Breen, Jane; Brouwer, Carraugh; Catral, Minerva; Cavers, Michael; van den Driessche, Pauline; van der Meulen, Kevin N. The allow sequence of distinct eigenvalues for a sign pattern. (English) Zbl 07808044 Electron. J. Linear Algebra 40, 48-80 (2024). MSC: 15B35 15A18 05C50 PDFBibTeX XMLCite \textit{J. Breen} et al., Electron. J. Linear Algebra 40, 48--80 (2024; Zbl 07808044) Full Text: DOI
Furtado, Susana; Johnson, Charles Efficient vectors for block perturbed consistent matrices. (English) Zbl 07805918 SIAM J. Matrix Anal. Appl. 45, No. 1, 601-618 (2024). MSC: 90Cxx 90B50 91B06 05C20 15B48 15A18 PDFBibTeX XMLCite \textit{S. Furtado} and \textit{C. Johnson}, SIAM J. Matrix Anal. Appl. 45, No. 1, 601--618 (2024; Zbl 07805918) Full Text: DOI arXiv
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
Parsaei-Majd, Leila; Stanić, Zoran; Tayfeh-Rezaie, Behruz On weight-symmetric 3-coloured digraphs. (English) Zbl 1528.05029 Linear Multilinear Algebra 71, No. 17, 2744-2762 (2023). MSC: 05C15 05C22 05C20 05C76 05C50 15B57 PDFBibTeX XMLCite \textit{L. Parsaei-Majd} et al., Linear Multilinear Algebra 71, No. 17, 2744--2762 (2023; Zbl 1528.05029) Full Text: DOI
Dalfo, Cristina; Fiol, Miquel Àngel Moore mixed graphs from Cayley graphs. (English) Zbl 1514.05071 Electron. J. Graph Theory Appl. 11, No. 1, 183-195 (2023). MSC: 05C25 05C50 05C20 15A18 20C30 PDFBibTeX XMLCite \textit{C. Dalfo} and \textit{M. À. Fiol}, Electron. J. Graph Theory Appl. 11, No. 1, 183--195 (2023; Zbl 1514.05071) Full Text: DOI
Bravo, Diego; Cubría, Florencia; Fiori, Marcelo; Trevisan, Vilmar Characterization of digraphs with three complementarity eigenvalues. (English) Zbl 1516.05076 J. Algebr. Comb. 57, No. 4, 1173-1193 (2023). Reviewer: V. Yegnanarayanan (Chennai) MSC: 05C20 05C75 05C50 15A18 PDFBibTeX XMLCite \textit{D. Bravo} et al., J. Algebr. Comb. 57, No. 4, 1173--1193 (2023; Zbl 1516.05076) Full Text: DOI arXiv
Sokal, Alan D. Total positivity of some polynomial matrices that enumerate labeled trees and forests. I: Forests of rooted labeled trees. (English) Zbl 1507.05010 Monatsh. Math. 200, No. 2, 389-452 (2023). MSC: 05A15 05A19 05A20 05C05 05C30 05C78 15B05 15B36 15B48 30E05 44A60 PDFBibTeX XMLCite \textit{A. D. Sokal}, Monatsh. Math. 200, No. 2, 389--452 (2023; Zbl 1507.05010) Full Text: DOI arXiv
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
Liu, Guimin; Lv, Hongbin Bounds for spectral radius of nonnegative tensors using matrix-digragh-based approach. (English) Zbl 1513.15016 J. Ind. Manag. Optim. 19, No. 1, 105-116 (2023). MSC: 15A18 15A42 15A69 PDFBibTeX XMLCite \textit{G. Liu} and \textit{H. Lv}, J. Ind. Manag. Optim. 19, No. 1, 105--116 (2023; Zbl 1513.15016) Full Text: DOI
Gan, Luyining; Gao, Wei; Han, Jie Zero-nonzero tree patterns that allow \(\mathbb{S}_n^*\). (English) Zbl 1518.15035 Linear Multilinear Algebra 70, No. 22, 7347-7369 (2022). Reviewer: Carlos M. da Fonseca (Safat) MSC: 15B35 05C20 05B20 15A18 05C50 PDFBibTeX XMLCite \textit{L. Gan} et al., Linear Multilinear Algebra 70, No. 22, 7347--7369 (2022; Zbl 1518.15035) Full Text: DOI
