv
Hogben, Leslie; Shaked-Monderer, Naomi SPN graphs. (English) Zbl 1433.05196 Electron. J. Linear Algebra 35, 376-386 (2019). MSC: 05C50 15B48 15A83 PDFBibTeX XMLCite \textit{L. Hogben} and \textit{N. Shaked-Monderer}, Electron. J. Linear Algebra 35, 376--386 (2019; Zbl 1433.05196) Full Text: Link
Güttel, Stefan (ed.); Hogben, Leslie (ed.); Pálfia, Miklós (ed.); Stykel, Tatjana (ed.) Preface to the proceedings of ILAS 2017: Connections, twenty-first conference of the International Linear Algebra Society, Iowa State University, 24–28 July 2017. (English) Zbl 1416.00035 Linear Algebra Appl. 576, 1-4 (2019). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{S. Güttel} (ed.) et al., Linear Algebra Appl. 576, 1--4 (2019; Zbl 1416.00035) Full Text: DOI
Ferrero, Daniela; Flagg, Mary; Hall, H. Tracy; Hogben, Leslie; Lin, Jephian C.-H.; Meyer, Seth A.; Nasserasr, Shahla; Shader, Bryan Rigid linkages and partial zero forcing. (English) Zbl 1416.05171 Electron. J. Comb. 26, No. 2, Research Paper P2.43, 25 p. (2019). MSC: 05C50 15A18 15B57 PDFBibTeX XMLCite \textit{D. Ferrero} et al., Electron. J. Comb. 26, No. 2, Research Paper P2.43, 25 p. (2019; Zbl 1416.05171) Full Text: arXiv Link
Bjorkman, Beth; Hogben, Leslie; Ponce, Scarlitte; Reinhart, Carolyn; Tranel, Theodor Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph. (English) Zbl 1474.15025 Pure Appl. Funct. Anal. 3, No. 4, 537-563 (2018). MSC: 15A18 05C50 15A29 PDFBibTeX XMLCite \textit{B. Bjorkman} et al., Pure Appl. Funct. Anal. 3, No. 4, 537--563 (2018; Zbl 1474.15025) Full Text: arXiv Link
Aalipour, Ghodratollah; Abiad, Aida; Berikkyzy, Zhanar; Hogben, Leslie; Kenter, Franklin H. J.; Lin, Jephian C.-H.; Tait, Michael Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree. (English) Zbl 1396.05062 Electron. J. Linear Algebra 34, 373-380 (2018). MSC: 05C50 05C12 05C31 15A18 PDFBibTeX XMLCite \textit{G. Aalipour} et al., Electron. J. Linear Algebra 34, 373--380 (2018; Zbl 1396.05062) Full Text: DOI arXiv
Alameda, Joseph S.; Curl, Emelie; Grez, Armando; Hogben, Leslie; Kingston, O’Neill; Schulte, Alex; Young, Derek; Young, Michael Families of graphs with maximum nullity equal to zero forcing number. (English) Zbl 1391.05157 Spec. Matrices 6, 56-67 (2018). MSC: 05C50 15A03 15A18 PDFBibTeX XMLCite \textit{J. S. Alameda} et al., Spec. Matrices 6, 56--67 (2018; Zbl 1391.05157) Full Text: DOI
Hogben, Leslie; Palmowski, Kevin F.; Roberson, David E.; Severini, Simone Orthogonal representations, projective rank, and fractional minimum positive semidefinite rank: connections and new directions. (English) Zbl 1375.15043 Electron. J. Linear Algebra 32, 98-115 (2017). MSC: 15B10 05C72 05C90 15A03 15B57 81P45 PDFBibTeX XMLCite \textit{L. Hogben} et al., Electron. J. Linear Algebra 32, 98--115 (2017; Zbl 1375.15043) Full Text: DOI arXiv Link
Butler, Steve; Catral, Minerva; Hall, H. Tracy; Hogben, Leslie; Martínez-Rivera, Xavier; Shader, Bryan L.; van den Driessche, Pauline The enhanced principal rank characteristic sequence for Hermitian matrices. (English) Zbl 1375.15057 Electron. J. Linear Algebra 32, 58-75 (2017). MSC: 15B57 15A15 15A03 05C50 PDFBibTeX XMLCite \textit{S. Butler} et al., Electron. J. Linear Algebra 32, 58--75 (2017; Zbl 1375.15057) Full Text: DOI Link
Barrett, Wayne; Fallat, Shaun; Hall, H. Tracy; Hogben, Leslie; Lin, Jephian C.-H.; Shader, Bryan L. Generalizations of the strong Arnold property and the minimum number of distinct eigenvalues of a graph. (English) Zbl 1366.05065 Electron. J. Comb. 24, No. 2, Research Paper P2.40, 28 p. (2017). MSC: 05C50 15A18 15A29 15B57 58C15 PDFBibTeX XMLCite \textit{W. Barrett} et al., Electron. J. Comb. 24, No. 2, Research Paper P2.40, 28 p. (2017; Zbl 1366.05065) Full Text: arXiv Link
