Fox, Jacob; Himwich, Zoe; Mani, Nitya Extremal results on feedback arc sets in digraphs. (English) Zbl 07811290 Random Struct. Algorithms 64, No. 2, 287-308 (2024). MSC: 05C20 05C35 PDFBibTeX XMLCite \textit{J. Fox} et al., Random Struct. Algorithms 64, No. 2, 287--308 (2024; Zbl 07811290) Full Text: DOI arXiv OA License
Dovgal, Sergey; de Panafieu, Élie; Ralaivaosaona, Dimbinaina; Rasendrahasina, Vonjy; Wagner, Stephan The birth of the strong components. (English) Zbl 07811288 Random Struct. Algorithms 64, No. 2, 170-266 (2024). MSC: 05C80 05C20 05A15 05C35 60C05 05D40 PDFBibTeX XMLCite \textit{S. Dovgal} et al., Random Struct. Algorithms 64, No. 2, 170--266 (2024; Zbl 07811288) Full Text: DOI arXiv
Bachtler, Oliver; Bergner, Tim; Krumke, Sven O. Almost disjoint paths and separating by forbidden pairs. (English) Zbl 07809110 Theor. Comput. Sci. 982, Article ID 114272, 20 p. (2024). MSC: 68Qxx PDFBibTeX XMLCite \textit{O. Bachtler} et al., Theor. Comput. Sci. 982, Article ID 114272, 20 p. (2024; Zbl 07809110) Full Text: DOI arXiv
Wu, Qiying; Wang, Huiwen; Lu, Shan Nonlinear directed acyclic graph estimation based on the kernel partial correlation coefficient. (English) Zbl 07803344 Inf. Sci. 654, Article ID 119814, 19 p. (2024). MSC: 62-XX 68-XX PDFBibTeX XMLCite \textit{Q. Wu} et al., Inf. Sci. 654, Article ID 119814, 19 p. (2024; Zbl 07803344) Full Text: DOI
Biswas, Rahul; Mukherjee, Somabha Consistent causal inference from time series with PC algorithm and its time-aware extension. (English) Zbl 1523.62005 Stat. Comput. 34, No. 1, Paper No. 14, 21 p. (2024). MSC: 62-08 62M10 68T05 PDFBibTeX XMLCite \textit{R. Biswas} and \textit{S. Mukherjee}, Stat. Comput. 34, No. 1, Paper No. 14, 21 p. (2024; Zbl 1523.62005) Full Text: DOI arXiv
Guo, F. Richard; Perković, Emilija; Rotnitzky, Andrea Variable elimination, graph reduction and the efficient g-formula. (English) Zbl 07802192 Biometrika 110, No. 3, 739-761 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{F. R. Guo} et al., Biometrika 110, No. 3, 739--761 (2023; Zbl 07802192) Full Text: DOI arXiv OA License
Park, Gunwoong Computationally efficient learning of Gaussian linear structural equation models with equal error variances. (English) Zbl 07792040 J. Comput. Graph. Stat. 32, No. 3, 1060-1073 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{G. Park}, J. Comput. Graph. Stat. 32, No. 3, 1060--1073 (2023; Zbl 07792040) Full Text: DOI
Di Loro, Pierfrancesco Alaimo; Mingione, Marco; Lipsitt, Jonah; Batteate, Christina M.; Jerrett, Michael; Banerjee, Sudipto Bayesian hierarchical modeling and analysis for actigraph data from wearable devices. (English) Zbl 07789410 Ann. Appl. Stat. 17, No. 4, 2865-2886 (2023). MSC: 62Pxx PDFBibTeX XMLCite \textit{P. A. Di Loro} et al., Ann. Appl. Stat. 17, No. 4, 2865--2886 (2023; Zbl 07789410) Full Text: DOI arXiv
González d’León, Rafael S.; Hanusa, Christopher R. H.; Morales, Alejandro H.; Yip, Martha Column-convex matrices, \(G\)-cyclic orders, and flow polytopes. (English) Zbl 07781573 Discrete Comput. Geom. 70, No. 4, 1593-1631 (2023). MSC: 52B05 52B11 52B12 05C20 05A19 05C21 06A07 11B83 52A38 05A15 11Y55 PDFBibTeX XMLCite \textit{R. S. González d'León} et al., Discrete Comput. Geom. 70, No. 4, 1593--1631 (2023; Zbl 07781573) Full Text: DOI arXiv
