Zhou, Zihan; Li, Shuchao; Yu, Yuantian Mixed graphs whose Hermitian adjacency matrices of the second kind have the smallest eigenvalue greater than \(- \frac{3}{2}\). (English) Zbl 07745174 Discrete Math. 346, No. 12, Article ID 113612, 10 p. (2023). Reviewer: Jinwon Choi (Seoul) MSC: 05C50 05B20 15A18 05C70 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Discrete Math. 346, No. 12, Article ID 113612, 10 p. (2023; Zbl 07745174) Full Text: DOI
Friedman, Benjamin; McGuinness, Sean Girth conditions and Rota’s basis conjecture. (English) Zbl 1514.05031 Graphs Comb. 39, No. 3, Paper No. 51, 22 p. (2023). MSC: 05B35 52B40 15A03 PDFBibTeX XMLCite \textit{B. Friedman} and \textit{S. McGuinness}, Graphs Comb. 39, No. 3, Paper No. 51, 22 p. (2023; Zbl 1514.05031) Full Text: DOI arXiv
Xiong, Qi; Tian, Gui-Xian; Cui, Shu-Yu Principal minors of Hermitian (quasi-)Laplacian matrix of second kind for mixed graphs. (English) Zbl 1524.05194 DML, Discrete Math. Lett. 11, 61-67 (2023). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{Q. Xiong} et al., DML, Discrete Math. Lett. 11, 61--67 (2023; Zbl 1524.05194) Full Text: DOI
Li, Shuchao; Yu, Yuantian Hermitian adjacency matrix of the second kind for mixed graphs. (English) Zbl 1484.05133 Discrete Math. 345, No. 5, Article ID 112798, 22 p. (2022). MSC: 05C50 05C31 15A18 PDFBibTeX XMLCite \textit{S. Li} and \textit{Y. Yu}, Discrete Math. 345, No. 5, Article ID 112798, 22 p. (2022; Zbl 1484.05133) Full Text: DOI arXiv
Aprile, Manuel; Conforti, Michele; Faenza, Yuri; Fiorini, Samuel; Huynh, Tony; Macchia, Marco Recognizing Cartesian products of matrices and polytopes. (English) Zbl 1483.15023 Gentile, Claudio (ed.) et al., Graphs and combinatorial optimization: from theory to applications. Proceedings of the 18th Cologne-Twente workshop on graphs and combinatorial optimization (CTW2020), online, September 14–16, 2020. Cham: Springer. AIRO Springer Ser. 5, 361-373 (2021). MSC: 15A99 51M20 52B05 52B40 90C27 PDFBibTeX XMLCite \textit{M. Aprile} et al., AIRO Springer Ser. 5, 361--373 (2021; Zbl 1483.15023) Full Text: DOI arXiv
Kummer, Mario Spectral linear matrix inequalities. (English) Zbl 1477.15014 Adv. Math. 384, Article ID 107749, 36 p. (2021). Reviewer: Ali Morassaei (Zanjan) MSC: 15A39 15B48 20C30 14P10 05B20 PDFBibTeX XMLCite \textit{M. Kummer}, Adv. Math. 384, Article ID 107749, 36 p. (2021; Zbl 1477.15014) Full Text: DOI arXiv
Lovitz, Benjamin On decomposable correlation matrices. (English) Zbl 07412213 Linear Multilinear Algebra 69, No. 11, 2115-2129 (2021). MSC: 81Pxx 15Axx 46Lxx 94Axx 15Bxx PDFBibTeX XMLCite \textit{B. Lovitz}, Linear Multilinear Algebra 69, No. 11, 2115--2129 (2021; Zbl 07412213) Full Text: DOI arXiv
Deaett, Louis Matroids and the minimum rank problem for matrix patterns. (English) Zbl 1473.05043 Am. Math. Mon. 127, No. 9, 771-788 (2020). MSC: 05B35 15B35 PDFBibTeX XMLCite \textit{L. Deaett}, Am. Math. Mon. 127, No. 9, 771--788 (2020; Zbl 1473.05043) Full Text: DOI