Hogben, Leslie; Hunacek, Mark Book review of: S. Axler, Linear algebra done right. 3rd ed. (English) Zbl 1391.00012 Am. Math. Mon. 123, No. 6, 621-624 (2016). MSC: 00A17 15-01 15Axx PDFBibTeX XMLCite \textit{L. Hogben} and \textit{M. Hunacek}, Am. Math. Mon. 123, No. 6, 621--624 (2016; Zbl 1391.00012) Full Text: DOI
Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael The enhanced principal rank characteristic sequence. (English) Zbl 1334.15017 Linear Algebra Appl. 498, 181-200 (2016). MSC: 15A15 15A03 15B57 05C50 PDFBibTeX XMLCite \textit{S. Butler} et al., Linear Algebra Appl. 498, 181--200 (2016; Zbl 1334.15017) Full Text: DOI
Aalipour, Ghodratollah; Abiad, Aida; Berikkyzy, Zhanar; Cummings, Jay; De Silva, Jessica; Gao, Wei; Heysse, Kristin; Hogben, Leslie; Kenter, Franklin H. J.; Lin, Jephian C.-H.; Tait, Michael On the distance spectra of graphs. (English) Zbl 1331.05131 Linear Algebra Appl. 497, 66-87 (2016). MSC: 05C50 05C12 05C31 05E30 15A15 15A18 15B48 15B57 PDFBibTeX XMLCite \textit{G. Aalipour} et al., Linear Algebra Appl. 497, 66--87 (2016; Zbl 1331.05131) Full Text: DOI arXiv
Hogben, Leslie; Tam, Bit-Shun; Wilson, Ulrica Note on the Jordan form of an irreducible eventually nonnegative matrix. (English) Zbl 1326.15052 Electron. J. Linear Algebra 30, 279-285 (2015). MSC: 15B48 15A21 15A18 PDFBibTeX XMLCite \textit{L. Hogben} et al., Electron. J. Linear Algebra 30, 279--285 (2015; Zbl 1326.15052) Full Text: DOI Link
Berliner, Adam; Brown, Cora; Carlson, Joshua; Cox, Nathanael; Hogben, Leslie; Hu, Jason; Jacobs, Katrina; Manternach, Kathryn; Peters, Travis; Warnberg, Nathan; Young, Michael Path cover number, maximum nullity, and zero forcing number of oriented graphs and other simple digraphs. (English) Zbl 1309.05115 Involve 8, No. 1, 147-167 (2015). MSC: 05C50 05C20 15A03 PDFBibTeX XMLCite \textit{A. Berliner} et al., Involve 8, No. 1, 147--167 (2015; Zbl 1309.05115) Full Text: DOI
Bozeman, Chassidy; Ellsworth, Annavictoria; Hogben, Leslie; Lin, Jephian Chin-Hung; Maurer, Gabi; Nowak, Kathleen; Rodriguez, Aaron; Strickland, James Minimum rank of graphs with loops. (English) Zbl 1327.05200 Electron. J. Linear Algebra 27, 907-934 (2014). MSC: 05C50 15A03 15B57 PDFBibTeX XMLCite \textit{C. Bozeman} et al., Electron. J. Linear Algebra 27, 907--934 (2014; Zbl 1327.05200)
Grood, Cheryl; Harmse, Johannes; Hogben, Leslie; Hunter, Thomas J.; Jacob, Bonnie; Klimas, Andrew; McCathern, Sharon Minimum rank with zero diagonal. (English) Zbl 1320.05075 Electron. J. Linear Algebra 27, 458-477 (2014). MSC: 05C50 05C70 15A03 15A18 15B57 PDFBibTeX XMLCite \textit{C. Grood} et al., Electron. J. Linear Algebra 27, 458--477 (2014; Zbl 1320.05075) Full Text: DOI
Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Young, Michael The maximum nullity of a complete subdivision graph is equal to its zero forcing number. (English) Zbl 1320.05069 Electron. J. Linear Algebra 27, 444-457 (2014). MSC: 05C50 15A03 15A18 15B57 PDFBibTeX XMLCite \textit{W. Barrett} et al., Electron. J. Linear Algebra 27, 444--457 (2014; Zbl 1320.05069)
Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael The principal rank characteristic sequence over various fields. (English) Zbl 1297.15002 Linear Algebra Appl. 459, 222-236 (2014). MSC: 15A03 15A15 15A18 15B57 05C50 PDFBibTeX XMLCite \textit{W. Barrett} et al., Linear Algebra Appl. 459, 222--236 (2014; Zbl 1297.15002) Full Text: DOI