Dumm, Will; Barker, Mary; Howard-Snyder, William; Dewitt, William S. III; Matsen, Frederick A. IV Representing and extending ensembles of parsimonious evolutionary histories with a directed acyclic graph. (English) Zbl 07770158 J. Math. Biol. 87, No. 5, Paper No. 75, 47 p. (2023). MSC: 92D15 05C90 PDFBibTeX XMLCite \textit{W. Dumm} et al., J. Math. Biol. 87, No. 5, Paper No. 75, 47 p. (2023; Zbl 07770158) Full Text: DOI arXiv OA License
Hao, Wei; Song, Peter X. K. A simultaneous likelihood test for joint mediation effects of multiple mediators. (English) Zbl 07764886 Stat. Sin. 33, No. 4, 2305-2326 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{W. Hao} and \textit{P. X. K. Song}, Stat. Sin. 33, No. 4, 2305--2326 (2023; Zbl 07764886) Full Text: DOI
Castelletti, Federico; Peluso, Stefano Network structure learning under uncertain interventions. (English) Zbl 07751832 J. Am. Stat. Assoc. 118, No. 543, 2117-2128 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{F. Castelletti} and \textit{S. Peluso}, J. Am. Stat. Assoc. 118, No. 543, 2117--2128 (2023; Zbl 07751832) Full Text: DOI
Naves, Guyslain Integer multiflows in acyclic planar digraphs. (English) Zbl 07745912 Combinatorica 43, No. 5, 1031-1043 (2023). MSC: 05C10 05C20 05C21 PDFBibTeX XMLCite \textit{G. Naves}, Combinatorica 43, No. 5, 1031--1043 (2023; Zbl 07745912) Full Text: DOI
Zeng, Gongxian; Lai, Junzuo; Huang, Zhengan; Wang, Yu; Zheng, Zhiming DAG-\( \Sigma \): a DAG-based sigma protocol for relations in CNF. (English) Zbl 1519.94200 Agrawal, Shweta (ed.) et al., Advances in cryptology – ASIACRYPT 2022. 28th international conference on the theory and application of cryptology and information security, Taipei, Taiwan, December 5–9, 2022. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 13792, 340-370 (2023). MSC: 94A60 PDFBibTeX XMLCite \textit{G. Zeng} et al., Lect. Notes Comput. Sci. 13792, 340--370 (2023; Zbl 1519.94200) Full Text: DOI
Bekos, Michael A.; Da Lozzo, Giordano; Frati, Fabrizio; Gronemann, Martin; Mchedlidze, Tamara; Raftopoulou, Chrysanthi N. Recognizing DAGs with page-number 2 is NP-complete. (English) Zbl 07727773 Angelini, Patrizio (ed.) et al., Graph drawing and network visualization. 30th international symposium, GD 2022, Tokyo, Japan, September 13–16, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13764, 361-370 (2023). MSC: 68R10 68U05 PDFBibTeX XMLCite \textit{M. A. Bekos} et al., Lect. Notes Comput. Sci. 13764, 361--370 (2023; Zbl 07727773) Full Text: DOI
Duttweiler, Luke; Thurston, Sally W.; Almudevar, Anthony Spectral Bayesian network theory. (English) Zbl 1518.05115 Linear Algebra Appl. 674, 282-303 (2023). MSC: 05C50 05C22 62H22 62H10 60C05 PDFBibTeX XMLCite \textit{L. Duttweiler} et al., Linear Algebra Appl. 674, 282--303 (2023; Zbl 1518.05115) Full Text: DOI arXiv
Choi, Semin; Kim, Yesool; Park, Gunwoong Densely connected sub-Gaussian linear structural equation model learning via \(\ell_1\)- and \(\ell_2\)-regularized regressions. (English) Zbl 07710146 Comput. Stat. Data Anal. 181, Article ID 107691, 22 p. (2023). MSC: 62-08 PDFBibTeX XMLCite \textit{S. Choi} et al., Comput. Stat. Data Anal. 181, Article ID 107691, 22 p. (2023; Zbl 07710146) Full Text: DOI
