Wang, Wei; Yan, Zhidan; Mao, Lihuan Proof of a conjecture on the determinant of the walk matrix of rooted product with a path. (English) Zbl 07820065 Linear Multilinear Algebra 72, No. 5, 828-840 (2024). MSC: 05C50 05C76 PDFBibTeX XMLCite \textit{W. Wang} et al., Linear Multilinear Algebra 72, No. 5, 828--840 (2024; Zbl 07820065) Full Text: DOI arXiv
Reyes, M. A.; Dalfó, C.; Fiol, M. A. On the spectra and spectral radii of token graphs. (English) Zbl 07803275 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 11, 18 p. (2024). MSC: 05C50 05C15 05C10 PDFBibTeX XMLCite \textit{M. A. Reyes} et al., Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 11, 18 p. (2024; Zbl 07803275) Full Text: DOI arXiv
Randriamaro, Hery A determinant formula from random walks. (English) Zbl 07790557 Arch. Math., Brno 59, No. 5, 421-431 (2023). MSC: 05B20 15A15 60C05 60J10 PDFBibTeX XMLCite \textit{H. Randriamaro}, Arch. Math., Brno 59, No. 5, 421--431 (2023; Zbl 07790557) Full Text: DOI
Barik, Sasmita; Reddy, Sane Umesh Number of cycles of small length in a graph. (English) Zbl 1523.05019 AKCE Int. J. Graphs Comb. 20, No. 2, 134-147 (2023). MSC: 05C30 05C50 05C38 PDFBibTeX XMLCite \textit{S. Barik} and \textit{S. U. Reddy}, AKCE Int. J. Graphs Comb. 20, No. 2, 134--147 (2023; Zbl 1523.05019) Full Text: DOI
Moon, Sunyo; Park, Seungkook The Smith normal form of the walk matrix of the extended Dynkin graph \(\tilde{D}_n\). (English) Zbl 1525.05117 Linear Algebra Appl. 678, 169-190 (2023). MSC: 05C50 15B36 15A21 PDFBibTeX XMLCite \textit{S. Moon} and \textit{S. Park}, Linear Algebra Appl. 678, 169--190 (2023; Zbl 1525.05117) Full Text: DOI
Stanić, Zoran Walks and eigenvalues of signed graphs. (English) Zbl 1521.05110 Spec. Matrices 11, Article ID 20230104, 8 p. (2023). MSC: 05C50 05C22 PDFBibTeX XMLCite \textit{Z. Stanić}, Spec. Matrices 11, Article ID 20230104, 8 p. (2023; Zbl 1521.05110) Full Text: DOI OA License
Coutinho, Gabriel; Baptista, Pedro Ferreira; Godsil, Chris; Spier, Thomás Jung; Werner, Reinhard Irrational quantum walks. (English) Zbl 07727506 SIAM J. Appl. Algebra Geom. 7, No. 3, 567-584 (2023). MSC: 81P68 60K50 82C70 37A25 05C69 35P15 70H05 05C81 42A75 PDFBibTeX XMLCite \textit{G. Coutinho} et al., SIAM J. Appl. Algebra Geom. 7, No. 3, 567--584 (2023; Zbl 07727506) Full Text: DOI arXiv
Neelon, Brian; Wen, Chun-Che; Benjamin-Neelon, Sara E. A multivariate spatiotemporal model for tracking COVID-19 incidence and death rates in socially vulnerable populations. (English) Zbl 07716704 J. Appl. Stat. 50, No. 8, 1812-1835 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{B. Neelon} et al., J. Appl. Stat. 50, No. 8, 1812--1835 (2023; Zbl 07716704) Full Text: DOI
Zhou, Jiang; Bu, Changjiang Oriented spanning trees and stationary distribution of digraphs. (English) Zbl 1519.05099 Adv. Appl. Math. 150, Article ID 102576, 13 p. (2023). Reviewer: Wai-Kai Chen (Fremont) MSC: 05C20 05C81 05C30 05C50 05C05 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{C. Bu}, Adv. Appl. Math. 150, Article ID 102576, 13 p. (2023; Zbl 1519.05099) Full Text: DOI arXiv
Kubota, Sho Combinatorial necessary conditions for regular graphs to induce periodic quantum walks. (English) Zbl 1517.05103 Linear Algebra Appl. 673, 259-279 (2023). MSC: 05C50 05E30 05C31 81Q35 05C20 PDFBibTeX XMLCite \textit{S. Kubota}, Linear Algebra Appl. 673, 259--279 (2023; Zbl 1517.05103) Full Text: DOI arXiv
Higuchi, Yusuke; Sabri, Mohamed; Segawa, Etsuo A comfortable graph structure for Grover walk. (English) Zbl 1525.81022 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275203, 24 p. (2023). MSC: 81Q35 05C81 78A55 35J91 81U20 PDFBibTeX XMLCite \textit{Y. Higuchi} et al., J. Phys. A, Math. Theor. 56, No. 27, Article ID 275203, 24 p. (2023; Zbl 1525.81022) Full Text: DOI arXiv
Ruiz-Ortiz, Miguel A.; Martín-González, Ehyter M.; Santiago-Alarcon, Diego; Venegas-Andraca, Salvador E. A new definition of hitting time and an embedded Markov chain in continuous-time quantum walks. (English) Zbl 07695207 Quantum Inf. Process. 22, No. 5, Paper No. 224, 18 p. (2023). MSC: 81P68 PDFBibTeX XMLCite \textit{M. A. Ruiz-Ortiz} et al., Quantum Inf. Process. 22, No. 5, Paper No. 224, 18 p. (2023; Zbl 07695207) Full Text: DOI