Hogben, Leslie (ed.) Handbook of linear algebra. 2nd enlarged ed. (English) Zbl 1284.15001 Discrete Mathematics and its Applications. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-4665-0728-9/hbk; 978-1-138-19989-7/pbk; 978-1-138-19989-7/pbk; 978-1-4665-0729-6/ebook). 1904 p., not consecutively paged. (2014). Reviewer: Alexander G. Ramm (Manhattan, KS) MSC: 15-00 65Fxx 68W30 05C50 PDFBibTeX XMLCite \textit{L. Hogben} (ed.), Handbook of linear algebra. 2nd enlarged ed. Boca Raton, FL: Chapman \& Hall/CRC (2014; Zbl 1284.15001) Full Text: DOI
Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie Note on Nordhaus-Gaddum problems for Colin de Verdière type parameters. (English) Zbl 1295.05140 Electron. J. Comb. 20, No. 3, Research Paper P56, 9 p. (2013). MSC: 05C50 05C40 05C83 15A03 15B57 PDFBibTeX XMLCite \textit{W. Barrett} et al., Electron. J. Comb. 20, No. 3, Research Paper P56, 9 p. (2013; Zbl 1295.05140)
Berliner, Adam; Catral, Minerva; Hogben, Leslie; Huynh, My; Lied, Kelsey; Young, Michael Minimum rank, maximum nullity, and zero forcing number of simple digraphs. (English) Zbl 1282.05095 Electron. J. Linear Algebra 26, 762-780 (2013). MSC: 05C50 05C20 15A03 PDFBibTeX XMLCite \textit{A. Berliner} et al., Electron. J. Linear Algebra 26, 762--780 (2013; Zbl 1282.05095) Full Text: DOI Link Link
Archer, Marie; Catral, Minerva; Erickson, Craig; Haber, Rana; Hogben, Leslie; Martinez-Rivera, Xavier; Ochoa, Antonio Potentially eventually exponentially positive sign patterns. (English) Zbl 1280.15016 Involve 6, No. 3, 261-271 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 15B35 15A18 15B48 PDFBibTeX XMLCite \textit{M. Archer} et al., Involve 6, No. 3, 261--271 (2013; Zbl 1280.15016) Full Text: DOI
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; Den Driessche, P. Van; Van Der Holst, Hein Parameters related to tree-width, zero forcing, and maximum nullity of a graph. (English) Zbl 1259.05112 J. Graph Theory 72, No. 1-2, 146-177 (2013). MSC: 05C50 05C85 05C83 15A03 15A18 05C40 05C75 68R10 PDFBibTeX XMLCite \textit{F. Barioli} et al., J. Graph Theory 72, No. 1--2, 146--177 (2013; Zbl 1259.05112) Full Text: DOI
Bini, Dario A. (ed.); Böttcher, Albrecht (ed.); Gemignani, Luca (ed.); Pontecorvo, Largo Bruno (ed.); Hogben, Leslie (ed.); Tisseur, Françoise (ed.) Special issue: Selected papers based on the presentations at the 16th ILAS (International Linear Algebra Society) conference, Pisa, Italy, June 21–25, 2010. (English) Zbl 1320.15002 Linear Algebra Appl. 438, No. 4, 1495-1967 (2013). MSC: 15-06 15A21 15B33 15Bxx 00B25 PDFBibTeX XML
Hogben, Leslie; Wilson, Ulrica Eventual properties of matrices. (English) Zbl 1283.15034 Electron. J. Linear Algebra 23, 953-965 (2012). MSC: 15A21 15B48 15A18 PDFBibTeX XMLCite \textit{L. Hogben} and \textit{U. Wilson}, Electron. J. Linear Algebra 23, 953--965 (2012; Zbl 1283.15034) Full Text: DOI
Catral, Minerva; Cepek, Anna; Hogben, Leslie; Huynh, My; Lazebnik, Kirill; Peters, Travis; Young, Michael Zero forcing number, maximum nullity, and path cover number of subdivided graphs. (English) Zbl 1282.05101 Electron. J. Linear Algebra 23, 906-922 (2012). MSC: 05C50 15A03 15A18 15B57 PDFBibTeX XMLCite \textit{M. Catral} et al., Electron. J. Linear Algebra 23, 906--922 (2012; Zbl 1282.05101) Full Text: Link
Ekstrand, J.; Erickson, C.; Hay, D.; Hogben, L.; Roat, J. Note on positive semidefinite maximum nullity and positive semidefinite zero forcing number of partial 2-trees. (English) Zbl 1252.05118 Electron. J. Linear Algebra 23, 79-87 (2012). MSC: 05C50 05C05 15A03 15A18 15B48 15B57 PDFBibTeX XMLCite \textit{J. Ekstrand} et al., Electron. J. Linear Algebra 23, 79--87 (2012; Zbl 1252.05118) Full Text: DOI Link Link