Chirvasitu, Alexandru Tree-optimized labeled directed graphs. (English) Zbl 1527.05101 J. Comb. Optim. 45, No. 4, Paper No. 107, 10 p. (2023). MSC: 05C35 05C20 05C30 PDFBibTeX XMLCite \textit{A. Chirvasitu}, J. Comb. Optim. 45, No. 4, Paper No. 107, 10 p. (2023; Zbl 1527.05101) Full Text: DOI arXiv
Aslani, Babak; Mohebbi, Shima Ensemble framework for causality learning with heterogeneous directed acyclic graphs through the lens of optimization. (English) Zbl 07706558 Comput. Oper. Res. 152, Article ID 106148, 24 p. (2023). MSC: 90Bxx PDFBibTeX XMLCite \textit{B. Aslani} and \textit{S. Mohebbi}, Comput. Oper. Res. 152, Article ID 106148, 24 p. (2023; Zbl 07706558) Full Text: DOI
Katsevich, Eugene; Sabatti, Chiara; Bogomolov, Marina Filtering the rejection set while preserving false discovery rate control. (English) Zbl 1514.62145 J. Am. Stat. Assoc. 118, No. 541, 165-176 (2023). MSC: 62J15 62P10 PDFBibTeX XMLCite \textit{E. Katsevich} et al., J. Am. Stat. Assoc. 118, No. 541, 165--176 (2023; Zbl 1514.62145) Full Text: DOI arXiv
Chitnis, Rajesh A tight lower bound for edge-disjoint paths on planar DAGs. (English) Zbl 07690454 SIAM J. Discrete Math. 37, No. 2, 556-572 (2023). MSC: 68W25 05C85 68W40 05C20 PDFBibTeX XMLCite \textit{R. Chitnis}, SIAM J. Discrete Math. 37, No. 2, 556--572 (2023; Zbl 07690454) Full Text: DOI
Bhore, Sujoy; Da Lozzo, Giordano; Montecchiani, Fabrizio; Nöllenburg, Martin On the upward book thickness problem: combinatorial and complexity results. (English) Zbl 1512.05302 Eur. J. Comb. 110, Article ID 103662, 23 p. (2023). MSC: 05C62 68R10 68Q25 PDFBibTeX XMLCite \textit{S. Bhore} et al., Eur. J. Comb. 110, Article ID 103662, 23 p. (2023; Zbl 1512.05302) Full Text: DOI
Aksoy, Sinan G.; Bennink, Ryan; Chen, Yuzhou; Frías, José; Gel, Yulia R.; Kay, Bill; Naumann, Uwe; Ortiz Marrero, Carlos; Petyuk, Anthony V.; Roy, Sandip; Segovia-Dominguez, Ignacio; Veldt, Nate; Young, Stephen J. Seven open problems in applied combinatorics. (English) Zbl 1511.05224 J. Comb. 14, No. 4, 559-601 (2023). MSC: 05C90 05C65 65D25 65F10 65Y04 81P68 PDFBibTeX XMLCite \textit{S. G. Aksoy} et al., J. Comb. 14, No. 4, 559--601 (2023; Zbl 1511.05224) Full Text: DOI arXiv
Bekos, Michael A.; Da Lozzo, Giordano; Frati, Fabrizio; Gronemann, Martin; Mchedlidze, Tamara; Raftopoulou, Chrysanthi N. Recognizing DAGs with page-number 2 is NP-complete. (English) Zbl 1512.68190 Theor. Comput. Sci. 946, Article ID 113689, 11 p. (2023). MSC: 68R10 68Q17 PDFBibTeX XMLCite \textit{M. A. Bekos} et al., Theor. Comput. Sci. 946, Article ID 113689, 11 p. (2023; Zbl 1512.68190) Full Text: DOI arXiv
Duarte, Eliana; Solus, Liam A new characterization of discrete decomposable graphical models. (English) Zbl 07640189 Proc. Am. Math. Soc. 151, No. 3, 1325-1338 (2023). MSC: 62R01 62H22 13P10 13P25 PDFBibTeX XMLCite \textit{E. Duarte} and \textit{L. Solus}, Proc. Am. Math. Soc. 151, No. 3, 1325--1338 (2023; Zbl 07640189) Full Text: DOI arXiv
