Furtado, Susana; Johnson, Charles R. Efficiency of any weighted geometric mean of the columns of a reciprocal matrix. (English) Zbl 1527.15036 Linear Algebra Appl. 680, 83-92 (2024). MSC: 15B48 05C20 90B50 91B06 PDFBibTeX XMLCite \textit{S. Furtado} and \textit{C. R. Johnson}, Linear Algebra Appl. 680, 83--92 (2024; Zbl 1527.15036) Full Text: DOI
Gavrilyuk, Alexander L.; Munemasa, Akihiro Maximal digraphs whose Hermitian spectral radius is at most 2. (English) Zbl 1504.05163 Linear Algebra Appl. 658, 331-349 (2023). MSC: 05C50 05C22 05C35 15A18 15B57 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. Munemasa}, Linear Algebra Appl. 658, 331--349 (2023; Zbl 1504.05163) Full Text: DOI arXiv
Farsi, Carla; Proctor, Emily; Seaton, Christopher The spectra of digraphs with Morita equivalent \(C^\ast\)-algebras. (English) Zbl 1506.05118 Linear Algebra Appl. 655, 28-64 (2022). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 05C50 05C20 46L35 PDFBibTeX XMLCite \textit{C. Farsi} et al., Linear Algebra Appl. 655, 28--64 (2022; Zbl 1506.05118) Full Text: DOI arXiv
Breen, J.; Brouwer, C.; Catral, M.; Cavers, M.; van den Driessche, P.; Vander Meulen, K. N. Minimum number of distinct eigenvalues allowed by a sign pattern. (English) Zbl 1503.15046 Linear Algebra Appl. 654, 311-338 (2022). Reviewer: Juan Ramón Torregrosa Sánchez (Valencia) MSC: 15B35 15A18 15A29 05C50 PDFBibTeX XMLCite \textit{J. Breen} et al., Linear Algebra Appl. 654, 311--338 (2022; Zbl 1503.15046) Full Text: DOI
O, Suil Colorings in digraphs from the spectral radius. (English) Zbl 1498.05105 Linear Algebra Appl. 654, 1-9 (2022). MSC: 05C15 05C20 05C50 15A18 PDFBibTeX XMLCite \textit{S. O}, Linear Algebra Appl. 654, 1--9 (2022; Zbl 1498.05105) Full Text: DOI
Baghipur, Maryam; Ganie, Hilal A.; Ghorbani, Modjtaba; Andrade, Enide On the spectral radius of the generalized adjacency matrix of a digraph. (English) Zbl 1497.05142 Linear Algebra Appl. 653, 287-313 (2022). MSC: 05C50 05C20 05C35 05C40 05C12 15A18 PDFBibTeX XMLCite \textit{M. Baghipur} et al., Linear Algebra Appl. 653, 287--313 (2022; Zbl 1497.05142) Full Text: DOI
Sergeev, Sergeĭ; Wang, Hui-li Extremality criteria for the supereigenvector space in max-plus algebra. (English) Zbl 07593885 Linear Algebra Appl. 653, 116-134 (2022). MSC: 15A80 15A39 05C50 05C20 PDFBibTeX XMLCite \textit{S. Sergeev} and \textit{H.-l. Wang}, Linear Algebra Appl. 653, 116--134 (2022; Zbl 07593885) Full Text: DOI arXiv
Kim, Jaehoon; Kim, Soyeon; O, Suil; Oh, Semin A Cvetković-type theorem for coloring of digraphs. (English) Zbl 1482.05137 Linear Algebra Appl. 634, 30-36 (2022). Reviewer: Wai-Kai Chen (Fremont) MSC: 05C20 05C15 05C50 05C31 15A18 PDFBibTeX XMLCite \textit{J. Kim} et al., Linear Algebra Appl. 634, 30--36 (2022; Zbl 1482.05137) Full Text: DOI
Bravo, Diego; Cubría, Florencia; Fiori, Marcelo; Trevisan, Vilmar Complementarity spectrum of digraphs. (English) Zbl 1468.05145 Linear Algebra Appl. 627, 24-40 (2021). MSC: 05C50 05C20 PDFBibTeX XMLCite \textit{D. Bravo} et al., Linear Algebra Appl. 627, 24--40 (2021; Zbl 1468.05145) Full Text: DOI arXiv
Komatsu, Takashi; Konno, Norio; Sato, Iwao A zeta function with respect to non-backtracking alternating walks for a digraph. (English) Zbl 1462.05231 Linear Algebra Appl. 620, 344-367 (2021). MSC: 05C50 05C20 05C70 15A15 11M41 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Linear Algebra Appl. 620, 344--367 (2021; Zbl 1462.05231) Full Text: DOI
Akbari, S.; Das, K. C.; Khalashi Ghezelahmad, S.; Koorepazan-Moftakhar, F. Hypoenergetic and nonhypoenergetic digraphs. (English) Zbl 1462.05209 Linear Algebra Appl. 618, 129-143 (2021). MSC: 05C50 05C20 PDFBibTeX XMLCite \textit{S. Akbari} et al., Linear Algebra Appl. 618, 129--143 (2021; Zbl 1462.05209) Full Text: DOI
Yao, Hongmei; Li, Zhen; Chen, Lixiang; Bu, Changjiang New Brualdi-type eigenvalue inclusion sets for tensors. (English) Zbl 1458.15024 Linear Algebra Appl. 614, 343-355 (2021). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{H. Yao} et al., Linear Algebra Appl. 614, 343--355 (2021; Zbl 1458.15024) Full Text: DOI