Catral, M.; Erickson, C.; Hogben, L.; Olesky, D. D.; van den Driessche, P. Sign patterns that allow strong eventual nonnegativity. (English) Zbl 1250.15032 Electron. J. Linear Algebra 23, 1-10 (2012). MSC: 15B35 15B48 15A18 PDFBibTeX XMLCite \textit{M. Catral} et al., Electron. J. Linear Algebra 23, 1--10 (2012; Zbl 1250.15032) Full Text: Link
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van der Holst, Hein On the graph complement conjecture for minimum rank. (English) Zbl 1241.05064 Linear Algebra Appl. 436, No. 12, 4373-4391 (2012). MSC: 05C50 15A03 15B57 15A18 PDFBibTeX XMLCite \textit{F. Barioli} et al., Linear Algebra Appl. 436, No. 12, 4373--4391 (2012; Zbl 1241.05064) Full Text: DOI
Edholm, Christina J.; Hogben, Leslie; Huynh, My; LaGrange, Joshua; Row, Darren D. Vertex and edge spread of zero forcing number, maximum nullity, and minimum rank of a graph. (English) Zbl 1241.05076 Linear Algebra Appl. 436, No. 12, 4352-4372 (2012). MSC: 05C50 15A03 15A18 PDFBibTeX XMLCite \textit{C. J. Edholm} et al., Linear Algebra Appl. 436, No. 12, 4352--4372 (2012; Zbl 1241.05076) Full Text: DOI
Brualdi, R. (ed.); Fallat, S. (ed.); Hogben, L. (ed.); Shader, B. (ed.); van den Driessche, P. (ed.) Special issue: Matrices described by patterns. Selected papers based on the presentations at the workshop, BIRS, Banff, Canada. (English) Zbl 1246.15002 Linear Algebra Appl. 436, No. 12, 4349-4529 (2012). MSC: 15-06 15A99 15B99 65F99 00B25 PDFBibTeX XML
Archer, Marie; Catral, Minerva; Erickson, Craig; Haber, Rana; Hogben, Leslie; Martinez-Rivera, Xavier; Ochoa, Antonio Constructions of potentially eventually positive sign patterns with reducible positive part. (English) Zbl 1252.15033 Involve 4, No. 4, 405-410 (2011). MSC: 15B35 15B48 05C50 15A18 PDFBibTeX XMLCite \textit{M. Archer} et al., Involve 4, No. 4, 405--410 (2011; Zbl 1252.15033) Full Text: DOI Link
Hogben, Leslie A note on minimum rank and maximum nullity of sign patterns. (English) Zbl 1223.15037 Electron. J. Linear Algebra 22, 203-213 (2011). MSC: 15B35 05C50 15A03 05C05 94A05 68Q17 PDFBibTeX XMLCite \textit{L. Hogben}, Electron. J. Linear Algebra 22, 203--213 (2011; Zbl 1223.15037) Full Text: DOI EuDML EMIS Link
Almodovar, Edgard; Deloss, Laura; Hogben, Leslie; Hogenson, Kirsten; Murphy, Kaitlyn; Peters, Travis; Ramírez, Camila A. Minimum rank, maximum nullity and zero forcing number for selected graph families. (English) Zbl 1203.05088 Involve 3, No. 4, 371-392 (2010). MSC: 05C50 15A03 15A18 PDFBibTeX XMLCite \textit{E. Almodovar} et al., Involve 3, No. 4, 371--392 (2010; Zbl 1203.05088) Full Text: DOI
Hogben, Leslie; McLeod, Jillian A linear algebraic view of partition regular matrices. (English) Zbl 1218.15013 Linear Algebra Appl. 433, No. 11-12, 1809-1820 (2010). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15B35 15A03 05C40 05D10 05B20 05C50 05C20 PDFBibTeX XMLCite \textit{L. Hogben} and \textit{J. McLeod}, Linear Algebra Appl. 433, No. 11--12, 1809--1820 (2010; Zbl 1218.15013) Full Text: DOI Link
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; van den Driessche, P.; van der Holst, Hein Zero forcing parameters and minimum rank problems. (English) Zbl 1209.05139 Linear Algebra Appl. 433, No. 2, 401-411 (2010). MSC: 05C50 15A03 15A18 15B57 PDFBibTeX XMLCite \textit{F. Barioli} et al., Linear Algebra Appl. 433, No. 2, 401--411 (2010; Zbl 1209.05139) Full Text: DOI arXiv Link
Hall, H. Tracy; Hogben, Leslie; Martin, Ryan; Shader, Bryan Expected values of parameters associated with the minimum rank of a graph. (English) Zbl 1217.05142 Linear Algebra Appl. 433, No. 1, 101-117 (2010). MSC: 05C50 05C80 15A03 PDFBibTeX XMLCite \textit{H. T. Hall} et al., Linear Algebra Appl. 433, No. 1, 101--117 (2010; Zbl 1217.05142) Full Text: DOI arXiv Link