Maclagan, Diane; Rincón, Felipe Tropical ideals. (English. French summary) Zbl 1440.14278 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 803-814 (2020). MSC: 14T10 15A80 16Y60 PDFBibTeX XMLCite \textit{D. Maclagan} and \textit{F. Rincón}, in: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4--8, 2016. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 803--814 (2020; Zbl 1440.14278) Full Text: Link
Rosen, Zvi; Sidman, Jessica; Theran, Louis Algebraic matroids in action. (English) Zbl 1433.05067 Am. Math. Mon. 127, No. 3, 199-216 (2020). MSC: 05B35 52B40 15A83 PDFBibTeX XMLCite \textit{Z. Rosen} et al., Am. Math. Mon. 127, No. 3, 199--216 (2020; Zbl 1433.05067) Full Text: DOI arXiv
Mohar, Bojan A new kind of Hermitian matrices for digraphs. (English) Zbl 1426.05009 Linear Algebra Appl. 584, 343-352 (2020). MSC: 05B20 05C20 05C50 15A18 15A60 PDFBibTeX XMLCite \textit{B. Mohar}, Linear Algebra Appl. 584, 343--352 (2020; Zbl 1426.05009) Full Text: DOI arXiv
Cooper, Colin; Frieze, Alan; Pegden, Wesley On the rank of a random binary matrix. (English) Zbl 1459.15037 Electron. J. Comb. 26, No. 4, Research Paper P4.12, 19 p. (2019). MSC: 15B52 05C50 05C65 05C80 15A03 60C05 PDFBibTeX XMLCite \textit{C. Cooper} et al., Electron. J. Comb. 26, No. 4, Research Paper P4.12, 19 p. (2019; Zbl 1459.15037) Full Text: Link
Nieto, J. A. Generalized Elko theory. (English) Zbl 1421.81058 Mod. Phys. Lett. A 34, No. 26, Article ID 1950211, 9 p. (2019). MSC: 81R25 15A66 05B35 PDFBibTeX XMLCite \textit{J. A. Nieto}, Mod. Phys. Lett. A 34, No. 26, Article ID 1950211, 9 p. (2019; Zbl 1421.81058) Full Text: DOI arXiv
Smith, Derek A.; Traldi, Lorenzo; Watkins, William A note on 2-isomorphisms and the signed Laplacian matrix of a graph. (English) Zbl 1405.05107 Linear Algebra Appl. 563, 277-286 (2019). MSC: 05C50 05C22 15B36 PDFBibTeX XMLCite \textit{D. A. Smith} et al., Linear Algebra Appl. 563, 277--286 (2019; Zbl 1405.05107) Full Text: DOI
Purbhoo, Kevin Total nonnegativity and stable polynomials. (English) Zbl 1415.32006 Can. Math. Bull. 61, No. 4, 836-847 (2018). MSC: 32A60 14M15 15B48 PDFBibTeX XMLCite \textit{K. Purbhoo}, Can. Math. Bull. 61, No. 4, 836--847 (2018; Zbl 1415.32006) Full Text: arXiv Link
Smith, Derek A.; Traldi, Lorenzo; Watkins, William Duality and the signed Laplacian matrix of a graph. (English) Zbl 1385.05052 Linear Algebra Appl. 548, 1-18 (2018). MSC: 05C50 05C10 15B36 05C05 05C22 PDFBibTeX XMLCite \textit{D. A. Smith} et al., Linear Algebra Appl. 548, 1--18 (2018; Zbl 1385.05052) Full Text: DOI
Reese, Tyler M.; Fehribach, Joseph D.; Paffenroth, Randy C.; Servatius, Brigitte Matrices over finite fields and their Kirchhoff graphs. (English) Zbl 1394.15022 Linear Algebra Appl. 547, 128-147 (2018). Reviewer: Wai-Kai Chen (Fremont) MSC: 15B33 05C50 05B35 05C15 05C25 PDFBibTeX XMLCite \textit{T. M. Reese} et al., Linear Algebra Appl. 547, 128--147 (2018; Zbl 1394.15022) Full Text: DOI
Grande, Francesco; Padrol, Arnau; Sanyal, Raman Extension complexity and realization spaces of hypersimplices. (English) Zbl 1387.52042 Discrete Comput. Geom. 59, No. 3, 621-642 (2018). MSC: 52C45 90C57 52B12 15A23 PDFBibTeX XMLCite \textit{F. Grande} et al., Discrete Comput. Geom. 59, No. 3, 621--642 (2018; Zbl 1387.52042) Full Text: DOI arXiv