Cavers, Michael Polynomial stability and potentially stable patterns. (English) Zbl 1458.15055 Linear Algebra Appl. 613, 87-114 (2021). MSC: 15B35 15A18 05C50 05C20 PDFBibTeX XMLCite \textit{M. Cavers}, Linear Algebra Appl. 613, 87--114 (2021; Zbl 1458.15055) Full Text: DOI
Agudelo, Natalia; Monsalve, Juan; Rada, Juan On the characterization of digraphs with given rank. (English) Zbl 1437.05084 Linear Algebra Appl. 587, 215-227 (2020). MSC: 05C20 05C50 PDFBibTeX XMLCite \textit{N. Agudelo} et al., Linear Algebra Appl. 587, 215--227 (2020; Zbl 1437.05084) Full Text: DOI
Dalfó, C.; Fiol, M. A. Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups. (English) Zbl 1437.05134 Linear Algebra Appl. 597, 94-112 (2020). MSC: 05C50 05C20 05C70 15A18 20C30 PDFBibTeX XMLCite \textit{C. Dalfó} and \textit{M. A. Fiol}, Linear Algebra Appl. 597, 94--112 (2020; Zbl 1437.05134) Full Text: DOI arXiv
Xi, Weige; So, Wasin; Wang, Ligong The generalized distance matrix of digraphs. (English) Zbl 1416.05184 Linear Algebra Appl. 577, 270-286 (2019). MSC: 05C50 15A18 05C20 05C40 PDFBibTeX XMLCite \textit{W. Xi} et al., Linear Algebra Appl. 577, 270--286 (2019; Zbl 1416.05184) Full Text: DOI arXiv
You, Lihua; Yang, Man; So, Wasin; Xi, Weige On the spectrum of an equitable quotient matrix and its application. (English) Zbl 1418.05093 Linear Algebra Appl. 577, 21-40 (2019). MSC: 05C50 05C35 05C20 15A18 PDFBibTeX XMLCite \textit{L. You} et al., Linear Algebra Appl. 577, 21--40 (2019; Zbl 1418.05093) Full Text: DOI
Yao, Hongmei; Zhang, Can; Liu, Lei; Zhou, Jiang; Bu, Changjiang Singular value inclusion sets of rectangular tensors. (English) Zbl 1423.15026 Linear Algebra Appl. 576, 181-199 (2019). Reviewer: Rick Rischter (Itajubá) MSC: 15A69 15A18 05C50 PDFBibTeX XMLCite \textit{H. Yao} et al., Linear Algebra Appl. 576, 181--199 (2019; Zbl 1423.15026) Full Text: DOI
Balbuena, C.; Dalfó, C.; Martínez-Barona, B. Characterizing identifying codes from the spectrum of a graph or digraph. (English) Zbl 1411.05098 Linear Algebra Appl. 570, 138-147 (2019). MSC: 05C20 05C50 94B99 PDFBibTeX XMLCite \textit{C. Balbuena} et al., Linear Algebra Appl. 570, 138--147 (2019; Zbl 1411.05098) Full Text: DOI Link
Huang, Zejun; Lyu, Zhenhua 0-1 matrices with zero trace whose squares are 0-1 matrices. (English) Zbl 1410.15058 Linear Algebra Appl. 565, 156-176 (2019). MSC: 15B36 05C35 05C50 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{Z. Lyu}, Linear Algebra Appl. 565, 156--176 (2019; Zbl 1410.15058) Full Text: DOI arXiv
Greaves, Gary; Mohar, Bojan; O, Suil Interlacing families and the Hermitian spectral norm of digraphs. (English) Zbl 1405.05069 Linear Algebra Appl. 564, 201-208 (2019). MSC: 05C20 05C50 PDFBibTeX XMLCite \textit{G. Greaves} et al., Linear Algebra Appl. 564, 201--208 (2019; Zbl 1405.05069) Full Text: DOI arXiv Link
Filipovski, Slobodan; Jajcay, Robert On the non-existence of families of \((d,k, \delta)\)-digraphs containing only selfrepeat vertices. (English) Zbl 1405.05100 Linear Algebra Appl. 563, 302-312 (2019). MSC: 05C50 15A18 05C35 PDFBibTeX XMLCite \textit{S. Filipovski} and \textit{R. Jajcay}, Linear Algebra Appl. 563, 302--312 (2019; Zbl 1405.05100) Full Text: DOI
Liu, Jianping; Wu, Xianzhang; Chen, Jinsong; Liu, Bolian The \(A_{\alpha}\) spectral radius characterization of some digraphs. (English) Zbl 1405.05106 Linear Algebra Appl. 563, 63-74 (2019). MSC: 05C50 05C20 PDFBibTeX XMLCite \textit{J. Liu} et al., Linear Algebra Appl. 563, 63--74 (2019; Zbl 1405.05106) Full Text: DOI
Gao, Wei Zero-nonzero patterns of order \(n\geq 4\) do not require \(\mathbb{H}_n^\ast\). (English) Zbl 1393.15042 Linear Algebra Appl. 554, 1-14 (2018). MSC: 15B35 15A18 05C50 05C20 PDFBibTeX XMLCite \textit{W. Gao}, Linear Algebra Appl. 554, 1--14 (2018; Zbl 1393.15042) Full Text: DOI
Lin, Jephian C.-H.; Olesky, D. D.; van den Driessche, P. Sign patterns requiring a unique inertia. (English) Zbl 1390.15105 Linear Algebra Appl. 546, 67-85 (2018). MSC: 15B35 15A18 05C50 PDFBibTeX XMLCite \textit{J. C. H. Lin} et al., Linear Algebra Appl. 546, 67--85 (2018; Zbl 1390.15105) Full Text: DOI