DeLoss, Laura; Grout, Jason; Hogben, Leslie; McKay, Tracy; Smith, Jason; Tims, Geoff Techniques for determining the minimum rank of a small graph. (English) Zbl 1195.05041 Linear Algebra Appl. 432, No. 11, 2995-3001 (2010). MSC: 05C50 15A03 PDFBibTeX XMLCite \textit{L. DeLoss} et al., Linear Algebra Appl. 432, No. 11, 2995--3001 (2010; Zbl 1195.05041) Full Text: DOI arXiv Link
Allison, Mary; Bodine, Elizabeth; deAlba, Luz Maria; Debnath, Joyati; deLoss, Laura; Garnett, Colin; Grout, Jason; Hogben, Leslie; Im, Bokhee; Kim, Hana; Nair, Reshmi; Pryporova, Olga; Savage, Kendrick; Shader, Bryan; Wangsness Wehe, Amy Minimum rank of skew-symmetric matrices described by a graph. (English) Zbl 1217.05133 Linear Algebra Appl. 432, No. 10, 2457-2472 (2010). MSC: 05C50 15A03 PDFBibTeX XMLCite \textit{M. Allison} et al., Linear Algebra Appl. 432, No. 10, 2457--2472 (2010; Zbl 1217.05133) Full Text: DOI Link
Hogben, Leslie Minimum rank problems. (English) Zbl 1213.05036 Linear Algebra Appl. 432, No. 8, 1961-1974 (2010). MSC: 05C05 05C50 15A03 15A18 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 432, No. 8, 1961--1974 (2010; Zbl 1213.05036) Full Text: DOI
Hogben, Leslie; Shader, Bryan Maximum generic nullity of a graph. (English) Zbl 1185.05098 Linear Algebra Appl. 432, No. 4, 857-866 (2010). MSC: 05C50 15A03 15A18 PDFBibTeX XMLCite \textit{L. Hogben} and \textit{B. Shader}, Linear Algebra Appl. 432, No. 4, 857--866 (2010; Zbl 1185.05098) Full Text: DOI Link
Hogben, Leslie Spectral graph theory and the inverse eigenvalue problem of a graph. (English) Zbl 1268.05125 Chamchuri J. Math. 1, No. 1, 51-72 (2009). MSC: 05C50 15A18 15A03 PDFBibTeX XMLCite \textit{L. Hogben}, Chamchuri J. Math. 1, No. 1, 51--72 (2009; Zbl 1268.05125)
Catral, Minerva; Hogben, Leslie; Olesky, Dale D.; van den Driessche, Pauline Sign patterns that require or allow power-positivity. (English) Zbl 1190.15032 Electron. J. Linear Algebra 19, 121-128 (2009). Reviewer: K. C. Sivakumar (Chennai) MSC: 15B35 15B48 05C50 15A18 05C20 PDFBibTeX XMLCite \textit{M. Catral} et al., Electron. J. Linear Algebra 19, 121--128 (2009; Zbl 1190.15032) Full Text: DOI EuDML EMIS
Berman, Abraham; Catral, Minerva; Dealba, Luz Maria; Elhashash, Abed; Hall, Frank J.; Hogben, Leslie; Kim, In-Jae; Olesky, Dale D.; Tarazaga, Pablo; Tsatsomeros, Michael J.; van den Driessche, Pauline Sign patterns that allow eventual positivity. (English) Zbl 1190.15031 Electron. J. Linear Algebra 19, 108-120 (2009). Reviewer: K. C. Sivakumar (Chennai) MSC: 15B35 15B48 05C50 15A18 PDFBibTeX XMLCite \textit{A. Berman} et al., Electron. J. Linear Algebra 19, 108--120 (2009; Zbl 1190.15031) Full Text: DOI EuDML EMIS Link
Ellison, Elisabeth M.; Hogben, Leslie; Tsatsomeros, Michael J. Sign patterns that require eventual positivity or require eventual nonnegativity. (English) Zbl 1193.15031 Electron. J. Linear Algebra 19, 98-107 (2009). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15B48 05C50 15A18 15B35 PDFBibTeX XMLCite \textit{E. M. Ellison} et al., Electron. J. Linear Algebra 19, 98--107 (2009; Zbl 1193.15031) Full Text: DOI EuDML EMIS Link
Dealba, Luz M.; Grout, Jason; Hogben, Leslie; Mikkelson, Rana; Rasmussen, Kaela Universally optimal matrices and field independence of the minimum rank of a graph. (English) Zbl 1189.05100 Electron. J. Linear Algebra 18, 403-419 (2009). MSC: 05C50 15A03 PDFBibTeX XMLCite \textit{L. M. Dealba} et al., Electron. J. Linear Algebra 18, 403--419 (2009; Zbl 1189.05100) Full Text: EuDML EMIS