Hsu, Kevin; Huang, Jing Obstructions for acyclic local tournament orientation completions. (English) Zbl 1504.05107 Discrete Math. 346, No. 2, Article ID 113220, 9 p. (2023). MSC: 05C20 PDFBibTeX XMLCite \textit{K. Hsu} and \textit{J. Huang}, Discrete Math. 346, No. 2, Article ID 113220, 9 p. (2023; Zbl 1504.05107) Full Text: DOI arXiv
Blažej, Václav; Choudhary, Pratibha; Knop, Dušan; Křišťan, Jan Matyáš; Suchý, Ondřej; Valla, Tomáš Polynomial kernels for tracking shortest paths. (English) Zbl 07609054 Inf. Process. Lett. 179, Article ID 106315, 6 p. (2023). MSC: 68R10 05C38 05C85 68Q27 PDFBibTeX XMLCite \textit{V. Blažej} et al., Inf. Process. Lett. 179, Article ID 106315, 6 p. (2023; Zbl 07609054) Full Text: DOI arXiv
Czumaj, Artur; Lingas, Andrzej On parallel time in population protocols. (English) Zbl 07609053 Inf. Process. Lett. 179, Article ID 106314, 5 p. (2023). MSC: 68M14 68Q25 68R10 68W20 PDFBibTeX XMLCite \textit{A. Czumaj} and \textit{A. Lingas}, Inf. Process. Lett. 179, Article ID 106314, 5 p. (2023; Zbl 07609053) Full Text: DOI arXiv
Chen, Xi; Randolph, Tim; Servedio, Rocco A.; Sun, Timothy A lower bound on cycle-finding in sparse digraphs. (English) Zbl 07758425 ACM Trans. Algorithms 18, No. 4, Paper No. 31, 23 p. (2022). MSC: 68-XX PDFBibTeX XMLCite \textit{X. Chen} et al., ACM Trans. Algorithms 18, No. 4, Paper No. 31, 23 p. (2022; Zbl 07758425) Full Text: DOI
Afshar, Ramtin; Goodrich, Michael T. Exact learning of multitrees and almost-trees using path queries. (English) Zbl 07719351 Castañeda, Armando (ed.) et al., Latin 2022: theoretical informatics. 15th Latin American symposium, Guanajuato, Mexico, November 7–11, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13568, 293-311 (2022). MSC: 68Qxx 68Rxx 68Wxx PDFBibTeX XMLCite \textit{R. Afshar} and \textit{M. T. Goodrich}, Lect. Notes Comput. Sci. 13568, 293--311 (2022; Zbl 07719351) Full Text: DOI arXiv
Shi, Chengchun; Li, Lexin Testing mediation effects using logic of Boolean matrices. (English) Zbl 1515.62120 J. Am. Stat. Assoc. 117, No. 540, 2014-2027 (2022). MSC: 62P10 62H22 62M40 92C55 PDFBibTeX XMLCite \textit{C. Shi} and \textit{L. Li}, J. Am. Stat. Assoc. 117, No. 540, 2014--2027 (2022; Zbl 1515.62120) Full Text: DOI arXiv
Chen, Zhi-Ming; Lee, Cheng-Hsiung; Lai, Hung-Lin Speedup the optimization of maximal closure of a node-weighted directed acyclic graph. (English) Zbl 07702290 Opsearch 59, No. 4, 1413-1437 (2022). MSC: 90Bxx PDFBibTeX XMLCite \textit{Z.-M. Chen} et al., Opsearch 59, No. 4, 1413--1437 (2022; Zbl 07702290) Full Text: DOI
Peruzzi, Michele; Dunson, David B. Spatial multivariate trees for big data Bayesian regression. (English) Zbl 07625170 J. Mach. Learn. Res. 23, Paper No. 17, 40 p. (2022). MSC: 68T05 PDFBibTeX XMLCite \textit{M. Peruzzi} and \textit{D. B. Dunson}, J. Mach. Learn. Res. 23, Paper No. 17, 40 p. (2022; Zbl 07625170) Full Text: arXiv Link
Fernandes, Cristina G.; Lintzmayer, Carla N. Leafy spanning arborescences in DAGs. (English) Zbl 07610743 Discrete Appl. Math. 323, 217-227 (2022). MSC: 68R10 68W25 05C20 05C82 PDFBibTeX XMLCite \textit{C. G. Fernandes} and \textit{C. N. Lintzmayer}, Discrete Appl. Math. 323, 217--227 (2022; Zbl 07610743) Full Text: DOI