Wang, Wei The Smith normal form of the walk matrix of the Dynkin graph \(D_n\) for \(n \equiv 0 \pmod{4}\). (English) Zbl 1515.05120 Linear Algebra Appl. 671, 121-134 (2023). MSC: 05C50 PDFBibTeX XMLCite \textit{W. Wang}, Linear Algebra Appl. 671, 121--134 (2023; Zbl 1515.05120) Full Text: DOI arXiv
Cuny, C.; Dedecker, J.; Merlevède, F.; Peligrad, M. Berry-Esseen type bounds for the left random walk on \({\mathrm{GL}_d}(\mathbb{R})\) under polynomial moment conditions. (English) Zbl 1519.60031 Ann. Probab. 51, No. 2, 495-523 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60B15 60G50 PDFBibTeX XMLCite \textit{C. Cuny} et al., Ann. Probab. 51, No. 2, 495--523 (2023; Zbl 1519.60031) Full Text: DOI arXiv
Wang, Junming; Tao, Qiuzhenyu Bounds on Kemeny’s constant of trees with a prescribed matching number. (English) Zbl 1512.05339 Discrete Appl. Math. 333, 121-131 (2023). MSC: 05C70 05C81 60J10 15A09 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Q. Tao}, Discrete Appl. Math. 333, 121--131 (2023; Zbl 1512.05339) Full Text: DOI
Mandal, Amrita; Sarma Sarkar, Rohit; Adhikari, Bibhas Localization of two dimensional quantum walks defined by generalized Grover coins. (English) Zbl 1519.81222 J. Phys. A, Math. Theor. 56, No. 2, Article ID 025303, 21 p. (2023). MSC: 81Q35 82B41 55P60 60J05 15B10 PDFBibTeX XMLCite \textit{A. Mandal} et al., J. Phys. A, Math. Theor. 56, No. 2, Article ID 025303, 21 p. (2023; Zbl 1519.81222) Full Text: DOI arXiv
Kennedy-Cochran-Patrick, Arthur; Sergeev, Sergei Extending CSR decomposition to tropical inhomogeneous matrix products. (English) Zbl 1518.15030 Electron. J. Linear Algebra 38, 820-851 (2022). MSC: 15A80 16Y60 05C50 05C20 05C22 05C25 PDFBibTeX XMLCite \textit{A. Kennedy-Cochran-Patrick} and \textit{S. Sergeev}, Electron. J. Linear Algebra 38, 820--851 (2022; Zbl 1518.15030) Full Text: arXiv Link
Böttcher, Albrecht Entries of the inverses of large positive definite Toeplitz matrices. (English) Zbl 07614111 Acta Sci. Math. 88, No. 1-2, 85-99 (2022). MSC: 47B35 15B05 34B27 60G50 PDFBibTeX XMLCite \textit{A. Böttcher}, Acta Sci. Math. 88, No. 1--2, 85--99 (2022; Zbl 07614111) Full Text: DOI
Ozawa, Toshihisa Tail asymptotics in any direction of the stationary distribution in a two-dimensional discrete-time QBD process. (English) Zbl 1501.60037 Queueing Syst. 102, No. 1-2, 227-267 (2022). MSC: 60J10 60K25 PDFBibTeX XMLCite \textit{T. Ozawa}, Queueing Syst. 102, No. 1--2, 227--267 (2022; Zbl 1501.60037) Full Text: DOI arXiv
Mandal, Amrita; Adhikari, Bibhas A characterization of orthogonal permutative matrices of order 4. (English) Zbl 1506.15032 Linear Algebra Appl. 654, 102-124 (2022). Reviewer: Kabgyun Jeong (Seoul) MSC: 15B10 81P45 81P17 94A17 PDFBibTeX XMLCite \textit{A. Mandal} and \textit{B. Adhikari}, Linear Algebra Appl. 654, 102--124 (2022; Zbl 1506.15032) Full Text: DOI
Gangopadhyay, Ujan; Maulik, Krishanu Almost sure convergence of randomized urn models with application to elephant random walk. (English) Zbl 1496.62139 Stat. Probab. Lett. 191, Article ID 109642, 7 p. (2022). MSC: 62L20 60F15 60G42 PDFBibTeX XMLCite \textit{U. Gangopadhyay} and \textit{K. Maulik}, Stat. Probab. Lett. 191, Article ID 109642, 7 p. (2022; Zbl 1496.62139) Full Text: DOI arXiv
Wang, Wei; Wang, Chuanming; Guo, Songlin On the walk matrix of the Dynkin graph \(D_n\). (English) Zbl 1497.05165 Linear Algebra Appl. 653, 193-206 (2022). MSC: 05C50 PDFBibTeX XMLCite \textit{W. Wang} et al., Linear Algebra Appl. 653, 193--206 (2022; Zbl 1497.05165) Full Text: DOI arXiv
Han, Qi; Kou, Yaxin; Bai, Ning; Wang, Huan The continuous-time quantum walk on some graphs based on the view of quantum probability. (English) Zbl 1510.81011 Int. J. Quantum Inf. 20, No. 6, Article ID 2250015, 13 p. (2022). MSC: 81P05 46L45 35P05 60G50 60J25 81Q35 PDFBibTeX XMLCite \textit{Q. Han} et al., Int. J. Quantum Inf. 20, No. 6, Article ID 2250015, 13 p. (2022; Zbl 1510.81011) Full Text: DOI
Komatsu, Takashi; Konno, Norio; Sato, Iwao Vertex-face/zeta correspondence. (English) Zbl 1501.81003 J. Algebr. Comb. 56, No. 2, 527-545 (2022). MSC: 81P20 60G50 05C81 14M25 47A10 11M38 PDFBibTeX XMLCite \textit{T. Komatsu} et al., J. Algebr. Comb. 56, No. 2, 527--545 (2022; Zbl 1501.81003) Full Text: DOI arXiv