Tavakolipour, Hanieh; Shakeri, Fatemeh On tropical eigenvalues of tridiagonal Toeplitz matrices. (English) Zbl 1380.15025 Linear Algebra Appl. 539, 198-218 (2018). MSC: 15A80 15A18 15B05 14T05 PDFBibTeX XMLCite \textit{H. Tavakolipour} and \textit{F. Shakeri}, Linear Algebra Appl. 539, 198--218 (2018; Zbl 1380.15025) Full Text: DOI
Eastman, B.; Kim, I.-J.; Shader, B. L.; Vander Meulen, K. N. Corrigendum to: “Companion matrix patterns”. (English) Zbl 1417.15013 Linear Algebra Appl. 538, 225-227 (2018). MSC: 15A18 15B99 05C50 PDFBibTeX XMLCite \textit{B. Eastman} et al., Linear Algebra Appl. 538, 225--227 (2018; Zbl 1417.15013) Full Text: DOI
Liu, Yue The ray nonsingularity of certain uniformly random ray patterns. (English) Zbl 1376.15024 Linear Algebra Appl. 537, 302-317 (2018). MSC: 15B35 05C50 05C20 PDFBibTeX XMLCite \textit{Y. Liu}, Linear Algebra Appl. 537, 302--317 (2018; Zbl 1376.15024) Full Text: DOI
Dalfó, C. The spectra of subKautz and cyclic Kautz digraphs. (English) Zbl 1370.05079 Linear Algebra Appl. 531, 210-219 (2017). MSC: 05C20 05C50 PDFBibTeX XMLCite \textit{C. Dalfó}, Linear Algebra Appl. 531, 210--219 (2017; Zbl 1370.05079) Full Text: DOI Link
Momihara, Koji; Suda, Sho Upper bounds on the size of transitive subtournaments in digraphs. (English) Zbl 1367.05090 Linear Algebra Appl. 530, 230-243 (2017). MSC: 05C20 05C50 05C31 PDFBibTeX XMLCite \textit{K. Momihara} and \textit{S. Suda}, Linear Algebra Appl. 530, 230--243 (2017; Zbl 1367.05090) Full Text: DOI arXiv
Dalfó, C. Iterated line digraphs are asymptotically dense. (English) Zbl 1365.05169 Linear Algebra Appl. 529, 391-396 (2017). MSC: 05C50 05C20 05C35 PDFBibTeX XMLCite \textit{C. Dalfó}, Linear Algebra Appl. 529, 391--396 (2017; Zbl 1365.05169) Full Text: DOI Link
Akbari, Saieed; Ghodrati, Amir Hossein; Hosseinzadeh, Mohammad Ali Imprimitivity index of the adjacency matrix of digraphs. (English) Zbl 1353.05077 Linear Algebra Appl. 517, 1-10 (2017). MSC: 05C50 05C20 15A18 PDFBibTeX XMLCite \textit{S. Akbari} et al., Linear Algebra Appl. 517, 1--10 (2017; Zbl 1353.05077) Full Text: DOI
Berliner, Adam H.; Olesky, D. D.; van den Driessche, P. Sets of refined inertias of zero-nonzero patterns. (English) Zbl 1352.15035 Linear Algebra Appl. 516, 243-263 (2017). MSC: 15B35 15A18 05C50 05C20 PDFBibTeX XMLCite \textit{A. H. Berliner} et al., Linear Algebra Appl. 516, 243--263 (2017; Zbl 1352.15035) Full Text: DOI
Culos, G. J.; Olesky, D. D.; van den Driessche, P. Refined inertias of strongly connected orientations of the Petersen graph. (English) Zbl 1345.05056 Linear Algebra Appl. 507, 322-343 (2016). MSC: 05C50 05C40 05C20 15B35 PDFBibTeX XMLCite \textit{G. J. Culos} et al., Linear Algebra Appl. 507, 322--343 (2016; Zbl 1345.05056) Full Text: DOI
Kalita, Debajit Extremizing first eigenvalue of 3-colored digraphs made with given blocks. (English) Zbl 1338.05162 Linear Algebra Appl. 503, 83-99 (2016). MSC: 05C50 05C05 15A18 PDFBibTeX XMLCite \textit{D. Kalita}, Linear Algebra Appl. 503, 83--99 (2016; Zbl 1338.05162) Full Text: DOI
Dalfó, C.; Fiol, M. A. Cospectral digraphs from locally line digraphs. (English) Zbl 1334.05050 Linear Algebra Appl. 500, 52-62 (2016). MSC: 05C20 05C76 05C50 PDFBibTeX XMLCite \textit{C. Dalfó} and \textit{M. A. Fiol}, Linear Algebra Appl. 500, 52--62 (2016; Zbl 1334.05050) Full Text: DOI arXiv
Shao, Yanling; Gao, Yubin The scrambling index set of primitive minimally strong digraphs. (English) Zbl 1334.05052 Linear Algebra Appl. 500, 1-14 (2016). MSC: 05C20 05C50 PDFBibTeX XMLCite \textit{Y. Shao} and \textit{Y. Gao}, Linear Algebra Appl. 500, 1--14 (2016; Zbl 1334.05052) Full Text: DOI
Tam, Bit-Shun; Huang, Peng-Ruei Nonnegative square roots of matrices. (English) Zbl 1335.15042 Linear Algebra Appl. 498, 404-440 (2016). MSC: 15B48 05C20 05C25 05C76 PDFBibTeX XMLCite \textit{B.-S. Tam} and \textit{P.-R. Huang}, Linear Algebra Appl. 498, 404--440 (2016; Zbl 1335.15042) Full Text: DOI