Kalita, Debajit; Sarma, Kuldeep On the inverse of unicyclic 3-coloured digraphs. (English) Zbl 1512.05268 Linear Multilinear Algebra 70, No. 21, 6223-6239 (2022). MSC: 05C50 15A18 15A09 05C20 05C22 05C15 PDFBibTeX XMLCite \textit{D. Kalita} and \textit{K. Sarma}, Linear Multilinear Algebra 70, No. 21, 6223--6239 (2022; Zbl 1512.05268) Full Text: DOI
Xi, Weige; Wang, Ligong On the \(A_\alpha\) spectral radius of strongly connected digraphs. (English) Zbl 1507.05060 Oper. Matrices 16, No. 4, 1005-1026 (2022). MSC: 05C50 15A18 05C20 PDFBibTeX XMLCite \textit{W. Xi} and \textit{L. Wang}, Oper. Matrices 16, No. 4, 1005--1026 (2022; Zbl 1507.05060) Full Text: DOI arXiv
Liu, Yue; Chen, Ailian; Lin, Fenggen Threshold function of ray nonsingularity for uniformly random ray pattern matrices. (English) Zbl 1512.15042 Linear Multilinear Algebra 70, No. 20, 5708-5715 (2022). Reviewer: Mohammad Reza Oboudi (Shiraz) MSC: 15B52 05C50 05C80 05C20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Linear Multilinear Algebra 70, No. 20, 5708--5715 (2022; Zbl 1512.15042) Full Text: DOI
Komatsu, Takashi; Konno, Norio; Sato, Iwao A weighted alternating zeta function of a digraph. (English) Zbl 1505.05057 Linear Multilinear Algebra 70, No. 20, 5214-5236 (2022). MSC: 05C20 05C50 15A15 11M06 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Linear Multilinear Algebra 70, No. 20, 5214--5236 (2022; Zbl 1505.05057) Full Text: DOI
Fan, Naqi; Zhang, Lijun; Zhang, Shenggui; Liu, Jiuqiang Matching algorithms of minimum input selection for structural controllability based on semi-tensor product of matrices. (English) Zbl 1504.93025 J. Syst. Sci. Complex. 35, No. 5, 1808-1823 (2022). MSC: 93B05 93B70 15A72 PDFBibTeX XMLCite \textit{N. Fan} et al., J. Syst. Sci. Complex. 35, No. 5, 1808--1823 (2022; Zbl 1504.93025) Full Text: DOI
Ganie, Hilal A.; Baghipur, Maryam On the generalized adjacency spectral radius of digraphs. (English) Zbl 1504.05162 Linear Multilinear Algebra 70, No. 18, 3497-3510 (2022). MSC: 05C50 05C20 05C12 15A18 PDFBibTeX XMLCite \textit{H. A. Ganie} and \textit{M. Baghipur}, Linear Multilinear Algebra 70, No. 18, 3497--3510 (2022; Zbl 1504.05162) Full Text: DOI
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
Kalita, Debajit; Sarma, Kuldeep Unicyclic 3-colored digraphs with bicyclic inverses. (English) Zbl 1497.05150 Electron. J. Linear Algebra 38, 519-530 (2022). MSC: 05C50 05C15 15A18 15A09 05C20 05C22 PDFBibTeX XMLCite \textit{D. Kalita} and \textit{K. Sarma}, Electron. J. Linear Algebra 38, 519--530 (2022; Zbl 1497.05150) Full Text: Link
Nickerson, Andrew; Paparella, Pietro Jordan chains of \(h\)-cyclic matrices. II. (English) Zbl 1498.15012 Electron. J. Linear Algebra 38, 486-493 (2022). MSC: 15A20 15A21 05C50 05C20 PDFBibTeX XMLCite \textit{A. Nickerson} and \textit{P. Paparella}, Electron. J. Linear Algebra 38, 486--493 (2022; Zbl 1498.15012) Full Text: arXiv Link
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
Chat, Bilal A.; Ganie, Hilal A.; Bhat, Altaf A.; Bhat, Mohd Y.; Lone, Mehraj A. On the skew Laplacian spectral radius of a digraph. (English) Zbl 1493.05187 Discrete Math. Algorithms Appl. 14, No. 5, Article ID 2150155, 12 p. (2022). MSC: 05C50 05C12 05C20 15A18 PDFBibTeX XMLCite \textit{B. A. Chat} et al., Discrete Math. Algorithms Appl. 14, No. 5, Article ID 2150155, 12 p. (2022; Zbl 1493.05187) Full Text: DOI