Giansiracusa, Jeffrey; Giansiracusa, Noah A Grassmann algebra for matroids. (English) Zbl 1384.05063 Manuscr. Math. 156, No. 1-2, 187-213 (2018). MSC: 05B35 52B40 15A75 15A80 15A15 14T05 12K10 PDFBibTeX XMLCite \textit{J. Giansiracusa} and \textit{N. Giansiracusa}, Manuscr. Math. 156, No. 1--2, 187--213 (2018; Zbl 1384.05063) Full Text: DOI arXiv Link
Lebedinskaya, N. A.; Lebedinskii, D. M.; Smirnov, Alexandr Alexandrovich On possible dimensions of subspace intersections for five direct summands. (English. Russian original) Zbl 1370.05031 J. Math. Sci., New York 224, No. 6, 937-941 (2017); translation from Zap. Nauchn. Semin. POMI 453, 189-197 (2016). MSC: 05B35 52B40 15A03 PDFBibTeX XMLCite \textit{N. A. Lebedinskaya} et al., J. Math. Sci., New York 224, No. 6, 937--941 (2017; Zbl 1370.05031); translation from Zap. Nauchn. Semin. POMI 453, 189--197 (2016) Full Text: DOI
Margolis, Stuart; Rhodes, John; Silva, Pedro V. On the topology of a Boolean representable simplicial complex. (English) Zbl 1358.05316 Int. J. Algebra Comput. 27, No. 1, 121-156 (2017). MSC: 05E45 05B35 14F35 15B34 55P15 55U10 57M05 PDFBibTeX XMLCite \textit{S. Margolis} et al., Int. J. Algebra Comput. 27, No. 1, 121--156 (2017; Zbl 1358.05316) Full Text: DOI arXiv
Lebedinskaya, N. A.; Lebedinskii, D. M. On the possible dimensions of subspace intersections. (English. Russian original) Zbl 1370.05030 Vestn. St. Petersbg. Univ., Math. 49, No. 2, 115-118 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 3(61), No. 2, 202-207 (2016). MSC: 05B35 52B40 15A03 PDFBibTeX XMLCite \textit{N. A. Lebedinskaya} and \textit{D. M. Lebedinskii}, Vestn. St. Petersbg. Univ., Math. 49, No. 2, 115--118 (2016; Zbl 1370.05030); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 3(61), No. 2, 202--207 (2016) Full Text: DOI
Ben-Efraim, Aner Secret-sharing matroids need not be algebraic. (English) Zbl 1337.05016 Discrete Math. 339, No. 8, 2136-2145 (2016). MSC: 05B35 52B40 15A09 PDFBibTeX XMLCite \textit{A. Ben-Efraim}, Discrete Math. 339, No. 8, 2136--2145 (2016; Zbl 1337.05016) Full Text: DOI arXiv
Goodall, Andrew; Regts, Guus; Vena, Lluís Matroid invariants and counting graph homomorphisms. (English) Zbl 1331.05155 Linear Algebra Appl. 494, 263-273 (2016). MSC: 05C60 05C15 05C22 05B35 15A72 52C40 05C30 05C31 PDFBibTeX XMLCite \textit{A. Goodall} et al., Linear Algebra Appl. 494, 263--273 (2016; Zbl 1331.05155) Full Text: DOI arXiv
Fulek, Radoslav; Kynčl, Jan; Malinović, Igor; Pálvölgyi, Dömötör Clustered planarity testing revisited. (English) Zbl 1327.05076 Electron. J. Comb. 22, No. 4, Research Paper P4.24, 29 p. (2015). MSC: 05C10 68R10 15A06 05B35 PDFBibTeX XMLCite \textit{R. Fulek} et al., Electron. J. Comb. 22, No. 4, Research Paper P4.24, 29 p. (2015; Zbl 1327.05076) Full Text: Link