Ciardo, Lorenzo; Dahl, Geir; Kirkland, Steve On Kemeny’s constant for trees with fixed order and diameter. (English) Zbl 1494.05100 Linear Multilinear Algebra 70, No. 12, 2331-2353 (2022). MSC: 05C81 05C05 05C50 60J10 05C12 94C15 PDFBibTeX XMLCite \textit{L. Ciardo} et al., Linear Multilinear Algebra 70, No. 12, 2331--2353 (2022; Zbl 1494.05100) Full Text: DOI arXiv
Ikkai, Tomohiro; Ohno, Hiromichi; Sawada, Yusuke Adjacency and transition matrices related to random walks on graphs. (English) Zbl 1510.43004 J. Algebr. Comb. 56, No. 1, 249-267 (2022). MSC: 43A62 05C81 PDFBibTeX XMLCite \textit{T. Ikkai} et al., J. Algebr. Comb. 56, No. 1, 249--267 (2022; Zbl 1510.43004) Full Text: DOI arXiv
Chan, Ada; Johnson, Bobae; Liu, Mengzhen; Schmidt, Malena; Yin, Zhanghan; Zhan, Hanmeng Laplacian pretty good fractional revival. (English) Zbl 1491.05122 Discrete Math. 345, No. 10, Article ID 112971, 12 p. (2022). MSC: 05C50 81P68 81P45 PDFBibTeX XMLCite \textit{A. Chan} et al., Discrete Math. 345, No. 10, Article ID 112971, 12 p. (2022; Zbl 1491.05122) Full Text: DOI arXiv
Cardoso, Domingos M.; Gomes, Helena; Pinheiro, Sofia J. The \(H\)-join of arbitrary families of graphs – the universal adjacency spectrum. (English) Zbl 1490.05236 Linear Algebra Appl. 648, 160-180 (2022). MSC: 05C76 05C50 05C75 05C85 PDFBibTeX XMLCite \textit{D. M. Cardoso} et al., Linear Algebra Appl. 648, 160--180 (2022; Zbl 1490.05236) Full Text: DOI arXiv
Li, Shuchao; Wang, Junming On the generalized \(A_\alpha\)-spectral characterizations of almost \(\alpha\)-controllable graphs. (English) Zbl 1490.05163 Discrete Math. 345, No. 8, Article ID 112913, 17 p. (2022). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Li} and \textit{J. Wang}, Discrete Math. 345, No. 8, Article ID 112913, 17 p. (2022; Zbl 1490.05163) Full Text: DOI
Lin, Hongying; Zhou, Bo On the non-backtracking spectral radius of graphs. (English) Zbl 1489.05095 Electron. J. Linear Algebra 38, 254-265 (2022). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{H. Lin} and \textit{B. Zhou}, Electron. J. Linear Algebra 38, 254--265 (2022; Zbl 1489.05095) Full Text: Link
Zhang, Xiao-Qin; Cui, Shu-Yu; Tian, Gui-Xian Signless Laplacian state transfer on \(\mathcal{Q} \)-graphs. (English) Zbl 1510.05205 Appl. Math. Comput. 425, Article ID 127070, 11 p. (2022). MSC: 05C50 15A18 81P45 PDFBibTeX XMLCite \textit{X.-Q. Zhang} et al., Appl. Math. Comput. 425, Article ID 127070, 11 p. (2022; Zbl 1510.05205) Full Text: DOI
Liu, Fenjin; Siemons, Johannes Unlocking the walk matrix of a graph. (English) Zbl 1489.05096 J. Algebr. Comb. 55, No. 3, 663-690 (2022). MSC: 05C50 05C75 05E10 05C60 PDFBibTeX XMLCite \textit{F. Liu} and \textit{J. Siemons}, J. Algebr. Comb. 55, No. 3, 663--690 (2022; Zbl 1489.05096) Full Text: DOI arXiv
Jing, Bingyi; Li, Ting; Ying, Ningchen; Yu, Xianshi Community detection in sparse networks using the symmetrized Laplacian inverse matrix (SLIM). (English) Zbl 1524.62296 Stat. Sin. 32, No. 1, 1-22 (2022). MSC: 62H30 91D30 05C50 62-08 PDFBibTeX XMLCite \textit{B. Jing} et al., Stat. Sin. 32, No. 1, 1--22 (2022; Zbl 1524.62296) Full Text: DOI
Sabelfeld, Karl A new randomized vector algorithm for iterative solution of large linear systems. (English) Zbl 1483.65052 Appl. Math. Lett. 126, Article ID 107830, 9 p. (2022). MSC: 65F10 15B48 PDFBibTeX XMLCite \textit{K. Sabelfeld}, Appl. Math. Lett. 126, Article ID 107830, 9 p. (2022; Zbl 1483.65052) Full Text: DOI
Cedzich, C.; Geib, T.; Grünbaum, F. A.; Velázquez, L.; Werner, A. H.; Werner, R. F. Quantum walks: Schur functions meet symmetry protected topological phases. (English) Zbl 07463704 Commun. Math. Phys. 389, No. 1, 31-74 (2022). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B90 82B41 30E10 PDFBibTeX XMLCite \textit{C. Cedzich} et al., Commun. Math. Phys. 389, No. 1, 31--74 (2022; Zbl 07463704) Full Text: DOI arXiv
Wang, Shiping; Wang, Zhewen; Guo, Wenzhong Accelerated manifold embedding for multi-view semi-supervised classification. (English) Zbl 1523.68073 Inf. Sci. 562, 438-451 (2021). MSC: 68T05 62H30 62R30 PDFBibTeX XMLCite \textit{S. Wang} et al., Inf. Sci. 562, 438--451 (2021; Zbl 1523.68073) Full Text: DOI