Li, Chaoqian; Li, Yaotang Relationships between Brauer-type eigenvalue inclusion sets and a Brualdi-type eigenvalue inclusion set for tensors. (English) Zbl 1382.15041 Linear Algebra Appl. 496, 71-80 (2016). MSC: 15A69 15A18 15A42 PDFBibTeX XMLCite \textit{C. Li} and \textit{Y. Li}, Linear Algebra Appl. 496, 71--80 (2016; Zbl 1382.15041) Full Text: DOI
Zhou, Jiang; Sun, Lizhu; Wei, Yuanpeng; Bu, Changjiang Some characterizations of \(M\)-tensors via digraphs. (English) Zbl 1333.15014 Linear Algebra Appl. 495, 190-198 (2016). MSC: 15A69 05C20 05C50 15A18 PDFBibTeX XMLCite \textit{J. Zhou} et al., Linear Algebra Appl. 495, 190--198 (2016; Zbl 1333.15014) Full Text: DOI
Fang, Wei; Gao, Yubin; Shao, Yanling; Gao, Wei; Jing, Guangming; Li, Zhongshan The generalized competition indices of primitive minimally strong digraphs. (English) Zbl 1329.05129 Linear Algebra Appl. 493, 206-226 (2016). MSC: 05C20 05C50 05C12 05C38 PDFBibTeX XMLCite \textit{W. Fang} et al., Linear Algebra Appl. 493, 206--226 (2016; Zbl 1329.05129) Full Text: DOI
Mohar, Bojan Hermitian adjacency spectrum and switching equivalence of mixed graphs. (English) Zbl 1327.05215 Linear Algebra Appl. 489, 324-340 (2016). MSC: 05C50 PDFBibTeX XMLCite \textit{B. Mohar}, Linear Algebra Appl. 489, 324--340 (2016; Zbl 1327.05215) Full Text: DOI arXiv
Bu, Changjiang; Wei, Yuanpeng; Sun, Lizhu; Zhou, Jiang Brualdi-type eigenvalue inclusion sets of tensors. (English) Zbl 1320.15019 Linear Algebra Appl. 480, 168-175 (2015). MSC: 15A69 05C20 15A18 PDFBibTeX XMLCite \textit{C. Bu} et al., Linear Algebra Appl. 480, 168--175 (2015; Zbl 1320.15019) Full Text: DOI
Yuan, Pingzhi; He, Zilong; You, Lihua Further results and some open problems on the primitive degree of nonnegative tensors. (English) Zbl 1314.05122 Linear Algebra Appl. 480, 72-92 (2015). MSC: 05C50 05C20 05D05 15-02 15A69 PDFBibTeX XMLCite \textit{P. Yuan} et al., Linear Algebra Appl. 480, 72--92 (2015; Zbl 1314.05122) Full Text: DOI arXiv
Sergeev, Sergeĭ Extremals of the supereigenvector cone in max algebra: a combinatorial description. (English) Zbl 1316.15031 Linear Algebra Appl. 479, 106-117 (2015). MSC: 15A80 15A18 05C20 PDFBibTeX XMLCite \textit{S. Sergeev}, Linear Algebra Appl. 479, 106--117 (2015; Zbl 1316.15031) Full Text: DOI arXiv
Hou, Yaoping; Chen, Jing Inverse of the distance matrix of a cactoid digraph. (English) Zbl 1312.05083 Linear Algebra Appl. 475, 1-10 (2015). MSC: 05C50 15A09 15A15 PDFBibTeX XMLCite \textit{Y. Hou} and \textit{J. Chen}, Linear Algebra Appl. 475, 1--10 (2015; Zbl 1312.05083) Full Text: DOI
Liu, Yue Ray nonsingularity of cycle tree matrices. (English) Zbl 1302.05070 Linear Algebra Appl. 465, 275-282 (2015). MSC: 05C20 05C05 05C38 15A06 15A04 PDFBibTeX XMLCite \textit{Y. Liu}, Linear Algebra Appl. 465, 275--282 (2015; Zbl 1302.05070) Full Text: DOI
Hong, Wenxi; You, Lihua Spectral radius and signless Laplacian spectral radius of strongly connected digraphs. (English) Zbl 1295.05115 Linear Algebra Appl. 457, 93-113 (2014). MSC: 05C20 05C50 05C40 15A18 PDFBibTeX XMLCite \textit{W. Hong} and \textit{L. You}, Linear Algebra Appl. 457, 93--113 (2014; Zbl 1295.05115) Full Text: DOI arXiv
Cruz, Roberto; Giraldo, Hernán; Rada, Juan An upper bound for the energy of radial digraphs. (English) Zbl 1283.05164 Linear Algebra Appl. 442, 75-81 (2014). MSC: 05C50 05C20 05C35 05C90 PDFBibTeX XMLCite \textit{R. Cruz} et al., Linear Algebra Appl. 442, 75--81 (2014; Zbl 1283.05164) Full Text: DOI
Rada, Juan; Gutman, Ivan; Cruz, Roberto The energy of directed hexagonal systems. (English) Zbl 1283.05167 Linear Algebra Appl. 439, No. 7, 1825-1833 (2013). MSC: 05C50 05C20 PDFBibTeX XMLCite \textit{J. Rada} et al., Linear Algebra Appl. 439, No. 7, 1825--1833 (2013; Zbl 1283.05167) Full Text: DOI
Liu, Yue; Shan, Hai-Ying A forbidden structure of ray nonsingular matrices. (English) Zbl 1283.15094 Linear Algebra Appl. 439, No. 8, 2367-2380 (2013). MSC: 15B35 15A09 05C20 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{H.-Y. Shan}, Linear Algebra Appl. 439, No. 8, 2367--2380 (2013; Zbl 1283.15094) Full Text: DOI