Gische, Christian; Voelkle, Manuel C. Beyond the mean: a flexible framework for studying causal effects using linear models. (English) Zbl 1496.62202 Psychometrika 87, No. 3, 868-901 (2022); erratum ibid. 87, No. 3, 902 (2022). MSC: 62P15 62D20 62J05 62H12 PDFBibTeX XMLCite \textit{C. Gische} and \textit{M. C. Voelkle}, Psychometrika 87, No. 3, 868--901 (2022; Zbl 1496.62202) Full Text: DOI
Gutierrez, Abraham; Müller, Sebastian Estimations of means and variances in a Markov linear model. (English) Zbl 1496.62095 Stoch. Qual. Control 37, No. 1, 21-43 (2022). MSC: 62H12 62J99 62M05 60F05 60J20 PDFBibTeX XMLCite \textit{A. Gutierrez} and \textit{S. Müller}, Stoch. Qual. Control 37, No. 1, 21--43 (2022; Zbl 1496.62095) Full Text: DOI arXiv
Lee, Kuang-Yao; Li, Lexin Functional structural equation model. (English) Zbl 07593424 J. R. Stat. Soc., Ser. B, Stat. Methodol. 84, No. 2, 600-629 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{K.-Y. Lee} and \textit{L. Li}, J. R. Stat. Soc., Ser. B, Stat. Methodol. 84, No. 2, 600--629 (2022; Zbl 07593424) Full Text: DOI
Korenblit, Mark; Levit, Vadim E. On lengths of edge-labeled graph expressions. (English) Zbl 1494.05096 Discrete Appl. Math. 319, 583-594 (2022). MSC: 05C78 05C25 05C20 68R10 68Q25 PDFBibTeX XMLCite \textit{M. Korenblit} and \textit{V. E. Levit}, Discrete Appl. Math. 319, 583--594 (2022; Zbl 1494.05096) Full Text: DOI
Li, Yuqing; Luo, Tao; Ma, Chao Nonlinear weighted directed acyclic graph and a priori estimates for neural networks. (English) Zbl 1491.68184 SIAM J. Math. Data Sci. 4, No. 2, 694-720 (2022). MSC: 68T07 05C82 41A46 PDFBibTeX XMLCite \textit{Y. Li} et al., SIAM J. Math. Data Sci. 4, No. 2, 694--720 (2022; Zbl 1491.68184) Full Text: DOI arXiv
Loper, J. H.; Lei, L.; Fithian, W.; Tansey, W. Smoothed nested testing on directed acyclic graphs. (English) Zbl 07543334 Biometrika 109, No. 2, 457-471 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{J. H. Loper} et al., Biometrika 109, No. 2, 457--471 (2022; Zbl 07543334) Full Text: DOI arXiv
Lee, Yi-Lin An extension of the Lindström-Gessel-Viennot theorem. (English) Zbl 1491.05099 Electron. J. Comb. 29, No. 2, Research Paper P2.41, 31 p. (2022). MSC: 05C22 05C20 05C62 05A15 05C30 05C38 PDFBibTeX XMLCite \textit{Y.-L. Lee}, Electron. J. Comb. 29, No. 2, Research Paper P2.41, 31 p. (2022; Zbl 1491.05099) Full Text: DOI arXiv
Ingels, Florian; Azaïs, Romain Enumeration of irredundant forests. (English) Zbl 07540214 Theor. Comput. Sci. 922, 312-334 (2022). MSC: 68Qxx PDFBibTeX XMLCite \textit{F. Ingels} and \textit{R. Azaïs}, Theor. Comput. Sci. 922, 312--334 (2022; Zbl 07540214) Full Text: DOI arXiv
Gelbukh, Irina Criterion for a graph to admit a good orientation in terms of leaf blocks. (English) Zbl 1490.05097 Monatsh. Math. 198, No. 1, 61-77 (2022). MSC: 05C20 05C90 57R35 PDFBibTeX XMLCite \textit{I. Gelbukh}, Monatsh. Math. 198, No. 1, 61--77 (2022; Zbl 1490.05097) Full Text: DOI
Araujo-Pardo, Gabriela; Montellano-Ballesteros, Juan José; Olsen, Mika; Rubio-Montiel, Christian The digrundy number of digraphs. (English) Zbl 1490.05092 Discrete Appl. Math. 317, 117-123 (2022). MSC: 05C20 05C15 PDFBibTeX XMLCite \textit{G. Araujo-Pardo} et al., Discrete Appl. Math. 317, 117--123 (2022; Zbl 1490.05092) Full Text: DOI arXiv