Barioli, Francesco; Fallat, Shaun M.; Hall, H. Tracy; Hershkowitz, Daniel; Hogben, Leslie; Van Der Holst, Hein; Shader, Bryan On the minimum rank of not necessarily symmetric matrices: a preliminary study. (English) Zbl 1169.05345 Electron. J. Linear Algebra 18, 126-145 (2009). MSC: 05C50 05C05 15A03 15A18 PDFBibTeX XMLCite \textit{F. Barioli} et al., Electron. J. Linear Algebra 18, 126--145 (2009; Zbl 1169.05345) Full Text: DOI EuDML EMIS Link
Dealba, Luz Maria; Hogben, Leslie; Sarma, Bhaba Kumar The \(Q\)-matrix completion problem. (English) Zbl 1176.15035 Electron. J. Linear Algebra 18, 176-191 (2009). Reviewer: John D. Dixon (Ottawa) MSC: 15A83 05C50 15B48 05C20 PDFBibTeX XMLCite \textit{L. M. Dealba} et al., Electron. J. Linear Algebra 18, 176--191 (2009; Zbl 1176.15035) Full Text: EuDML EMIS
Berman, Avi; Friedland, Shmuel; Hogben, Leslie; Rothblum, Uriel G.; Shader, Bryan Minimum rank of matrices described by a graph or pattern over the rational, real and complex numbers. (English) Zbl 1179.05070 Electron. J. Comb. 15, No. 1, Research Paper R25, 19 p. (2008). MSC: 05C50 15A03 PDFBibTeX XMLCite \textit{A. Berman} et al., Electron. J. Comb. 15, No. 1, Research Paper R25, 19 p. (2008; Zbl 1179.05070) Full Text: EuDML EMIS
Berman, Avi; Friedland, Shmuel; Hogben, Leslie; Rothblum, Uriel G.; Shader, Bryan An upper bound for the minimum rank of a graph. (English) Zbl 1144.05314 Linear Algebra Appl. 429, No. 7, 1629-1638 (2008). MSC: 05C50 15A03 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 429, No. 7, 1629--1638 (2008; Zbl 1144.05314) Full Text: DOI Link
Hogben, Leslie Orthogonal representations, minimum rank, and graph complements. (English) Zbl 1147.05049 Linear Algebra Appl. 428, No. 11-12, 2560-2568 (2008). MSC: 05C50 15A03 15A18 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 428, No. 11--12, 2560--2568 (2008; Zbl 1147.05049) Full Text: DOI Link
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 Zero forcing sets and the minimum rank of graphs. (English) Zbl 1135.05035 Linear Algebra Appl. 428, No. 7, 1628-1648 (2008). MSC: 05C50 15A18 15A03 PDFBibTeX XMLCite \textit{F. Barioli} et al., Linear Algebra Appl. 428, No. 7, 1628--1648 (2008; Zbl 1135.05035) Full Text: DOI Link
Chenette, Nathan L.; Droms, Sean V.; Hogben, Leslie; Mikkelson, Rana; Pryporova, Olga Minimum rank of a tree over an arbitrary field. (English) Zbl 1142.05335 Electron. J. Linear Algebra 16, 183-186 (2007). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{N. L. Chenette} et al., Electron. J. Linear Algebra 16, 183--186 (2007; Zbl 1142.05335) Full Text: DOI EuDML
Fallat, Shaun M.; Hogben, Leslie The minimum rank of symmetric matrices described by a graph: a survey. (English) Zbl 1122.05057 Linear Algebra Appl. 426, No. 2-3, 558-582 (2007). MSC: 05C50 15A03 15A18 PDFBibTeX XMLCite \textit{S. M. Fallat} and \textit{L. Hogben}, Linear Algebra Appl. 426, No. 2--3, 558--582 (2007; Zbl 1122.05057) Full Text: DOI arXiv
DeAlba, Luz M.; Hentzel, Irvin R.; Hogben, Leslie; McDonald, Judith; Mikkelson, Rana; Pryporova, Olga; Shader, Bryan; Vander Meulen, Kevin N. Spectrally arbitrary patterns: Reducibility and the \(2n\) conjecture for \(n = 5\). (English) Zbl 1118.15007 Linear Algebra Appl. 423, No. 2-3, 262-276 (2007). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{L. M. DeAlba} et al., Linear Algebra Appl. 423, No. 2--3, 262--276 (2007; Zbl 1118.15007) Full Text: DOI
Hogben, Leslie; van der Holst, Hein Forbidden minors for the class of graphs \(G\) with \(\xi (G) \leqslant 2\). (English) Zbl 1118.05064 Linear Algebra Appl. 423, No. 1, 42-52 (2007). Reviewer: Jun-Ming Xu (Hefei) MSC: 05C50 05C83 15A03 15A18 PDFBibTeX XMLCite \textit{L. Hogben} and \textit{H. van der Holst}, Linear Algebra Appl. 423, No. 1, 42--52 (2007; Zbl 1118.05064) Full Text: DOI