You, Lihua; Shen, Jian A survey on bases of sign pattern matrices. (English) Zbl 1283.15095 Linear Algebra Appl. 439, No. 2, 346-357 (2013). MSC: 15B35 15A03 05C20 PDFBibTeX XMLCite \textit{L. You} and \textit{J. Shen}, Linear Algebra Appl. 439, No. 2, 346--357 (2013; Zbl 1283.15095) Full Text: DOI
Drury, S. W.; Lin, Huiqiu Extremal digraphs with given clique number. (English) Zbl 1282.05050 Linear Algebra Appl. 439, No. 2, 328-345 (2013). MSC: 05C20 05C50 15A15 PDFBibTeX XMLCite \textit{S. W. Drury} and \textit{H. Lin}, Linear Algebra Appl. 439, No. 2, 328--345 (2013; Zbl 1282.05050) Full Text: DOI
Butler, Brian K.; Siegel, Paul H. Sharp bounds on the spectral radius of nonnegative matrices and digraphs. (English) Zbl 1282.05097 Linear Algebra Appl. 439, No. 5, 1468-1478 (2013). MSC: 05C50 05C20 PDFBibTeX XMLCite \textit{B. K. Butler} and \textit{P. H. Siegel}, Linear Algebra Appl. 439, No. 5, 1468--1478 (2013; Zbl 1282.05097) Full Text: DOI arXiv
Banaji, Murad; Burbanks, Andrew A graph-theoretic condition for irreducibility of a set of cone preserving matrices. (English) Zbl 1281.15037 Linear Algebra Appl. 438, No. 11, 4103-4113 (2013). MSC: 15B48 15B35 05C50 PDFBibTeX XMLCite \textit{M. Banaji} and \textit{A. Burbanks}, Linear Algebra Appl. 438, No. 11, 4103--4113 (2013; Zbl 1281.15037) Full Text: DOI arXiv
Deng, Aiping; Kelmans, Alexander Spectra of digraph transformations. (English) Zbl 1282.05108 Linear Algebra Appl. 439, No. 1, 106-132 (2013). MSC: 05C50 PDFBibTeX XMLCite \textit{A. Deng} and \textit{A. Kelmans}, Linear Algebra Appl. 439, No. 1, 106--132 (2013; Zbl 1282.05108) Full Text: DOI arXiv
Kalita, D. Spectral integral variation and unicyclic 3-colored digraphs with second smallest eigenvalue 1. (English) Zbl 1282.05123 Linear Algebra Appl. 439, No. 1, 55-65 (2013). MSC: 05C50 05C05 15A18 PDFBibTeX XMLCite \textit{D. Kalita}, Linear Algebra Appl. 439, No. 1, 55--65 (2013; Zbl 1282.05123) Full Text: DOI
Tian, Gui-Xian; Cui, Shu-Yu On upper bounds for the energy of digraphs. (English) Zbl 1279.05038 Linear Algebra Appl. 438, No. 12, 4742-4749 (2013). MSC: 05C35 05C20 05C50 05C90 PDFBibTeX XMLCite \textit{G.-X. Tian} and \textit{S.-Y. Cui}, Linear Algebra Appl. 438, No. 12, 4742--4749 (2013; Zbl 1279.05038) Full Text: DOI
Molnárová, M.; Myšková, H.; Plavka, J. The robustness of interval fuzzy matrices. (English) Zbl 1280.15015 Linear Algebra Appl. 438, No. 8, 3350-3364 (2013). Reviewer: Süleyman Güler (Aydin) MSC: 15B15 08A72 90B35 90C47 15A80 05C20 65G30 PDFBibTeX XMLCite \textit{M. Molnárová} et al., Linear Algebra Appl. 438, No. 8, 3350--3364 (2013; Zbl 1280.15015) Full Text: DOI
Liu, Muhuo; You, Lihua; Liu, Bolian The proof of a conjecture on the Lewin number of primitive non-powerful signed digraphs. (English) Zbl 1258.05044 Linear Algebra Appl. 438, No. 5, 2366-2377 (2013). MSC: 05C22 15A09 15B48 PDFBibTeX XMLCite \textit{M. Liu} et al., Linear Algebra Appl. 438, No. 5, 2366--2377 (2013; Zbl 1258.05044) Full Text: DOI
Kim, Hwa Kyung Generalized competition index of an irreducible Boolean matrix. (English) Zbl 1269.15032 Linear Algebra Appl. 438, No. 6, 2747-2756 (2013). Reviewer: Hans Havlicek (Wien) MSC: 15B34 05C50 05C20 PDFBibTeX XMLCite \textit{H. K. Kim}, Linear Algebra Appl. 438, No. 6, 2747--2756 (2013; Zbl 1269.15032) Full Text: DOI
Guo, Guangquan; Liu, Juan Some results on the spectral radius of generalized \(\infty\) and \(\theta\)-digraphs. (English) Zbl 1247.05136 Linear Algebra Appl. 437, No. 9, 2200-2208 (2012). MSC: 05C50 05C20 05C35 PDFBibTeX XMLCite \textit{G. Guo} and \textit{J. Liu}, Linear Algebra Appl. 437, No. 9, 2200--2208 (2012; Zbl 1247.05136) Full Text: DOI
Grundy, D. A.; Olesky, D. D.; van den Driessche, P. Constructions for potentially stable sign patterns. (English) Zbl 1245.15030 Linear Algebra Appl. 436, No. 12, 4473-4488 (2012). Reviewer: Süleyman Güler (Aydin) MSC: 15B35 15A18 05C22 05C20 05C50 PDFBibTeX XMLCite \textit{D. A. Grundy} et al., Linear Algebra Appl. 436, No. 12, 4473--4488 (2012; Zbl 1245.15030) Full Text: DOI