Kim, Jaehoon; Lee, Hyunwoo; Seo, Jaehyeon On 1-subdivisions of transitive tournaments. (English) Zbl 1486.05118 Electron. J. Comb. 29, No. 1, Research Paper P1.51, 9 p. (2022). MSC: 05C20 05C35 05D10 05C55 PDFBibTeX XMLCite \textit{J. Kim} et al., Electron. J. Comb. 29, No. 1, Research Paper P1.51, 9 p. (2022; Zbl 1486.05118) Full Text: DOI arXiv
Améndola, Carlos; Klüppelberg, Claudia; Lauritzen, Steffen; Tran, Ngoc M. Conditional independence in max-linear Bayesian networks. (English) Zbl 07493815 Ann. Appl. Probab. 32, No. 1, 1-45 (2022). MSC: 62H22 60G70 14T90 62R01 PDFBibTeX XMLCite \textit{C. Améndola} et al., Ann. Appl. Probab. 32, No. 1, 1--45 (2022; Zbl 07493815) Full Text: DOI arXiv
Castelletti, Federico; Consonni, Guido Bayesian causal inference in probit graphical models. (English) Zbl 07808148 Bayesian Anal. 16, No. 4, 1113-1137 (2021). MSC: 62-XX PDFBibTeX XMLCite \textit{F. Castelletti} and \textit{G. Consonni}, Bayesian Anal. 16, No. 4, 1113--1137 (2021; Zbl 07808148) Full Text: DOI arXiv Link
Wang, Xiaokang; Wang, Huiwen; Wang, Zhichao; Lu, Shan; Fan, Ying Risk spillover network structure learning for correlated financial assets: a directed acyclic graph approach. (English) Zbl 07786195 Inf. Sci. 580, 152-173 (2021). MSC: 62-XX 91-XX PDFBibTeX XMLCite \textit{X. Wang} et al., Inf. Sci. 580, 152--173 (2021; Zbl 07786195) Full Text: DOI
Zhou, Yan; Song, Peter X.-K.; Wen, Xiaoquan Structural factor equation models for causal network construction via directed acyclic mixed graphs. (English) Zbl 1520.62416 Biometrics 77, No. 2, 573-586 (2021). MSC: 62P10 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Biometrics 77, No. 2, 573--586 (2021; Zbl 1520.62416) Full Text: DOI
Castelletti, Federico; Consonni, Guido Bayesian inference of causal effects from observational data in Gaussian graphical models. (English) Zbl 1520.62149 Biometrics 77, No. 1, 136-149 (2021). MSC: 62P10 PDFBibTeX XMLCite \textit{F. Castelletti} and \textit{G. Consonni}, Biometrics 77, No. 1, 136--149 (2021; Zbl 1520.62149) Full Text: DOI
Bang-Jensen, Jørgen; Bessy, Stéphane; Huang, Jing; Kriesell, Matthias Good orientations of unions of edge-disjoint spanning trees. (English) Zbl 1521.05053 J. Graph Theory 96, No. 4, 594-618 (2021). MSC: 05C20 05B35 05C70 PDFBibTeX XMLCite \textit{J. Bang-Jensen} et al., J. Graph Theory 96, No. 4, 594--618 (2021; Zbl 1521.05053) Full Text: DOI
Dong, Fengming; Ge, Jun; Gong, Helin; Ning, Bo; Ouyang, Zhangdong; Tay, Eng Guan Proving a conjecture on chromatic polynomials by counting the number of acyclic orientations. (English) Zbl 1521.05054 J. Graph Theory 96, No. 3, 343-360 (2021). MSC: 05C20 05C31 PDFBibTeX XMLCite \textit{F. Dong} et al., J. Graph Theory 96, No. 3, 343--360 (2021; Zbl 1521.05054) Full Text: DOI
Mwangi, Paul; Kamaku, Waweru; Nyaga, Lewis The non-negative \(P_0\)-matrix completion problem for \(5\times 5\) matrices specifying digraphs with 5 vertices and 4 arcs for acyclic digraphs. (English) Zbl 1504.05111 Int. J. Adv. Appl. Math. Mech. 9, No. 1, 1-5 (2021). MSC: 05C20 05C21 PDFBibTeX XMLCite \textit{P. Mwangi} et al., Int. J. Adv. Appl. Math. Mech. 9, No. 1, 1--5 (2021; Zbl 1504.05111) Full Text: Link