Hogben, Leslie The copositive completion problem: unspecified diagonal entries. (English) Zbl 1111.15014 Linear Algebra Appl. 420, No. 1, 160-162 (2007). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 15B48 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 420, No. 1, 160--162 (2007; Zbl 1111.15014) Full Text: DOI Link
Hogben, Leslie (ed.); Brualdi, Richard (ed.); Greenbaum, Anne (ed.); Mathias, Roy (ed.) Handbook of linear algebra. (English) Zbl 1122.15001 Discrete Mathematics and its Applications. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-510-6/hbk). xxxii, 1400 p. (2007). Reviewer: Frank Uhlig (Auburn) MSC: 15-00 65Fxx 05C50 68W30 PDFBibTeX XMLCite \textit{L. Hogben} (ed.) et al., Handbook of linear algebra. Boca Raton, FL: Chapman \& Hall/CRC (2007; Zbl 1122.15001)
DeAlba, Luz Maria; Hardy, Timothy L.; Hentzel, Irvin Roy; Hogben, Leslie; Wangsness, Amy Minimum rank and maximum eigenvalue multiplicity of symmetric tree sign patterns. (English) Zbl 1106.05059 Linear Algebra Appl. 418, No. 2-3, 394-415 (2006). MSC: 05C50 15A18 05C05 05C85 PDFBibTeX XMLCite \textit{L. M. DeAlba} et al., Linear Algebra Appl. 418, No. 2--3, 394--415 (2006; Zbl 1106.05059) Full Text: DOI
Chowdhury, Atoshi; Hogben, Leslie; Melancon, Jude; Mikkelson, Rana Rational realization of maximum eigenvalue multiplicity of symmetric tree sign patterns. (English) Zbl 1105.05043 Linear Algebra Appl. 418, No. 2-3, 380-393 (2006). MSC: 05C50 15A18 05C05 05C85 PDFBibTeX XMLCite \textit{A. Chowdhury} et al., Linear Algebra Appl. 418, No. 2--3, 380--393 (2006; Zbl 1105.05043) Full Text: DOI Link
Bowers, John; Evers, Job; Hogben, Leslie; Shaner, Steve; Snider, Karyn; Wangsness, Amy On completion problems for various classes of \(P\)-matrices. (English) Zbl 1095.15016 Linear Algebra Appl. 413, No. 2-3, 342-354 (2006). Reviewer: Ralf Gramlich (Darmstadt) MSC: 15A29 15A15 15A45 15B48 05C50 PDFBibTeX XMLCite \textit{J. Bowers} et al., Linear Algebra Appl. 413, No. 2--3, 342--354 (2006; Zbl 1095.15016) Full Text: DOI
Barioli, Francesco; Fallat, Shaun; Hogben, Leslie A variant on the graph parameters of Colin de Verdière: implications to the minimum rank of graphs. (English) Zbl 1092.05042 Electron. J. Linear Algebra 13, 387-404 (2005). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{F. Barioli} et al., Electron. J. Linear Algebra 13, 387--404 (2005; Zbl 1092.05042) Full Text: DOI EuDML EMIS
Barioli, Francesco; Fallat, Shaun; Hogben, Leslie On the difference between the maximum multiplicity and path cover number for tree-like graphs. (English) Zbl 1072.05037 Linear Algebra Appl. 409, 13-31 (2005). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{F. Barioli} et al., Linear Algebra Appl. 409, 13--31 (2005; Zbl 1072.05037) Full Text: DOI
Hogben, Leslie; Johnson, Charles R.; Reams, Robert The copositive completion problem. (English) Zbl 1098.15010 Linear Algebra Appl. 408, 207-211 (2005). Reviewer: Rabe von Randow (Bonn) MSC: 15A29 15A18 15B48 15B51 PDFBibTeX XMLCite \textit{L. Hogben} et al., Linear Algebra Appl. 408, 207--211 (2005; Zbl 1098.15010) Full Text: DOI Link
Hogben, Leslie Spectral graph theory and the inverse eigenvalue problem of a graph. (English) Zbl 1162.05333 Electron. J. Linear Algebra 14, 12-31 (2005). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{L. Hogben}, Electron. J. Linear Algebra 14, 12--31 (2005; Zbl 1162.05333) Full Text: DOI EuDML EMIS Link