Cigler, Grega; Jerman, Marjan; Wojciechowski, Piotr J. Transitive systems and conclusive partial orders. (English) Zbl 07510694 Discrete Appl. Math. 314, 129-141 (2022). MSC: 06A07 05C20 15A30 PDFBibTeX XMLCite \textit{G. Cigler} et al., Discrete Appl. Math. 314, 129--141 (2022; Zbl 07510694) Full Text: DOI
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
Komatsu, Takashi; Konno, Norio; Sato, Iwao A Bartholdi alternating zeta function of a digraph. (English) Zbl 1503.05077 Yokohama Math. J. 67, 49-72 (2021). MSC: 05C50 15A15 05C20 11M41 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Yokohama Math. J. 67, 49--72 (2021; Zbl 1503.05077) Full Text: DOI
De Terán, Fernando; Hernando, Carla Corrigendum to: “A note on generalized companion pencils in the monomial basis”. (English) Zbl 1476.15023 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 182, 5 p. (2021). MSC: 15A22 15A21 05C20 05C50 PDFBibTeX XMLCite \textit{F. De Terán} and \textit{C. Hernando}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 182, 5 p. (2021; Zbl 1476.15023) Full Text: DOI
Sinha, Kalyan The \(Q_0\)-matrix completion problem. (English) Zbl 1488.15010 Arab J. Math. Sci. 27, No. 1, 119-128 (2021). MSC: 15A12 05C50 PDFBibTeX XMLCite \textit{K. Sinha}, Arab J. Math. Sci. 27, No. 1, 119--128 (2021; Zbl 1488.15010) Full Text: DOI
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
Ganie, Hilal A.; Pirzada, S.; Chat, Bilal A.; Li, X. On skew Laplacian spectrum and energy of digraphs. (English) Zbl 1458.05142 Asian-Eur. J. Math. 14, No. 4, Article ID 2150051, 15 p. (2021). MSC: 05C50 05C20 15B36 PDFBibTeX XMLCite \textit{H. A. Ganie} et al., Asian-Eur. J. Math. 14, No. 4, Article ID 2150051, 15 p. (2021; Zbl 1458.05142) Full Text: DOI
Mitsuhashi, Hideo; Morita, Hideaki; Sato, Iwao A new generalized Bartholdi zeta function for a digraph. (English) Zbl 1461.05132 Linear Multilinear Algebra 69, No. 6, 1045-1060 (2021). MSC: 05C50 05C20 05C70 15A15 11M41 PDFBibTeX XMLCite \textit{H. Mitsuhashi} et al., Linear Multilinear Algebra 69, No. 6, 1045--1060 (2021; Zbl 1461.05132) Full Text: DOI
Filipovski, Slobodan An alternate proof of the monotonicity of the number of positive entries in nonnegative matrix powers. (English) Zbl 1454.05044 Art Discrete Appl. Math. 4, No. 1, Paper No. P1.05, 7 p. (2021). MSC: 05C20 05C81 15B48 PDFBibTeX XMLCite \textit{S. Filipovski}, Art Discrete Appl. Math. 4, No. 1, Paper No. P1.05, 7 p. (2021; Zbl 1454.05044) 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
Fomichëv, Vladimir Mikhaĭlovich Estimating nonlinearity characteristics for iterative transformations of a vector space. (Russian. English summary) Zbl 1493.15002 Diskretn. Anal. Issled. Oper. 27, No. 4, 131-151 (2020). MSC: 15A03 15A04 05C50 PDFBibTeX XMLCite \textit{V. M. Fomichëv}, Diskretn. Anal. Issled. Oper. 27, No. 4, 131--151 (2020; Zbl 1493.15002) Full Text: DOI MNR
Pirzada, S.; Ganie, Hilal A.; Chat, Bilal A. On real or integral skew Laplacian spectrum of digraphs. (English) Zbl 1486.05187 Oper. Matrices 14, No. 4, 795-813 (2020). Reviewer: Carlos Alfaro (Ciudad de México) MSC: 05C50 05C20 05C12 05C30 15A18 PDFBibTeX XMLCite \textit{S. Pirzada} et al., Oper. Matrices 14, No. 4, 795--813 (2020; Zbl 1486.05187) Full Text: DOI