Kubota, Sho; Segawa, Etsuo; Taniguchi, Tetsuji Quantum walks defined by digraphs and generalized Hermitian adjacency matrices. (English) Zbl 1509.05117 Quantum Inf. Process. 20, No. 3, Paper No. 95, 30 p. (2021). MSC: 05C50 05C20 05C81 81Q35 PDFBibTeX XMLCite \textit{S. Kubota} et al., Quantum Inf. Process. 20, No. 3, Paper No. 95, 30 p. (2021; Zbl 1509.05117) Full Text: DOI arXiv
Higuchi, Kenta Feynman-type representation of the scattering matrix on the line via a discrete-time quantum walk. (English) Zbl 1519.82105 J. Phys. A, Math. Theor. 54, No. 23, Article ID 235203, 11 p. (2021). MSC: 82C41 81Q20 81U20 PDFBibTeX XMLCite \textit{K. Higuchi}, J. Phys. A, Math. Theor. 54, No. 23, Article ID 235203, 11 p. (2021; Zbl 1519.82105) Full Text: DOI
Komatsu, Takashi; Konno, Norio; Sato, Iwao A note on the Grover walk and the generalized Ihara zeta function of the one-dimensional integer lattice. (English) Zbl 1503.60028 Yokohama Math. J. 67, 115-123 (2021). MSC: 60F05 11M41 05C50 15A15 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Yokohama Math. J. 67, 115--123 (2021; Zbl 1503.60028) Full Text: DOI arXiv
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
Komatsu, Takashi; Konno, Norio; Morioka, Hisashi; Segawa, Etsuo Generalized eigenfunctions for quantum walks via path counting approach. (English) Zbl 1483.81134 Rev. Math. Phys. 33, No. 6, Article ID 2150019, 24 p. (2021). MSC: 81U20 81U26 47A40 60G50 47A70 32U35 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Rev. Math. Phys. 33, No. 6, Article ID 2150019, 24 p. (2021; Zbl 1483.81134) Full Text: DOI arXiv
Grimmett, Geoffrey R. Harry Kesten’s work in probability theory. (English) Zbl 1495.60001 Probab. Theory Relat. Fields 181, No. 1-3, 17-55 (2021). MSC: 60-02 60G50 60J80 60B20 60K35 82B20 PDFBibTeX XMLCite \textit{G. R. Grimmett}, Probab. Theory Relat. Fields 181, No. 1--3, 17--55 (2021; Zbl 1495.60001) Full Text: DOI arXiv
Komatsu, Takashi; Konno, Norio; Sato, Iwao A characteristic polynomial for the transition probability matrix of correlated random walks on a graph. (English) Zbl 1478.05140 Electron. J. Comb. 28, No. 4, Research Paper P4.21, 20 p. (2021). MSC: 05C81 05C50 05C31 15A15 11M38 11M41 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Electron. J. Comb. 28, No. 4, Research Paper P4.21, 20 p. (2021; Zbl 1478.05140) Full Text: DOI arXiv
Choi, Jinwon; Moon, Sunyo; Park, Seungkook A note on the invariant factors of the walk matrix of a graph. (English) Zbl 1476.05112 Linear Algebra Appl. 631, 362-378 (2021). MSC: 05C50 15B36 PDFBibTeX XMLCite \textit{J. Choi} et al., Linear Algebra Appl. 631, 362--378 (2021; Zbl 1476.05112) Full Text: DOI
Kubota, Sho; Sekido, Hiroto; Yata, Harunobu Periodicity of quantum walks defined by mixed paths and mixed cycles. (English) Zbl 1473.05172 Linear Algebra Appl. 630, 15-38 (2021). MSC: 05C50 81Q99 05C20 05C81 15A18 05B20 PDFBibTeX XMLCite \textit{S. Kubota} et al., Linear Algebra Appl. 630, 15--38 (2021; Zbl 1473.05172) Full Text: DOI arXiv
Biesel, Owen A principle for converting Lindström-type lemmas to Stembridge-type theorems, with applications to walks, groves, and alternating flows. (English) Zbl 1469.05067 Graphs Comb. 37, No. 4, 1229-1246 (2021). MSC: 05C21 05C22 05C20 15A15 PDFBibTeX XMLCite \textit{O. Biesel}, Graphs Comb. 37, No. 4, 1229--1246 (2021; Zbl 1469.05067) Full Text: DOI arXiv
Yang, Guangbo; Wang, Caishi; Luo, Yan; Wang, Yanyan; Nan, Xueqi 2-tessellable staggered quantum walk on finite even cycles. (Chinese. English summary) Zbl 1474.05365 J. Shandong Univ., Nat. Sci. 56, No. 1, 52-59 (2021). MSC: 05C81 81S20 PDFBibTeX XMLCite \textit{G. Yang} et al., J. Shandong Univ., Nat. Sci. 56, No. 1, 52--59 (2021; Zbl 1474.05365) Full Text: DOI
Li, Shuchao; Sun, Wanting An arithmetic criterion for graphs being determined by their generalized \(A_\alpha \)-spectra. (English) Zbl 1466.05122 Discrete Math. 344, No. 8, Article ID 112469, 16 p. (2021). MSC: 05C50 15B36 PDFBibTeX XMLCite \textit{S. Li} and \textit{W. Sun}, Discrete Math. 344, No. 8, Article ID 112469, 16 p. (2021; Zbl 1466.05122) Full Text: DOI arXiv