Barioli, Francesco; Fallat, Shaun; Hogben, Leslie Computation of minimal rank and path cover number for certain graphs. (English) Zbl 1052.05045 Linear Algebra Appl. 392, 289-303 (2004). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{F. Barioli} et al., Linear Algebra Appl. 392, 289--303 (2004; Zbl 1052.05045) Full Text: DOI
DeAlba, Luz Maria; Hardy, Timothy L.; Hogben, Leslie; Wangsness, Amy The (weakly) sign symmetric \(P\)-matrix completion problems. (English) Zbl 1038.15007 Electron. J. Linear Algebra 10, 257-271 (2003). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A29 05C20 15B48 05C50 PDFBibTeX XMLCite \textit{L. M. DeAlba} et al., Electron. J. Linear Algebra 10, 257--271 (2003; Zbl 1038.15007) Full Text: DOI EuDML EMIS
Hogben, Leslie Matrix completion problems for pairs of related classes of matrices. (English) Zbl 1048.15014 Linear Algebra Appl. 373, 13-29 (2003). Reviewer: Alexander Guterman (Moskva) MSC: 15A29 05C50 05C20 15B48 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 373, 13--29 (2003; Zbl 1048.15014) Full Text: DOI
Choi, Ji Young; Dealba, Luz Maria; Hogben, Leslie; Kivunge, Benard M.; Nordstrom, Sandra K.; Shedenhelm, Mike The nonnegative \(P_0\)-matrix completion problem. (English) Zbl 1026.15012 Electron. J. Linear Algebra 10, 46-59 (2003). Reviewer: Zhexian Wan (Beijing) MSC: 15A29 05C20 15B48 05C50 PDFBibTeX XMLCite \textit{J. Y. Choi} et al., Electron. J. Linear Algebra 10, 46--59 (2003; Zbl 1026.15012) Full Text: DOI EuDML EMIS
Hogben, Leslie The symmetric \(M\)-matrix and symmetric inverse \(M\)-matrix completion problems. (English) Zbl 1014.15008 Linear Algebra Appl. 353, No. 1-3, 159-168 (2002). Reviewer: B.Larato (Bari) MSC: 15A29 15B48 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 353, No. 1--3, 159--168 (2002; Zbl 1014.15008) Full Text: DOI
Choi, Ji Young; DeAlba, Luz Maria; Hogben, Leslie; Maxwell, Mandi S.; Wangsness, Amy The \(P_0\)-matrix completion problem. (English) Zbl 1004.15018 Electron. J. Linear Algebra 9, 1-20 (2002). Reviewer: B.Larato (Bari) MSC: 15A29 15B48 05C50 05C20 PDFBibTeX XMLCite \textit{J. Y. Choi} et al., Electron. J. Linear Algebra 9, 1--20 (2002; Zbl 1004.15018) Full Text: DOI EuDML EMIS
Hogben, Leslie Graph theoretic methods for matrix completion problems. (English) Zbl 0996.15011 Linear Algebra Appl. 328, No. 1-3, 161-202 (2001). Reviewer: B.Larato (Bari) MSC: 15A29 05C50 15B57 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 328, No. 1--3, 161--202 (2001; Zbl 0996.15011) Full Text: DOI
DeAlba, Luz Maria; Hogben, Leslie Completions of P-matrix patterns. (English) Zbl 0976.15011 Linear Algebra Appl. 319, No. 1-3, 83-102 (2000). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A29 15B48 PDFBibTeX XMLCite \textit{L. M. DeAlba} and \textit{L. Hogben}, Linear Algebra Appl. 319, No. 1--3, 83--102 (2000; Zbl 0976.15011) Full Text: DOI
Hogben, Leslie Inverse \(M\)-matrix completions of patterns omitting some diagonal positions. (English) Zbl 0958.15010 Linear Algebra Appl. 313, No. 1-3, 173-192 (2000). Reviewer: Robert Guralnick (Los Angeles) MSC: 15A29 15A09 15B48 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 313, No. 1--3, 173--192 (2000; Zbl 0958.15010) Full Text: DOI
Hogben, Leslie Completions of \(M\)-matrix patterns. (English) Zbl 0935.15017 Linear Algebra Appl. 285, No. 1-3, 143-152 (1998). MSC: 15A29 15B48 05C20 05C50 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 285, No. 1--3, 143--152 (1998; Zbl 0935.15017) Full Text: DOI
Hogben, Leslie Completions of inverse \(M\)-matrix patterns. (English) Zbl 0938.15009 Linear Algebra Appl. 282, No. 1-3, 145-160 (1998). MSC: 15A29 15B48 PDFBibTeX XMLCite \textit{L. Hogben}, Linear Algebra Appl. 282, No. 1--3, 145--160 (1998; Zbl 0938.15009) Full Text: DOI