Abudayah, Mohammad; Alomari, Omar; Sander, Torsten On the N-spectrum of oriented graphs. (English) Zbl 1475.05104 Open Math. 18, 486-495 (2020). MSC: 05C50 15A18 05C20 PDFBibTeX XMLCite \textit{M. Abudayah} et al., Open Math. 18, 486--495 (2020; Zbl 1475.05104) Full Text: DOI
Bhat, Mushtaq A.; Pirzada, S.; Rada, J. On spectra and real energy of complex weighted digraphs. (English) Zbl 1456.05098 Linear Multilinear Algebra 68, No. 5, 1064-1076 (2020). Reviewer: V. Lokesha (Bangalore) MSC: 05C50 05C22 05C76 15A18 05C20 PDFBibTeX XMLCite \textit{M. A. Bhat} et al., Linear Multilinear Algebra 68, No. 5, 1064--1076 (2020; Zbl 1456.05098) Full Text: DOI
Xi, Weige; Wang, Ligong The \(A_\alpha\) spectral radius and maximum outdegree of irregular digraphs. (English) Zbl 1506.05131 Discrete Optim. 38, Article ID 100592, 13 p. (2020). MSC: 05C50 15A18 05C20 PDFBibTeX XMLCite \textit{W. Xi} and \textit{L. Wang}, Discrete Optim. 38, Article ID 100592, 13 p. (2020; Zbl 1506.05131) Full Text: DOI
Tavakolipour, Hanieh; Shakeri, Fatemeh Asymptotics of the eigenvalues for exponentially parameterized pentadiagonal matrices. (English) Zbl 07286037 Numer. Linear Algebra Appl. 27, No. 6, e2330, 30 p. (2020). MSC: 15A18 15A80 PDFBibTeX XMLCite \textit{H. Tavakolipour} and \textit{F. Shakeri}, Numer. Linear Algebra Appl. 27, No. 6, e2330, 30 p. (2020; Zbl 07286037) Full Text: DOI
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
Huang, Zejun; Lyu, Zhenhua 0-1 matrices whose \(k\)-th powers have bounded entries. (English) Zbl 1455.15008 Linear Multilinear Algebra 68, No. 10, 1972-1982 (2020). Reviewer: V. Yegnanarayanan (Chennai) MSC: 15B34 15B36 05C35 05C50 05C20 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{Z. Lyu}, Linear Multilinear Algebra 68, No. 10, 1972--1982 (2020; Zbl 1455.15008) Full Text: DOI
Li, Jianping; Zhou, Bo On the trace norms of orientations of graphs. (English) Zbl 1448.05129 Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3513-3528 (2020). MSC: 05C50 05C20 15A18 PDFBibTeX XMLCite \textit{J. Li} and \textit{B. Zhou}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3513--3528 (2020; Zbl 1448.05129) Full Text: DOI
Gao, Wei; Shao, Yanling Zero-nonzero patterns that allow or require an inertia set related to dynamical systems. (English) Zbl 1452.15019 Electron. J. Linear Algebra 36, 503-510 (2020). Reviewer: Yansheng Wu (Nanjing) MSC: 15B36 15B35 05C20 15A18 05C50 PDFBibTeX XMLCite \textit{W. Gao} and \textit{Y. Shao}, Electron. J. Linear Algebra 36, 503--510 (2020; Zbl 1452.15019) Full Text: Link
Huang, Yufei Bounds on the structural indices of primitive non-powerful generalized sign pattern matrices. (Chinese. English summary) Zbl 1449.15078 J. South China Norm. Univ., Nat. Sci. Ed. 52, No. 1, 91-99 (2020). MSC: 15B35 05C20 05C22 PDFBibTeX XMLCite \textit{Y. Huang}, J. South China Norm. Univ., Nat. Sci. Ed. 52, No. 1, 91--99 (2020; Zbl 1449.15078) Full Text: DOI
Drury, Stephen Maximal orientations of graphs. (English) Zbl 1444.05090 Electron. J. Linear Algebra 36, 385-389 (2020). MSC: 05C50 05C20 05C40 05C85 15A18 PDFBibTeX XMLCite \textit{S. Drury}, Electron. J. Linear Algebra 36, 385--389 (2020; Zbl 1444.05090) Full Text: Link