Fink, Alex; Rincón, Felipe Stiefel tropical linear spaces. (English) Zbl 1321.15044 J. Comb. Theory, Ser. A 135, 291-331 (2015). MSC: 15A80 14T05 52B40 PDFBibTeX XMLCite \textit{A. Fink} and \textit{F. Rincón}, J. Comb. Theory, Ser. A 135, 291--331 (2015; Zbl 1321.15044) Full Text: DOI arXiv
Pearson, Kelly J. Spectral hypergraph theory of the adjacency hypermatrix and matroids. (English) Zbl 1302.05110 Linear Algebra Appl. 465, 176-187 (2015). MSC: 05C50 05B35 15A18 15A69 05C65 PDFBibTeX XMLCite \textit{K. J. Pearson}, Linear Algebra Appl. 465, 176--187 (2015; Zbl 1302.05110) Full Text: DOI
Scott, Alexander D.; Sokal, Alan D. Complete monotonicity for inverse powers of some combinatorially defined polynomials. (English) Zbl 1304.05074 Acta Math. 213, No. 2, 323-392 (2014). MSC: 05C31 05A15 05A20 05B35 05C50 15A15 15B33 15B57 26A48 26B25 26C05 PDFBibTeX XMLCite \textit{A. D. Scott} and \textit{A. D. Sokal}, Acta Math. 213, No. 2, 323--392 (2014; Zbl 1304.05074) Full Text: DOI arXiv
Netzer, Tim; Thom, Andreas Hyperbolic polynomials and generalized Clifford algebras. (English) Zbl 1316.15028 Discrete Comput. Geom. 51, No. 4, 802-814 (2014). Reviewer: Eckhard Hitzer (Tokyo) MSC: 15A66 13P15 90C22 14M12 PDFBibTeX XMLCite \textit{T. Netzer} and \textit{A. Thom}, Discrete Comput. Geom. 51, No. 4, 802--814 (2014; Zbl 1316.15028) Full Text: DOI arXiv
Fernandes, Rosário; da Cruz, Henrique F. On the term rank partition. (English) Zbl 1295.05032 Linear Algebra Appl. 458, 134-148 (2014). MSC: 05A15 05C50 05D15 15B36 05B20 PDFBibTeX XMLCite \textit{R. Fernandes} and \textit{H. F. da Cruz}, Linear Algebra Appl. 458, 134--148 (2014; Zbl 1295.05032) Full Text: DOI
Sanyal, Raman; Sturmfels, Bernd; Vinzant, Cynthia The entropic discriminant. (English) Zbl 1284.15006 Adv. Math. 244, 678-707 (2013). MSC: 15A21 05B35 13P25 14M12 PDFBibTeX XMLCite \textit{R. Sanyal} et al., Adv. Math. 244, 678--707 (2013; Zbl 1284.15006) Full Text: DOI arXiv
Bodmann, Bernhard G.; Casazza, Peter G.; Paulsen, Vern I.; Speegle, Darrin Spanning and independence properties of frame partitions. (English) Zbl 1281.42031 Proc. Am. Math. Soc. 140, No. 7, 2193-2207 (2012). Reviewer: Ilya Krishtal (DeKalb) MSC: 42C15 15A03 PDFBibTeX XMLCite \textit{B. G. Bodmann} et al., Proc. Am. Math. Soc. 140, No. 7, 2193--2207 (2012; Zbl 1281.42031) Full Text: DOI arXiv
Ball, Simeon; De Beule, Jan On sets of vectors of a finite vector space in which every subset of basis size is a basis. II. (English) Zbl 1257.51006 Des. Codes Cryptography 65, No. 1-2, 5-14 (2012). Reviewer: Leo Storme (Gent) MSC: 51E21 05B35 15A03 94B05 PDFBibTeX XMLCite \textit{S. Ball} and \textit{J. De Beule}, Des. Codes Cryptography 65, No. 1--2, 5--14 (2012; Zbl 1257.51006) Full Text: DOI arXiv Link
Oum, Sang-Il Rank-width and well-quasi-ordering of skew-symmetric or symmetric matrices. (English) Zbl 1244.15027 Linear Algebra Appl. 436, No. 7, 2008-2036 (2012). Reviewer: John D. Dixon (Ottawa) MSC: 15B57 15B33 15A03 05C50 05B35 PDFBibTeX XMLCite \textit{S.-I. Oum}, Linear Algebra Appl. 436, No. 7, 2008--2036 (2012; Zbl 1244.15027) Full Text: DOI arXiv Link