Lin, Huiqiu; Shu, Jinlong A note on the spectral characterization of strongly connected bicyclic digraphs. (English) Zbl 1238.05163 Linear Algebra Appl. 436, No. 7, 2524-2530 (2012). MSC: 05C50 05C20 PDFBibTeX XMLCite \textit{H. Lin} and \textit{J. Shu}, Linear Algebra Appl. 436, No. 7, 2524--2530 (2012; Zbl 1238.05163) Full Text: DOI
Gong, Shi-Cai; Xu, Guang-Hui 3-regular digraphs with optimum skew energy. (English) Zbl 1235.05087 Linear Algebra Appl. 436, No. 3, 465-471 (2012). Reviewer: Dragan Stevanović (Niš) MSC: 05C50 05C20 15A18 PDFBibTeX XMLCite \textit{S.-C. Gong} and \textit{G.-H. Xu}, Linear Algebra Appl. 436, No. 3, 465--471 (2012; Zbl 1235.05087) Full Text: DOI
Bapat, R. B.; Kalita, D.; Pati, S. On weighted directed graphs. (English) Zbl 1229.05198 Linear Algebra Appl. 436, No. 1, 99-111 (2012). MSC: 05C50 05C20 05C05 15A18 PDFBibTeX XMLCite \textit{R. B. Bapat} et al., Linear Algebra Appl. 436, No. 1, 99--111 (2012; Zbl 1229.05198) Full Text: DOI
Liu, Yue; Shao, Jia-Yu; Ren, Ling-Zhi Characterization of ray pattern matrix whose determinantal region has two components after deleting the origin. (English) Zbl 1226.15021 Linear Algebra Appl. 435, No. 12, 3139-3150 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15B35 15A09 15A15 05C20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Linear Algebra Appl. 435, No. 12, 3139--3150 (2011; Zbl 1226.15021) Full Text: DOI
Tian, Gui-Xian On the skew energy of orientations of hypercubes. (English) Zbl 1221.05243 Linear Algebra Appl. 435, No. 9, 2140-2149 (2011). MSC: 05C50 05C20 05C90 05C65 PDFBibTeX XMLCite \textit{G.-X. Tian}, Linear Algebra Appl. 435, No. 9, 2140--2149 (2011; Zbl 1221.05243) Full Text: DOI
Sato, Iwao New proofs for Levine’s theorems. (English) Zbl 1221.05241 Linear Algebra Appl. 435, No. 5, 943-952 (2011). MSC: 05C50 05C05 05C20 15A15 PDFBibTeX XMLCite \textit{I. Sato}, Linear Algebra Appl. 435, No. 5, 943--952 (2011; Zbl 1221.05241) Full Text: DOI
Deaett, Louis The minimum semidefinite rank of a triangle-free graph. (English) Zbl 1216.05073 Linear Algebra Appl. 434, No. 8, 1945-1955 (2011). MSC: 05C50 05C38 05C20 PDFBibTeX XMLCite \textit{L. Deaett}, Linear Algebra Appl. 434, No. 8, 1945--1955 (2011; Zbl 1216.05073) Full Text: DOI
You, Lihua; Wu, Yuhan Primitive non-powerful symmetric loop-free signed digraphs with given base and minimum number of arcs. (English) Zbl 1204.05051 Linear Algebra Appl. 434, No. 5, 1215-1227 (2011). MSC: 05C20 05C22 05C50 15A09 15B48 PDFBibTeX XMLCite \textit{L. You} and \textit{Y. Wu}, Linear Algebra Appl. 434, No. 5, 1215--1227 (2011; Zbl 1204.05051) Full Text: DOI
Huang, Yufei; Liu, Bolian Generalized scrambling indices of a primitive digraph. (English) Zbl 1209.05109 Linear Algebra Appl. 433, No. 11-12, 1798-1808 (2010). MSC: 05C20 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{B. Liu}, Linear Algebra Appl. 433, No. 11--12, 1798--1808 (2010; Zbl 1209.05109) Full Text: DOI
Belardo, Francesco; Marzi, Enzo M. Li; Simić, Slobodan K. Combinatorial approach for computing the characteristic polynomial of a matrix. (English) Zbl 1211.05069 Linear Algebra Appl. 433, No. 8-10, 1513-1523 (2010). MSC: 05C50 05C20 05C22 15A18 PDFBibTeX XMLCite \textit{F. Belardo} et al., Linear Algebra Appl. 433, No. 8--10, 1513--1523 (2010; Zbl 1211.05069) Full Text: DOI
Chen, Shexi; Liu, Bolian The scrambling index of symmetric primitive matrices. (English) Zbl 1204.15040 Linear Algebra Appl. 433, No. 6, 1110-1126 (2010). Reviewer: Hans Havlicek (Wien) MSC: 15B48 05C20 05C50 PDFBibTeX XMLCite \textit{S. Chen} and \textit{B. Liu}, Linear Algebra Appl. 433, No. 6, 1110--1126 (2010; Zbl 1204.15040) Full Text: DOI
Cheng, Bo; Liu, Bolian Primitive zero-symmetric sign pattern matrices with the maximum base. (English) Zbl 1193.15029 Linear Algebra Appl. 433, No. 2, 365-379 (2010). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15B35 15A09 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{B. Liu}, Linear Algebra Appl. 433, No. 2, 365--379 (2010; Zbl 1193.15029) Full Text: DOI