Li, Yujian; Shan, Chuanhui; Li, Houjun; Ou, Jun A capsule-unified framework of deep neural networks for graphical programming. (English) Zbl 1498.68282 Soft Comput. 25, No. 5, 3849-3871 (2021). MSC: 68T07 PDFBibTeX XMLCite \textit{Y. Li} et al., Soft Comput. 25, No. 5, 3849--3871 (2021; Zbl 1498.68282) Full Text: DOI arXiv
Gogoshin, Grigoriy; Branciamore, Sergio; Rodin, Andrei S. Synthetic data generation with probabilistic Bayesian networks. (English) Zbl 1501.92035 Math. Biosci. Eng. 18, No. 6, 8603-8621 (2021). MSC: 92C42 92-08 05C90 PDFBibTeX XMLCite \textit{G. Gogoshin} et al., Math. Biosci. Eng. 18, No. 6, 8603--8621 (2021; Zbl 1501.92035) Full Text: DOI
Rizzi, Romeo; Tomescu, Alexandru I. Random generation of essential directed acyclic graphs. (English) Zbl 1492.05057 Rend. Ist. Mat. Univ. Trieste 53, Paper No. 22, 8 p. (2021). MSC: 05C20 05C30 68R10 05C80 62F15 PDFBibTeX XMLCite \textit{R. Rizzi} and \textit{A. I. Tomescu}, Rend. Ist. Mat. Univ. Trieste 53, Paper No. 22, 8 p. (2021; Zbl 1492.05057) Full Text: DOI
Cáceres, Manuel; Cairo, Massimo; Mumey, Brendan; Rizzi, Romeo; Tomescu, Alexandru I. A linear-time parameterized algorithm for computing the width of a DAG. (English) Zbl 07538582 Kowalik, Łukasz (ed.) et al., Graph-theoretic concepts in computer science. 47th international workshop, WG 2021, Warsaw, Poland, June 23–25, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12911, 257-269 (2021). MSC: 68R10 PDFBibTeX XMLCite \textit{M. Cáceres} et al., Lect. Notes Comput. Sci. 12911, 257--269 (2021; Zbl 07538582) Full Text: DOI arXiv
Krajewska, Antonina Learning causal theories with non-reversible MCMC methods. (English) Zbl 07504940 Control Cybern. 50, No. 3, 323-361 (2021). MSC: 62-XX PDFBibTeX XMLCite \textit{A. Krajewska}, Control Cybern. 50, No. 3, 323--361 (2021; Zbl 07504940)
Tsitsiashvili, G. Sh.; Osipova, M. A. Optimal algorithm for converting an acyclic digraph to a cluster. (Russian. English summary) Zbl 1486.05295 Prikl. Diskretn. Mat. 2021, No. 54, 94-98 (2021). MSC: 05C85 05C20 05C45 05C70 68W05 PDFBibTeX XMLCite \textit{G. Sh. Tsitsiashvili} and \textit{M. A. Osipova}, Prikl. Diskretn. Mat. 2021, No. 54, 94--98 (2021; Zbl 1486.05295) Full Text: DOI MNR
Zareifard, Hamid; Rezaei Tabar, Vahid; Plewczynski, Dariusz A Gibbs sampler for learning DAG: a unification for discrete and Gaussian domains. (English) Zbl 07497083 J. Stat. Comput. Simulation 91, No. 14, 2833-2853 (2021). MSC: 62-XX PDFBibTeX XMLCite \textit{H. Zareifard} et al., J. Stat. Comput. Simulation 91, No. 14, 2833--2853 (2021; Zbl 07497083) Full Text: DOI
Antunović, Suzana; Vukičević, Damir Evaluating topological ordering in directed acyclic graphs. (English) Zbl 1481.05060 Electron. J. Graph Theory Appl. 9, No. 2, 567-580 (2021). MSC: 05C20 05C35 05C12 94C15 PDFBibTeX XMLCite \textit{S. Antunović} and \textit{D. Vukičević}, Electron. J. Graph Theory Appl. 9, No. 2, 567--580 (2021; Zbl 1481.05060) Full Text: DOI
Al’Dzhabri, Kh. Sh. Enumeration of connected components of acyclic digraph. (English) Zbl 1483.05081 J. Discrete Math. Sci. Cryptography 24, No. 7, 2047-2058 (2021). MSC: 05C30 05C20 05C40 PDFBibTeX XMLCite \textit{Kh. Sh. Al'Dzhabri}, J. Discrete Math. Sci. Cryptography 24, No. 7, 2047--2058 (2021; Zbl 1483.05081) Full Text: DOI