Alomari, Omar; Abudayah, Mohammad; Sander, Torsten The non-negative spectrum of a digraph. (English) Zbl 1441.05132 Open Math. 18, 22-35 (2020). MSC: 05C50 05C20 15A18 PDFBibTeX XMLCite \textit{O. Alomari} et al., Open Math. 18, 22--35 (2020; Zbl 1441.05132) Full Text: DOI
Liu, Yue Forbidden structures for ray nonsingularity among cycle tree matrices without positive cycles. (English) Zbl 1441.05092 Discrete Math. 343, No. 7, Article ID 111889, 6 p. (2020). MSC: 05C20 05C38 15B35 15B48 PDFBibTeX XMLCite \textit{Y. Liu}, Discrete Math. 343, No. 7, Article ID 111889, 6 p. (2020; Zbl 1441.05092) 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; Wang, Ligong Some upper bounds for the signless Laplacian spectral radius of digraphs. (English) Zbl 1474.05270 Trans. Comb. 8, No. 4, 49-60 (2019). MSC: 05C50 15A18 05C20 PDFBibTeX XMLCite \textit{W. Xi} and \textit{L. Wang}, Trans. Comb. 8, No. 4, 49--60 (2019; Zbl 1474.05270) Full Text: DOI arXiv
Ganie, Hilal A. Bounds for the skew Laplacian (skew adjacency) spectral radius of a digraph. (English) Zbl 1463.05222 Trans. Comb. 8, No. 2, 1-12 (2019). MSC: 05C20 05C50 15B36 PDFBibTeX XMLCite \textit{H. A. Ganie}, Trans. Comb. 8, No. 2, 1--12 (2019; Zbl 1463.05222) Full Text: DOI
Cook, Nicholas The circular law for random regular digraphs. (English. French summary) Zbl 1432.15035 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 4, 2111-2167 (2019). Reviewer: David B. Penman (Colchester) MSC: 15B52 60B20 05C80 05C50 PDFBibTeX XMLCite \textit{N. Cook}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 4, 2111--2167 (2019; Zbl 1432.15035) Full Text: DOI arXiv Euclid
Zhou, Hui; Ding, Qi; Jia, Ruiling Inverse of the distance matrix of a weighted cactoid digraph. (English) Zbl 1433.05214 Appl. Math. Comput. 362, Article ID 124552, 11 p. (2019). MSC: 05C50 15A15 05C05 05C12 05C20 15A09 PDFBibTeX XMLCite \textit{H. Zhou} et al., Appl. Math. Comput. 362, Article ID 124552, 11 p. (2019; Zbl 1433.05214) Full Text: DOI
Dalfó, C.; Fiol, M. A.; Širáň, J. The spectra of lifted digraphs. (English) Zbl 1429.05083 J. Algebr. Comb. 50, No. 4, 419-426 (2019). MSC: 05C20 05C50 15A18 PDFBibTeX XMLCite \textit{C. Dalfó} et al., J. Algebr. Comb. 50, No. 4, 419--426 (2019; Zbl 1429.05083) Full Text: DOI arXiv Link
Berliner, Adam H.; DeBlieck, Derek; Shah, Deepak Sign pattern matrices that allow inertia \(\mathbb{S}_n\). (English) Zbl 1436.15038 Involve 12, No. 7, 1229-1240 (2019). Reviewer: Wai-Kai Chen (Fremont) MSC: 15B35 15A18 05C50 05C20 PDFBibTeX XMLCite \textit{A. H. Berliner} et al., Involve 12, No. 7, 1229--1240 (2019; Zbl 1436.15038) Full Text: DOI
Nej, Monimala; Reddy, A. Satyanarayana Exponents of primitive companion matrices. (English) Zbl 1423.15032 Rocky Mt. J. Math. 49, No. 5, 1633-1645 (2019). Reviewer: Francisco Marcellán (Leganes) MSC: 15B36 05C50 PDFBibTeX XMLCite \textit{M. Nej} and \textit{A. S. Reddy}, Rocky Mt. J. Math. 49, No. 5, 1633--1645 (2019; Zbl 1423.15032) Full Text: DOI Euclid