Gudiño, E.; Rada, J. A lower bound for the spectral radius of a digraph. (English) Zbl 1225.05163 Linear Algebra Appl. 433, No. 1, 233-240 (2010). MSC: 05C50 05C20 05C90 05C35 15A18 PDFBibTeX XMLCite \textit{E. Gudiño} and \textit{J. Rada}, Linear Algebra Appl. 433, No. 1, 233--240 (2010; Zbl 1225.05163) Full Text: DOI
Kim, Hwa Kyung Generalized competition index of a primitive digraph. (English) Zbl 1217.05101 Linear Algebra Appl. 433, No. 1, 72-79 (2010). MSC: 05C20 05C50 15B48 PDFBibTeX XMLCite \textit{H. K. Kim}, Linear Algebra Appl. 433, No. 1, 72--79 (2010; Zbl 1217.05101) Full Text: DOI
Mohar, Bojan Eigenvalues and colorings of digraphs. (English) Zbl 1218.05097 Linear Algebra Appl. 432, No. 9, 2273-2277 (2010). MSC: 05C50 05C20 05C15 15B48 15A18 PDFBibTeX XMLCite \textit{B. Mohar}, Linear Algebra Appl. 432, No. 9, 2273--2277 (2010; Zbl 1218.05097) Full Text: DOI
Rada, Juan Lower bounds for the energy of digraphs. (English) Zbl 1227.05186 Linear Algebra Appl. 432, No. 9, 2174-2180 (2010). MSC: 05C50 05C20 05C35 05C90 15A18 PDFBibTeX XMLCite \textit{J. Rada}, Linear Algebra Appl. 432, No. 9, 2174--2180 (2010; Zbl 1227.05186) Full Text: DOI
Adiga, C.; Balakrishnan, R.; So, Wasin The skew energy of a digraph. (English) Zbl 1217.05131 Linear Algebra Appl. 432, No. 7, 1825-1835 (2010). MSC: 05C50 05C20 PDFBibTeX XMLCite \textit{C. Adiga} et al., Linear Algebra Appl. 432, No. 7, 1825--1835 (2010; Zbl 1217.05131) Full Text: DOI
Liang, Chaohua; Liu, Bolian; Huang, Yufei The \(k\)th lower bases of primitive non-powerful signed digraphs. (English) Zbl 1221.05190 Linear Algebra Appl. 432, No. 7, 1680-1690 (2010). MSC: 05C22 05C20 15A09 15B48 PDFBibTeX XMLCite \textit{C. Liang} et al., Linear Algebra Appl. 432, No. 7, 1680--1690 (2010; Zbl 1221.05190) Full Text: DOI
Liu, Yue; Shao, Jia-Yu; Fang, Min The decomposability of the matrix with two determinantal regional components. (English) Zbl 1200.15017 Linear Algebra Appl. 431, No. 11, 2187-2194 (2009). MSC: 15B48 15A09 15A15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Linear Algebra Appl. 431, No. 11, 2187--2194 (2009; Zbl 1200.15017) Full Text: DOI
Catral, M.; Olesky, D. D.; van den Driessche, P. Allow problems concerning spectral properties of sign pattern matrices: a survey. (English) Zbl 1165.15009 Linear Algebra Appl. 430, No. 11-12, 3080-3094 (2009). MSC: 15A18 05B20 05C50 15B36 PDFBibTeX XMLCite \textit{M. Catral} et al., Linear Algebra Appl. 430, No. 11--12, 3080--3094 (2009; Zbl 1165.15009) Full Text: DOI
Gao, Yubin; Shao, Yanling On \(k\)-primitivity of two classes of digraphs. (English) Zbl 1169.05328 Linear Algebra Appl. 430, No. 11-12, 2922-2928 (2009). MSC: 05C20 05C50 05C15 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Y. Shao}, Linear Algebra Appl. 430, No. 11--12, 2922--2928 (2009; Zbl 1169.05328) Full Text: DOI
Gao, Yubin; Shao, Yanling Generalized exponents of primitive two-colored digraphs. (English) Zbl 1171.05018 Linear Algebra Appl. 430, No. 5-6, 1550-1565 (2009). Reviewer: Ko-Wei Lih (Nankang) MSC: 05C15 05C20 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Y. Shao}, Linear Algebra Appl. 430, No. 5--6, 1550--1565 (2009; Zbl 1171.05018) Full Text: DOI
Akelbek, Mahmud; Kirkland, Steve Coefficients of ergodicity and the scrambling index. (English) Zbl 1167.05030 Linear Algebra Appl. 430, No. 4, 1111-1130 (2009). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 05C20 05C50 15B51 15A42 PDFBibTeX XMLCite \textit{M. Akelbek} and \textit{S. Kirkland}, Linear Algebra Appl. 430, No. 4, 1111--1130 (2009; Zbl 1167.05030) Full Text: DOI Link
Akelbek, Mahmud; Kirkland, Steve Primitive digraphs with the largest scrambling index. (English) Zbl 1168.05025 Linear Algebra Appl. 430, No. 4, 1099-1110 (2009). MSC: 05C20 05C38 PDFBibTeX XMLCite \textit{M. Akelbek} and \textit{S. Kirkland}, Linear Algebra Appl. 430, No. 4, 1099--1110 (2009; Zbl 1168.05025) Full Text: DOI Link