Konno, Norio; Sato, Iwao; Segawa, Etsuo A zeta function related to the transition matrix of the discrete-time quantum walk on a graph. (English) Zbl 1466.81026 Discrete Math. 344, No. 7, Article ID 112412, 12 p. (2021). MSC: 81Q35 05C81 11M36 05E30 60G50 82B41 PDFBibTeX XMLCite \textit{N. Konno} et al., Discrete Math. 344, No. 7, Article ID 112412, 12 p. (2021; Zbl 1466.81026) Full Text: DOI arXiv
Du, Zenan; Liu, Fenjin; Liu, Shunyi; Qin, Zhongmei Graphs with \(n - 1\) main eigenvalues. (English) Zbl 1466.05117 Discrete Math. 344, No. 7, Article ID 112397, 16 p. (2021). MSC: 05C50 05C25 PDFBibTeX XMLCite \textit{Z. Du} et al., Discrete Math. 344, No. 7, Article ID 112397, 16 p. (2021; Zbl 1466.05117) Full Text: DOI
Morfonios, C. V.; Pyzh, M.; Röntgen, M.; Schmelcher, P. Cospectrality preserving graph modifications and eigenvector properties via walk equivalence of vertices. (English) Zbl 1465.05104 Linear Algebra Appl. 624, 53-86 (2021). MSC: 05C50 15A18 05C22 81R40 81V55 PDFBibTeX XMLCite \textit{C. V. Morfonios} et al., Linear Algebra Appl. 624, 53--86 (2021; Zbl 1465.05104) Full Text: DOI arXiv
Cui, Shu-Yu; Tian, Gui-Xian The \(Q\)-generating function for graphs with application. (English) Zbl 1462.05215 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1471-1482 (2021). MSC: 05C50 05C90 PDFBibTeX XMLCite \textit{S.-Y. Cui} and \textit{G.-X. Tian}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1471--1482 (2021; Zbl 1462.05215) 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
Stanić, Zoran A note on a walk-based inequality for the index of a signed graph. (English) Zbl 1457.05045 Spec. Matrices 9, 19-21 (2021). MSC: 05C22 05C50 PDFBibTeX XMLCite \textit{Z. Stanić}, Spec. Matrices 9, 19--21 (2021; Zbl 1457.05045) Full Text: DOI
Ballini, Francesco; Deniskin, Nikita Vertex distinction with subgraph centrality: a proof of Estrada’s conjecture and some generalizations. (English) Zbl 1459.05310 Linear Algebra Appl. 612, 334-344 (2021). MSC: 05C82 05C09 15A16 11J72 PDFBibTeX XMLCite \textit{F. Ballini} and \textit{N. Deniskin}, Linear Algebra Appl. 612, 334--344 (2021; Zbl 1459.05310) Full Text: DOI arXiv
Wang, Wei On the Smith normal form of walk matrices. (English) Zbl 1459.05191 Linear Algebra Appl. 612, 30-41 (2021). MSC: 05C50 15B36 15A21 PDFBibTeX XMLCite \textit{W. Wang}, Linear Algebra Appl. 612, 30--41 (2021; Zbl 1459.05191) Full Text: DOI
Annabestani, Mostafa Asymptotic reduced density matrix of discrete-time quantum walks. (English) Zbl 1514.81129 J. Phys. A, Math. Theor. 53, No. 15, Article ID 155303, 13 p. (2020). MSC: 81Q35 81P40 PDFBibTeX XMLCite \textit{M. Annabestani}, J. Phys. A, Math. Theor. 53, No. 15, Article ID 155303, 13 p. (2020; Zbl 1514.81129) Full Text: DOI arXiv
Fasino, Dario; Tudisco, Francesco Ergodicity coefficients for higher-order stochastic processes. (English) Zbl 1483.60105 SIAM J. Math. Data Sci. 2, No. 3, 740-769 (2020). MSC: 60J10 60G50 65C30 65F35 65C40 PDFBibTeX XMLCite \textit{D. Fasino} and \textit{F. Tudisco}, SIAM J. Math. Data Sci. 2, No. 3, 740--769 (2020; Zbl 1483.60105) Full Text: DOI arXiv
Zhou, Xiaoxu; Liu, Yingfeng; Fu, Yingnan; Zhu, Renyu; Gao, Ming Approaches on network vertex embedding. (Chinese. English summary) Zbl 1474.68231 J. East China Norm. Univ., Nat. Sci. Ed. 2020, No. 5, 83-94 (2020). MSC: 68R10 05C81 15A23 68P05 68T07 PDFBibTeX XMLCite \textit{X. Zhou} et al., J. East China Norm. Univ., Nat. Sci. Ed. 2020, No. 5, 83--94 (2020; Zbl 1474.68231) Full Text: DOI
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
He, Weikun Random walks on linear groups satisfying a Schubert condition. (English) Zbl 1452.60023 Isr. J. Math. 238, No. 2, 593-627 (2020). MSC: 60G20 14M15 60B20 60G50 PDFBibTeX XMLCite \textit{W. He}, Isr. J. Math. 238, No. 2, 593--627 (2020; Zbl 1452.60023) Full Text: DOI arXiv
Sarma Sarkar, Rohit; Mandal, Amrita; Adhikari, Bibhas Periodicity of lively quantum walks on cycles with generalized Grover coin. (English) Zbl 1447.81153 Linear Algebra Appl. 604, 399-424 (2020). MSC: 81S25 05C38 15B10 15B99 60G50 20B05 PDFBibTeX XMLCite \textit{R. Sarma Sarkar} et al., Linear Algebra Appl. 604, 399--424 (2020; Zbl 1447.81153) Full Text: DOI arXiv