Kennedy-Cochran-Patrick, Arthur; Sergeev, Sergeĭ; Berežný, Štefan A bound for the rank-one transient of inhomogeneous matrix products in special case. (English) Zbl 1449.15064 Kybernetika 55, No. 1, 12-23 (2019). MSC: 15A80 16Y60 05C20 05C22 05C25 PDFBibTeX XMLCite \textit{A. Kennedy-Cochran-Patrick} et al., Kybernetika 55, No. 1, 12--23 (2019; Zbl 1449.15064) Full Text: DOI arXiv Link
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
Bhat, Mushtaq A.; Rada, Juan Lower bounds for the energy of weighted digraphs. (English) Zbl 1411.05106 Linear Multilinear Algebra 67, No. 4, 743-755 (2019). MSC: 05C22 05C20 05C50 05C76 15A18 PDFBibTeX XMLCite \textit{M. A. Bhat} and \textit{J. Rada}, Linear Multilinear Algebra 67, No. 4, 743--755 (2019; Zbl 1411.05106) Full Text: DOI
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
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
Chen, Shumei; Liu, Yue Minimum forbidden cycle chain for complex sign nonsingularity with positive cycles. (Chinese. English summary) Zbl 1424.15056 J. Fuzhou Univ., Nat. Sci. 46, No. 5, 606-612 (2018). MSC: 15B35 05C50 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Y. Liu}, J. Fuzhou Univ., Nat. Sci. 46, No. 5, 606--612 (2018; Zbl 1424.15056) Full Text: DOI
Fomichev, V. M.; Avezova, Ya. È.; Koreneva, A. M.; Kyazhin, S. N. Primitivity and local primitivity of digraphs and nonnegative matrices. (Russian, English) Zbl 1413.05229 Diskretn. Anal. Issled. Oper. 25, No. 3, 95-125 (2018); translation in J. Appl. Ind. Math. 12, No. 3, 453-469 (2018). MSC: 05C50 05C20 15B33 PDFBibTeX XMLCite \textit{V. M. Fomichev} et al., Diskretn. Anal. Issled. Oper. 25, No. 3, 95--125 (2018; Zbl 1413.05229); translation in J. Appl. Ind. Math. 12, No. 3, 453--469 (2018) Full Text: DOI
He, Jun; Liu, Yanmin; Ran, Jie Some new upper and lower bound on the spectral radius of the signless Laplacian matrix of a digraph. (Chinese. English summary) Zbl 1413.05234 J. Sichuan Norm. Univ., Nat. Sci. 41, No. 3, 348-350 (2018). MSC: 05C50 05C20 15A18 PDFBibTeX XMLCite \textit{J. He} et al., J. Sichuan Norm. Univ., Nat. Sci. 41, No. 3, 348--350 (2018; Zbl 1413.05234) Full Text: DOI
Berliner, Adam H.; Olesky, Dale D.; van den Driessche, Pauline Inertia sets allowed by matrix patterns. (English) Zbl 1398.15035 Electron. J. Linear Algebra 34, 343-355 (2018). MSC: 15B35 05C20 15A18 05C50 PDFBibTeX XMLCite \textit{A. H. Berliner} et al., Electron. J. Linear Algebra 34, 343--355 (2018; Zbl 1398.15035)
Kolotilina, L. Yu. An approach to bounding the spectral radius of a weighted digraph. (English. Russian original) Zbl 1394.15012 J. Math. Sci., New York 232, No. 6, 903-916 (2018); translation from Zap. Nauchn. Semin. POMI 463, 240-262 (2017). MSC: 15A42 05C50 PDFBibTeX XMLCite \textit{L. Yu. Kolotilina}, J. Math. Sci., New York 232, No. 6, 903--916 (2018; Zbl 1394.15012); translation from Zap. Nauchn. Semin. POMI 463, 240--262 (2017) Full Text: DOI
Buslov, V. A. On the characteristic polynomial and eigenvectors in terms of the tree-like structure of a digraph. (English. Russian original) Zbl 1394.15005 J. Math. Sci., New York 232, No. 1, 6-20 (2018); translation from Zap. Nauchn. Semin. POMI 450, 14-36 (2016). MSC: 15A18 05C50 05C05 15A15 PDFBibTeX XMLCite \textit{V. A. Buslov}, J. Math. Sci., New York 232, No. 1, 6--20 (2018; Zbl 1394.15005); translation from Zap. Nauchn. Semin. POMI 450, 14--36 (2016) Full Text: DOI
Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil; Tikhomirov, Konstantin On the spectral radius of a random matrix: an upper bound without fourth moment. (English) Zbl 1393.05130 Ann. Probab. 46, No. 4, 2268-2286 (2018). MSC: 05C20 15B52 47A10 05C80 PDFBibTeX XMLCite \textit{C. Bordenave} et al., Ann. Probab. 46, No. 4, 2268--2286 (2018; Zbl 1393.05130) Full Text: DOI arXiv Euclid
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
Mou, Gu-Fang The minimum rank problem for a linear directed 2-tree. (English) Zbl 1396.05076 J. Comb. Math. Comb. Comput. 105, 45-54 (2018). MSC: 05C50 15B35 05C05 15A03 15A18 05C20 PDFBibTeX XMLCite \textit{G.-F. Mou}, J. Comb. Math. Comb. Comput. 105, 45--54 (2018; Zbl 1396.05076)
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
Morača, Nenad Characterization of diagonally dominant H-matrices. (English) Zbl 1474.15090 Publ. Inst. Math., Nouv. Sér. 101(115), 65-73 (2017). MSC: 15B57 65F99 PDFBibTeX XMLCite \textit{N. Morača}, Publ. Inst. Math., Nouv. Sér. 101(115), 65--73 (2017; Zbl 1474.15090) Full Text: DOI arXiv
Sarma, Bhaba Kumar; Sinha, Kalyan The nonnegative \(Q\)-matrix completion problem. (English) Zbl 1425.05066 J. Algebra Comb. Discrete Struct. Appl. 4, No. 1, 61-74 (2017). MSC: 05C20 05C50 15A29 PDFBibTeX XMLCite \textit{B. K. Sarma} and \textit{K. Sinha}, J. Algebra Comb. Discrete Struct. Appl. 4, No. 1, 61--74 (2017; Zbl 1425.05066)
Li, Dan; Wang, Guoping; Meng, Jixiang On the distance signless Laplacian spectral radius of graphs and digraphs. (English) Zbl 1433.05202 Electron. J. Linear Algebra 32, 438-446 (2017). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{D. Li} et al., Electron. J. Linear Algebra 32, 438--446 (2017; Zbl 1433.05202) Full Text: DOI
Boussaïri, Abderrahim; Chergui, Brahim A transformation that preserves principal minors of skew-symmetric matrices. (English) Zbl 1375.15008 Electron. J. Linear Algebra 32, 131-137 (2017). MSC: 15A15 05C50 PDFBibTeX XMLCite \textit{A. Boussaïri} and \textit{B. Chergui}, Electron. J. Linear Algebra 32, 131--137 (2017; Zbl 1375.15008) Full Text: DOI arXiv
Sinha, Kalyan The sign symmetric \(Q\)-matrix completion problem. (English) Zbl 1380.15026 J. Calcutta Math. Soc. 13, No. 1, 59-76 (2017). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A83 05C20 05B20 PDFBibTeX XMLCite \textit{K. Sinha}, J. Calcutta Math. Soc. 13, No. 1, 59--76 (2017; Zbl 1380.15026)
He, Jun; Liu, Yan-Min; Tian, Jun-Kang; Liu, Xiang-Hu Some new sharp bounds for the spectral radius of a nonnegative matrix and its application. (English) Zbl 1373.05106 J. Inequal. Appl. 2017, Paper No. 260, 6 p. (2017). MSC: 05C50 05C35 05C20 15A18 PDFBibTeX XMLCite \textit{J. He} et al., J. Inequal. Appl. 2017, Paper No. 260, 6 p. (2017; Zbl 1373.05106) Full Text: DOI
Cook, Nicholas The circular law for random regular digraphs with random edge weights. (English) Zbl 1370.05078 Random Matrices Theory Appl. 6, No. 3, Article ID 1750012, 23 p. (2017). MSC: 05C20 05C80 15B52 60B20 PDFBibTeX XMLCite \textit{N. Cook}, Random Matrices Theory Appl. 6, No. 3, Article ID 1750012, 23 p. (2017; Zbl 1370.05078) Full Text: DOI arXiv