Shivakumar, P. N.; Sivakumar, K. C. A review of infinite matrices and their applications. (English) Zbl 1168.15023 Linear Algebra Appl. 430, No. 4, 976-998 (2009). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 15B57 15-02 15A18 15A09 34B30 65L10 35P05 65N25 PDFBibTeX XMLCite \textit{P. N. Shivakumar} and \textit{K. C. Sivakumar}, Linear Algebra Appl. 430, No. 4, 976--998 (2009; Zbl 1168.15023) Full Text: DOI
Rada, Juan The McClelland inequality for the energy of digraphs. (English) Zbl 1151.05026 Linear Algebra Appl. 430, No. 2-3, 800-804 (2009). MSC: 05C35 05C50 05C90 PDFBibTeX XMLCite \textit{J. Rada}, Linear Algebra Appl. 430, No. 2--3, 800--804 (2009; Zbl 1151.05026) Full Text: DOI
Ma, Hongping Bounds on the local bases of primitive, non-powerful, minimally strong signed digraphs. (English) Zbl 1151.05020 Linear Algebra Appl. 430, No. 2-3, 718-731 (2009). MSC: 05C20 05C22 15B48 PDFBibTeX XMLCite \textit{H. Ma}, Linear Algebra Appl. 430, No. 2--3, 718--731 (2009; Zbl 1151.05020) Full Text: DOI
Sato, Iwao The stochastic weighted complexity of a group covering of a digraph. (English) Zbl 1144.05322 Linear Algebra Appl. 429, No. 8-9, 1905-1914 (2008). MSC: 05C50 05C05 15A15 PDFBibTeX XMLCite \textit{I. Sato}, Linear Algebra Appl. 429, No. 8--9, 1905--1914 (2008; Zbl 1144.05322) Full Text: DOI
Comellas, F.; Dalfó, C.; Fiol, M. A.; Mitjana, M. The spectra of Manhattan street networks. (English) Zbl 1144.05316 Linear Algebra Appl. 429, No. 7, 1823-1839 (2008). MSC: 05C50 05C20 05C38 PDFBibTeX XMLCite \textit{F. Comellas} et al., Linear Algebra Appl. 429, No. 7, 1823--1839 (2008; Zbl 1144.05316) Full Text: DOI
Tan, Yijia On nilpotent matrices over antirings. (English) Zbl 1146.15017 Linear Algebra Appl. 429, No. 5-6, 1243-1253 (2008). MSC: 15B57 15B33 15A15 16S50 PDFBibTeX XMLCite \textit{Y. Tan}, Linear Algebra Appl. 429, No. 5--6, 1243--1253 (2008; Zbl 1146.15017) Full Text: DOI
Huang, Fengying; Liu, Bolian Exponents of a class of two-colored digraphs with two cycles. (English) Zbl 1149.05020 Linear Algebra Appl. 429, No. 2-3, 658-672 (2008). MSC: 05C20 05C15 05C35 PDFBibTeX XMLCite \textit{F. Huang} and \textit{B. Liu}, Linear Algebra Appl. 429, No. 2--3, 658--672 (2008; Zbl 1149.05020) Full Text: DOI
MacGillivray, G.; Nasserasr, S.; Olesky, D. D.; van den Driessche, P. Primitive digraphs with smallest large exponent. (English) Zbl 1138.05033 Linear Algebra Appl. 428, No. 7, 1740-1752 (2008). Reviewer: Wai-Kai Chen (Fremont) MSC: 05C20 05C50 PDFBibTeX XMLCite \textit{G. MacGillivray} et al., Linear Algebra Appl. 428, No. 7, 1740--1752 (2008; Zbl 1138.05033) Full Text: DOI
Jiang, Yunjiang; Mitchell, Lon H.; Narayan, Sivaram K. Unitary matrix digraphs and minimum semidefinite rank. (English) Zbl 1135.05037 Linear Algebra Appl. 428, No. 7, 1685-1695 (2008). MSC: 05C50 15A18 15B57 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Linear Algebra Appl. 428, No. 7, 1685--1695 (2008; Zbl 1135.05037) Full Text: DOI
Shao, Yanling; Gao, Yubin Exponents of 2-coloring of symmetric digraphs. (English) Zbl 1148.05303 Linear Algebra Appl. 428, No. 7, 1538-1550 (2008). MSC: 05C15 15A18 05C20 05C50 PDFBibTeX XMLCite \textit{Y. Shao} and \textit{Y. Gao}, Linear Algebra Appl. 428, No. 7, 1538--1550 (2008; Zbl 1148.05303) Full Text: DOI
Boros, Endre; Brualdi, Richard A.; Crama, Yves; Hoffman, A. J. Geršgorin variations. III: On a theme of Brualdi and Varga. (English) Zbl 1134.15006 Linear Algebra Appl. 428, No. 1, 14-19 (2008). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 05C50 PDFBibTeX XMLCite \textit{E. Boros} et al., Linear Algebra Appl. 428, No. 1, 14--19 (2008; Zbl 1134.15006) Full Text: DOI
You, Lihua; Shao, Jiayu; Shan, Haiying Bounds on the bases of irreducible generalized sign pattern matrices. (English) Zbl 1179.15034 Linear Algebra Appl. 427, No. 2-3, 285-300 (2007). MSC: 15B48 15A09 PDFBibTeX XMLCite \textit{L. You} et al., Linear Algebra Appl. 427, No. 2--3, 285--300 (2007; Zbl 1179.15034) Full Text: DOI
Horton, Matthew D. Ihara zeta functions of digraphs. (English) Zbl 1119.05067 Linear Algebra Appl. 425, No. 1, 130-142 (2007). MSC: 05C50 11M41 05C20 PDFBibTeX XMLCite \textit{M. D. Horton}, Linear Algebra Appl. 425, No. 1, 130--142 (2007; Zbl 1119.05067) Full Text: DOI