Bini, Dario A.; Massei, Stefano; Meini, Beatrice; Robol, Leonardo A computational framework for two-dimensional random walks with restarts. (English) Zbl 1462.65046 SIAM J. Sci. Comput. 42, No. 4, A2108-A2133 (2020). MSC: 65F99 60J22 15B05 PDFBibTeX XMLCite \textit{D. A. Bini} et al., SIAM J. Sci. Comput. 42, No. 4, A2108--A2133 (2020; Zbl 1462.65046) Full Text: DOI arXiv
Dalfó, Cristina; Fiol, Miquel Àngel A general method to obtain the spectrum and local spectra of a graph from its regular partitions. (English) Zbl 1444.05089 Electron. J. Linear Algebra 36, 446-460 (2020). MSC: 05C50 05C70 05E30 94B99 PDFBibTeX XMLCite \textit{C. Dalfó} and \textit{M. À. Fiol}, Electron. J. Linear Algebra 36, 446--460 (2020; Zbl 1444.05089) Full Text: arXiv Link
Higham, Desmond J. Centrality-friendship paradoxes: when our friends are more important than us. (English) Zbl 1472.05038 J. Complex Netw. 7, No. 4, 515-528 (2019). MSC: 05C07 05C90 05C50 91D30 PDFBibTeX XMLCite \textit{D. J. Higham}, J. Complex Netw. 7, No. 4, 515--528 (2019; Zbl 1472.05038) Full Text: DOI arXiv
Taghvaee, Fatemeh; Fath-Tabar, Gholam Hossein Trees with four and five distinct signless Laplacian eigenvalues. (English) Zbl 1451.05149 J. Indones. Math. Soc. 25, No. 3, 302-313 (2019). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{F. Taghvaee} and \textit{G. H. Fath-Tabar}, J. Indones. Math. Soc. 25, No. 3, 302--313 (2019; Zbl 1451.05149) Full Text: DOI
Morioka, Hisashi Generalized eigenfunctions and scattering matrices for position-dependent quantum walks. (English) Zbl 1476.81141 Rev. Math. Phys. 31, No. 7, Article ID 1950019, 37 p. (2019). MSC: 81U20 47A75 47A40 PDFBibTeX XMLCite \textit{H. Morioka}, Rev. Math. Phys. 31, No. 7, Article ID 1950019, 37 p. (2019; Zbl 1476.81141) Full Text: DOI arXiv
Koshy, Thomas Gibonacci extensions of a Catalan delight with graph-theoretic confirmations. (English) Zbl 1427.05029 J. Indian Acad. Math. 41, No. 1, 1-17 (2019). MSC: 05A19 11B37 11B39 PDFBibTeX XMLCite \textit{T. Koshy}, J. Indian Acad. Math. 41, No. 1, 1--17 (2019; Zbl 1427.05029)
Drugan, Madalina M. Random walk’s correlation function for multi-objective NK landscapes and quadratic assignment problem. (English) Zbl 1432.90131 J. Comb. Optim. 38, No. 4, 1213-1262 (2019). MSC: 90C27 90C29 05C50 PDFBibTeX XMLCite \textit{M. M. Drugan}, J. Comb. Optim. 38, No. 4, 1213--1262 (2019; Zbl 1432.90131) Full Text: DOI
Wada, Kazuyuki Absence of wave operators for one-dimensional quantum walks. (English) Zbl 1428.81130 Lett. Math. Phys. 109, No. 11, 2571-2583 (2019). MSC: 81U20 47A40 60G50 PDFBibTeX XMLCite \textit{K. Wada}, Lett. Math. Phys. 109, No. 11, 2571--2583 (2019; Zbl 1428.81130) Full Text: DOI arXiv
Han, Qi; Guo, Ting; Yin, Shide; Chen, Zhihe The stationary measure of a space-inhomogeneous three-state quantum walk on the line. (Chinese. English summary) Zbl 1438.81020 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 1, 133-142 (2019). MSC: 81S25 60G57 PDFBibTeX XMLCite \textit{Q. Han} et al., Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 1, 133--142 (2019; Zbl 1438.81020)
Godsil, Chris; Zhan, Hanmeng Discrete-time quantum walks and graph structures. (English) Zbl 1421.82030 J. Comb. Theory, Ser. A 167, 181-212 (2019). MSC: 82C41 05C70 PDFBibTeX XMLCite \textit{C. Godsil} and \textit{H. Zhan}, J. Comb. Theory, Ser. A 167, 181--212 (2019; Zbl 1421.82030) Full Text: DOI arXiv
Farrugia, Alexander On pseudo walk matrices. (English) Zbl 1438.05160 DML, Discrete Math. Lett. 1, 8-15 (2019). MSC: 05C50 PDFBibTeX XMLCite \textit{A. Farrugia}, DML, Discrete Math. Lett. 1, 8--15 (2019; Zbl 1438.05160) Full Text: Link
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
Koshy, Thomas A graph-theoretic model for a generalized Fibonacci gem. (English) Zbl 1418.11031 J. Integer Seq. 22, No. 4, Article 19.4.1, 12 p. (2019). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11B39 05C99 PDFBibTeX XMLCite \textit{T. Koshy}, J. Integer Seq. 22, No. 4, Article 19.4.1, 12 p. (2019; Zbl 1418.11031) Full Text: Link