You, Li-hua; Chen, Fang; Shen, Jian; Zhou, Bo Generalized competition index of primitive digraphs. (English) Zbl 1367.05092 Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 475-484 (2017). MSC: 05C20 05C50 15B48 PDFBibTeX XMLCite \textit{L.-h. You} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 475--484 (2017; Zbl 1367.05092) Full Text: DOI
Koplewitz, Shaked Sandpile groups and the coeulerian property for random directed graphs. (English) Zbl 1366.05048 Adv. Appl. Math. 90, 145-159 (2017). MSC: 05C20 05C25 05C45 05C50 05C80 60C05 15B52 15B36 15B33 60B20 PDFBibTeX XMLCite \textit{S. Koplewitz}, Adv. Appl. Math. 90, 145--159 (2017; Zbl 1366.05048) Full Text: DOI arXiv
You, Lihua; Shu, Yujie; Yuan, Pingzhi Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and its applications. (English) Zbl 1356.05084 Linear Multilinear Algebra 65, No. 1, 113-128 (2017). MSC: 05C50 05C35 05C20 15A18 PDFBibTeX XMLCite \textit{L. You} et al., Linear Multilinear Algebra 65, No. 1, 113--128 (2017; Zbl 1356.05084) Full Text: DOI arXiv
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
Sinha, Kalyan The weakly sign symmetric \(Q\)-matrix completion problem. (English) Zbl 1348.05091 Palest. J. Math. 6, No. 1, 314-323 (2017). MSC: 05C20 15A18 PDFBibTeX XMLCite \textit{K. Sinha}, Palest. J. Math. 6, No. 1, 314--323 (2017; Zbl 1348.05091) Full Text: Link
Gao, Nan; Lv, Wei General Coulson-type integral formula for the energy of digraphs. (English) Zbl 1374.05102 Chin. J. Eng. Math. 33, No. 5, 534-540 (2016). MSC: 05C20 05C50 15A18 05C31 PDFBibTeX XMLCite \textit{N. Gao} and \textit{W. Lv}, Chin. J. Eng. Math. 33, No. 5, 534--540 (2016; Zbl 1374.05102) Full Text: DOI
Xi, Weige; Wang, Ligong Sharp upper bounds on the signless Laplacian spectral radius of strongly connected digraphs. (English) Zbl 1350.05099 Discuss. Math., Graph Theory 36, No. 4, 977-988 (2016). MSC: 05C50 05C40 05C20 15A18 PDFBibTeX XMLCite \textit{W. Xi} and \textit{L. Wang}, Discuss. Math., Graph Theory 36, No. 4, 977--988 (2016; Zbl 1350.05099) Full Text: DOI
You, Lihua; Shu, Yujie; Zhang, Xiao-Dong A sharp upper bound for the spectral radius of a nonnegative matrix and applications. (English) Zbl 1413.05254 Czech. Math. J. 66, No. 3, 701-715 (2016). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 05C50 15A18 05C20 PDFBibTeX XMLCite \textit{L. You} et al., Czech. Math. J. 66, No. 3, 701--715 (2016; Zbl 1413.05254) Full Text: DOI arXiv Link
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
Yu, Ber-Lin; Huang, Ting-Zhu; Jie, Cui; Deng, Chunhua Potentially eventually positive star sign patterns. (English) Zbl 1343.15021 Electron. J. Linear Algebra 31, 541-548 (2016). MSC: 15B48 05C50 15A18 PDFBibTeX XMLCite \textit{B.-L. Yu} et al., Electron. J. Linear Algebra 31, 541--548 (2016; Zbl 1343.15021) Full Text: DOI Link
Sato, Iwao A new proof of a formula for the Bartholdi zeta function of a digraph. (English) Zbl 1342.05086 Graphs Comb. 32, No. 4, 1571-1583 (2016). MSC: 05C50 15A15 PDFBibTeX XMLCite \textit{I. Sato}, Graphs Comb. 32, No. 4, 1571--1583 (2016; Zbl 1342.05086) 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
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