Fernandes, Rosário; da Cruz, Henrique F. The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics. (English) Zbl 1241.15015 Linear Algebra Appl. 436, No. 6, 1545-1561 (2012). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A69 15-03 01A60 15A54 PDFBibTeX XMLCite \textit{R. Fernandes} and \textit{H. F. da Cruz}, Linear Algebra Appl. 436, No. 6, 1545--1561 (2012; Zbl 1241.15015) Full Text: DOI
Duval, Art M.; Klivans, Caroline J.; Martin, Jeremy L. Cellular spanning trees and laplacians of cubical complexes. (English) Zbl 1227.05166 Adv. Appl. Math. 46, No. 1-4, 247-274 (2011). MSC: 05C30 05C50 05E45 15A18 57M15 PDFBibTeX XMLCite \textit{A. M. Duval} et al., Adv. Appl. Math. 46, No. 1--4, 247--274 (2011; Zbl 1227.05166) Full Text: DOI arXiv Link
Wagner, David G. Multivariate stable polynomials: theory and applications. (English) Zbl 1207.32006 Bull. Am. Math. Soc., New Ser. 48, No. 1, 53-84 (2011). MSC: 32A60 05A20 05B35 15A45 15B48 60G55 60K35 PDFBibTeX XMLCite \textit{D. G. Wagner}, Bull. Am. Math. Soc., New Ser. 48, No. 1, 53--84 (2011; Zbl 1207.32006) Full Text: DOI arXiv
Eliahou, Shalom; Lecouvey, Cédric Matching subspaces in a field extension. (English) Zbl 1263.16025 J. Algebra 324, No. 12, 3420-3430 (2010). MSC: 16K40 05D15 12E15 11B75 15A04 PDFBibTeX XMLCite \textit{S. Eliahou} and \textit{C. Lecouvey}, J. Algebra 324, No. 12, 3420--3430 (2010; Zbl 1263.16025) Full Text: DOI arXiv
Geelen, Jim Some open problems on excluding a uniform matroid. (English) Zbl 1172.05013 Adv. Appl. Math. 41, No. 4, 628-637 (2008). Reviewer: Brigitte Servatius (Worcester) MSC: 05B35 05C83 15B33 PDFBibTeX XMLCite \textit{J. Geelen}, Adv. Appl. Math. 41, No. 4, 628--637 (2008; Zbl 1172.05013) Full Text: DOI
Borcea, Julius; Brändén, Petter Applications of stable polynomials to mixed determinants: Johnson’s conjectures, unimodality, and symmetrized Fischer products. (English) Zbl 1151.15013 Duke Math. J. 143, No. 2, 205-223 (2008). Reviewer: John D. Dixon (Ottawa) MSC: 15A15 15A22 15B48 30C15 15A45 PDFBibTeX XMLCite \textit{J. Borcea} and \textit{P. Brändén}, Duke Math. J. 143, No. 2, 205--223 (2008; Zbl 1151.15013) Full Text: DOI arXiv
Kung, Joseph P. S. Minimal blocks of binary even-weight vectors. (English) Zbl 1115.05012 Linear Algebra Appl. 416, No. 2-3, 288-297 (2006). Reviewer: Brigitte Servatius (Worcester) MSC: 05B35 05C15 05C22 11T71 15A06 PDFBibTeX XMLCite \textit{J. P. S. Kung}, Linear Algebra Appl. 416, No. 2--3, 288--297 (2006; Zbl 1115.05012) Full Text: DOI
Eicker, Friedhelm; Ewald, Guenter Linearly independent set families. (English) Zbl 1060.15003 Linear Algebra Appl. 388, 173-191 (2004). Reviewer: Mihail Voicu (Iaşi) MSC: 15A03 62J05 PDFBibTeX XMLCite \textit{F. Eicker} and \textit{G. Ewald}, Linear Algebra Appl. 388, 173--191 (2004; Zbl 1060.15003) Full Text: DOI
Fernandes, Rosário Covering numbers under small perturbations. (English) Zbl 0995.05030 Linear Algebra Appl. 350, No. 1-3, 105-124 (2002). Reviewer: Raul Cordovil (Lisboa) MSC: 05B35 15A03 PDFBibTeX XMLCite \textit{R. Fernandes}, Linear Algebra Appl. 350, No. 1--3, 105--124 (2002; Zbl 0995.05030) Full Text: DOI