Konno, Norio; Mitsuhashi, Hideo; Morita, Hideaki; Sato, Iwao A new weighted Ihara zeta function for a graph. (English) Zbl 1411.05169 Linear Algebra Appl. 571, 154-179 (2019). MSC: 05C50 15A15 11M41 PDFBibTeX XMLCite \textit{N. Konno} et al., Linear Algebra Appl. 571, 154--179 (2019; Zbl 1411.05169) Full Text: DOI
Horton, Eric; Kloster, Kyle; Sullivan, Blair D. Subgraph centrality and walk-regularity. (English) Zbl 1411.05241 Linear Algebra Appl. 570, 225-244 (2019). MSC: 05C82 05C12 05C75 15A16 PDFBibTeX XMLCite \textit{E. Horton} et al., Linear Algebra Appl. 570, 225--244 (2019; Zbl 1411.05241) Full Text: DOI arXiv
Handelman, David Nearly approximate transitivity (AT) for circulant matrices. (English) Zbl 1420.37003 Can. J. Math. 71, No. 2, 381-415 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 37A05 06F25 28D05 46B40 60G50 37C85 15B99 37A55 PDFBibTeX XMLCite \textit{D. Handelman}, Can. J. Math. 71, No. 2, 381--415 (2019; Zbl 1420.37003) Full Text: DOI arXiv
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
Liu, Fenjin; Siemons, Johannes; Wang, Wei New families of graphs determined by their generalized spectrum. (English) Zbl 1405.05105 Discrete Math. 342, No. 4, 1108-1112 (2019). MSC: 05C50 PDFBibTeX XMLCite \textit{F. Liu} et al., Discrete Math. 342, No. 4, 1108--1112 (2019; Zbl 1405.05105) Full Text: DOI arXiv Link
Nizami, Abdul Rauf; Perveen, Afshan; Nazeer, Waqas; Baqir, Mahnoor Walk polynomial: a new graph invariant. (English) Zbl 1524.05161 Appl. Math. Nonlinear Sci. 3, No. 1, 321-330 (2018). MSC: 05C31 05C30 05C12 PDFBibTeX XMLCite \textit{A. R. Nizami} et al., Appl. Math. Nonlinear Sci. 3, No. 1, 321--330 (2018; Zbl 1524.05161) Full Text: DOI
Lee, Julian Transfer matrix algorithm for computing the exact partition function of a square lattice polymer. (English) Zbl 1507.82091 Comput. Phys. Commun. 228, 11-21 (2018). MSC: 82D60 PDFBibTeX XMLCite \textit{J. Lee}, Comput. Phys. Commun. 228, 11--21 (2018; Zbl 1507.82091) Full Text: DOI arXiv
Ozawa, Toshihisa; Kobayashi, Masahiro Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process. (English) Zbl 1418.60108 Queueing Syst. 90, No. 3-4, 351-403 (2018). MSC: 60J10 60K25 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{M. Kobayashi}, Queueing Syst. 90, No. 3--4, 351--403 (2018; Zbl 1418.60108) Full Text: DOI arXiv
Aaronson, Jon; Bromberg, Michael; Chandgotia, Nishant Rational ergodicity of step function skew products. (English) Zbl 1407.37060 J. Mod. Dyn. 13, 1-42 (2018). MSC: 37E10 37A40 11K38 60F05 37A50 37A25 PDFBibTeX XMLCite \textit{J. Aaronson} et al., J. Mod. Dyn. 13, 1--42 (2018; Zbl 1407.37060) Full Text: DOI arXiv
Gorin, Vadim; Shkolnikov, Mykhaylo Stochastic Airy semigroup through tridiagonal matrices. (English) Zbl 1430.60011 Ann. Probab. 46, No. 4, 2287-2344 (2018). MSC: 60B20 15B52 60H25 47D08 60J55 PDFBibTeX XMLCite \textit{V. Gorin} and \textit{M. Shkolnikov}, Ann. Probab. 46, No. 4, 2287--2344 (2018; Zbl 1430.60011) Full Text: DOI arXiv Euclid
Kloster, Kyle; Král’, Daniel; Sullivan, Blair D. Walk entropy and walk-regularity. (English) Zbl 1391.05169 Linear Algebra Appl. 546, 115-121 (2018). MSC: 05C50 PDFBibTeX XMLCite \textit{K. Kloster} et al., Linear Algebra Appl. 546, 115--121 (2018; Zbl 1391.05169) Full Text: DOI arXiv Link
Konno, Norio; Ide, Yusuke; Sato, Iwao The spectral analysis of the unitary matrix of a 2-tessellable staggered quantum walk on a graph. (English) Zbl 1390.05220 Linear Algebra Appl. 545, 207-225 (2018). MSC: 05C81 05C50 15A15 05C60 PDFBibTeX XMLCite \textit{N. Konno} et al., Linear Algebra Appl. 545, 207--225 (2018; Zbl 1390.05220) Full Text: DOI
Grünbaum, F. A.; Velázquez, L. A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks. (English) Zbl 1464.47011 Adv. Math. 326, 352-464 (2018). Reviewer: Uwe Franz (Besançon) MSC: 47A56 42C05 47B36 60J10 81Q99 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{L. Velázquez}, Adv. Math. 326, 352--464 (2018; Zbl 1464.47011) Full Text: DOI arXiv
Jacobsen, Karly A.; Tien, Joseph H. A generalized inverse for graphs with absorption. (English) Zbl 1373.05079 Linear Algebra Appl. 537, 118-147 (2018). MSC: 05C22 05C20 05C82 05C90 05C81 15A09 92B05 PDFBibTeX XMLCite \textit{K. A. Jacobsen} and \textit{J. H. Tien}, Linear Algebra Appl. 537, 118--147 (2018; Zbl 1373.05079) Full Text: DOI arXiv
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo Periodicity of the discrete-time quantum walk on a finite graph. (English) Zbl 1470.81043 Interdiscip. Inf. Sci. 23, No. 1, 75-86 (2017). MSC: 81S25 60G50 81Q35 15B52 05C81 05C85 58J50 39A12 11R60 47A25 PDFBibTeX XMLCite \textit{Y. Higuchi} et al., Interdiscip. Inf. Sci. 23, No. 1, 75--86 (2017; Zbl 1470.81043) Full Text: DOI
Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao The discrete-time quaternionic quantum walk and the second weighted zeta function on a graph. (English) Zbl 1470.81045 Interdiscip. Inf. Sci. 23, No. 1, 9-17 (2017). MSC: 81S25 60G50 81Q35 05C81 15A15 15B33 11R52 PDFBibTeX XMLCite \textit{N. Konno} et al., Interdiscip. Inf. Sci. 23, No. 1, 9--17 (2017; Zbl 1470.81045) Full Text: DOI arXiv
Falloon, Peter E.; Rodriguez, Jeremy; Wang, Jingbo B. Qswalk: a Mathematica package for quantum stochastic walks on arbitrary graphs. (English) Zbl 1411.81013 Comput. Phys. Commun. 217, 162-170 (2017). MSC: 81-04 81S22 81-08 PDFBibTeX XMLCite \textit{P. E. Falloon} et al., Comput. Phys. Commun. 217, 162--170 (2017; Zbl 1411.81013) Full Text: DOI arXiv
Yoshie, Yusuke Characterizations of graphs to induce periodic Grover walk. (English) Zbl 1397.81117 Yokohama Math. J. 63, 9-23 (2017). MSC: 81S25 05C81 81Q35 PDFBibTeX XMLCite \textit{Y. Yoshie}, Yokohama Math. J. 63, 9--23 (2017; Zbl 1397.81117) Full Text: Link
Koshy, Thomas A digraph model for the Jacobsthal family. (English) Zbl 1381.05026 Math. Sci. 42, No. 3, 151-156 (2017). MSC: 05C20 11B39 11C20 PDFBibTeX XMLCite \textit{T. Koshy}, Math. Sci. 42, No. 3, 151--156 (2017; Zbl 1381.05026)
Burchard, Almut; Chambers, Gregory R.; Dranovski, Anne Ergodic properties of folding maps on spheres. (English) Zbl 1385.37007 Discrete Contin. Dyn. Syst. 37, No. 3, 1183-1200 (2017). Reviewer: George Stoica (Saint John) MSC: 37A45 51F15 37A25 20H20 PDFBibTeX XMLCite \textit{A. Burchard} et al., Discrete Contin. Dyn. Syst. 37, No. 3, 1183--1200 (2017; Zbl 1385.37007) Full Text: DOI arXiv
Liu, Fenjin; Wang, Wei A note on non-\(\mathbb{R}\)-cospectral graphs. (English) Zbl 1358.05175 Electron. J. Comb. 24, No. 1, Research Paper P1.48, 8 p. (2017). MSC: 05C50 PDFBibTeX XMLCite \textit{F. Liu} and \textit{W. Wang}, Electron. J. Comb. 24, No. 1, Research Paper P1.48, 8 p. (2017; Zbl 1358.05175) Full Text: Link
D’Angeli, Daniele; Donno, Alfredo Wreath product of matrices. (English) Zbl 1391.15083 Linear Algebra Appl. 513, 276-303 (2017). MSC: 15A69 05C50 05C76 05C81 15A18 PDFBibTeX XMLCite \textit{D. D'Angeli} and \textit{A. Donno}, Linear Algebra Appl. 513, 276--303 (2017; Zbl 1391.15083) Full Text: DOI arXiv
Konno, Norio; Sato, Iwao; Segawa, Etsuo The spectra of the unitary matrix of a 2-tessellable staggered quantum walk on a graph. (English) Zbl 1398.81102 Yokohama Math. J. 62, 51-87 (2016). MSC: 81Q35 05C50 05C81 15A15 60G50 PDFBibTeX XMLCite \textit{N. Konno} et al., Yokohama Math. J. 62, 51--87 (2016; Zbl 1398.81102) Full Text: Link
Engström, Christopher; Silvestrov, Sergei PageRank, connecting a line of nodes with a complete graph. (English) Zbl 1405.68020 Silvestrov, Sergei (ed.) et al., Engineering mathematics. II: Algebraic, stochastic and analysis structures for networks, data classification and optimization. Cham: Springer (ISBN 978-3-319-42104-9/hbk; 978-3-319-42105-6/ebook). Springer Proceedings in Mathematics & Statistics 179, 249-274 (2016). MSC: 68M11 05C50 05C81 68R10 PDFBibTeX XMLCite \textit{C. Engström} and \textit{S. Silvestrov}, Springer Proc. Math. Stat. 179, 249--274 (2016; Zbl 1405.68020) Full Text: DOI
Engström, Christopher; Silvestrov, Sergei PageRank, a look at small changes in a line of nodes and the complete graph. (English) Zbl 1405.68019 Silvestrov, Sergei (ed.) et al., Engineering mathematics. II: Algebraic, stochastic and analysis structures for networks, data classification and optimization. Cham: Springer (ISBN 978-3-319-42104-9/hbk; 978-3-319-42105-6/ebook). Springer Proceedings in Mathematics & Statistics 179, 223-247 (2016). MSC: 68M11 05C50 05C81 68R10 PDFBibTeX XMLCite \textit{C. Engström} and \textit{S. Silvestrov}, Springer Proc. Math. Stat. 179, 223--247 (2016; Zbl 1405.68019) Full Text: DOI