Solus, L.; Wang, Y.; Uhler, C. Consistency guarantees for greedy permutation-based causal inference algorithms. (English) Zbl 07459733 Biometrika 108, No. 4, 795-814 (2021). MSC: 62-XX PDFBibTeX XMLCite \textit{L. Solus} et al., Biometrika 108, No. 4, 795--814 (2021; Zbl 07459733) Full Text: DOI arXiv
King, Christopher The fluid limit of a random graph model for a shared ledger. (English) Zbl 1496.60007 Adv. Appl. Probab. 53, No. 1, 81-106 (2021). MSC: 60C05 05C80 PDFBibTeX XMLCite \textit{C. King}, Adv. Appl. Probab. 53, No. 1, 81--106 (2021; Zbl 1496.60007) Full Text: DOI arXiv
Castelletti, Federico; Mascaro, Alessandro Structural learning and estimation of joint causal effects among network-dependent variables. (English) Zbl 1477.62393 Stat. Methods Appl. 30, No. 5, 1289-1314 (2021). MSC: 62R07 62F15 62H22 68T35 PDFBibTeX XMLCite \textit{F. Castelletti} and \textit{A. Mascaro}, Stat. Methods Appl. 30, No. 5, 1289--1314 (2021; Zbl 1477.62393) Full Text: DOI
Billstein, Andreas; Schrader, Rainer A note on integral generalized flows in directed partial 2-trees. (English) Zbl 1478.90135 Inf. Process. Lett. 172, Article ID 106147, 6 p. (2021). MSC: 90C35 05C21 05C85 PDFBibTeX XMLCite \textit{A. Billstein} and \textit{R. Schrader}, Inf. Process. Lett. 172, Article ID 106147, 6 p. (2021; Zbl 1478.90135) Full Text: DOI
Buck, Johannes; Klüppelberg, Claudia Recursive max-linear models with propagating noise. (English) Zbl 1471.62353 Electron. J. Stat. 15, No. 2, 4770-4822 (2021). MSC: 62G32 62G08 62M10 62H22 60G70 PDFBibTeX XMLCite \textit{J. Buck} and \textit{C. Klüppelberg}, Electron. J. Stat. 15, No. 2, 4770--4822 (2021; Zbl 1471.62353) Full Text: DOI arXiv Link
Cao, Xuan; Lee, Kyoungjae Joint Bayesian variable and DAG selection consistency for high-dimensional regression models with network-structured covariates. (English) Zbl 1475.62115 Stat. Sin. 31, No. 3, 1509-1530 (2021). MSC: 62F07 62F15 05C90 PDFBibTeX XMLCite \textit{X. Cao} and \textit{K. Lee}, Stat. Sin. 31, No. 3, 1509--1530 (2021; Zbl 1475.62115) Full Text: DOI arXiv
Korchmaros, Annachiara The structure of 2-colored best match graphs. (English) Zbl 1473.05111 Discrete Appl. Math. 304, 397-416 (2021). MSC: 05C20 05C10 92D10 92D15 05C90 PDFBibTeX XMLCite \textit{A. Korchmaros}, Discrete Appl. Math. 304, 397--416 (2021; Zbl 1473.05111) Full Text: DOI arXiv
Park, Gunwoong; Moon, Sang Jun; Park, Sion; Jeon, Jong-June Learning a high-dimensional linear structural equation model via \(\ell_1\)-regularized regression. (English) Zbl 07370619 J. Mach. Learn. Res. 22, Paper No. 102, 41 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{G. Park} et al., J. Mach. Learn. Res. 22, Paper No. 102, 41 p. (2021; Zbl 07370619) Full Text: Link
Agarwal, Chirag; Klobusicky, Joe; Schonfeld, Dan Convergence of back-propagation with momentum for network architectures with skip connections. (English) Zbl 1474.68013 J. Comput. Math. 39, No. 1, 147-158 (2021). MSC: 68M07 68R10 68T07 PDFBibTeX XMLCite \textit{C. Agarwal} et al., J. Comput. Math. 39, No. 1, 147--158 (2021; Zbl 1474.68013) Full Text: DOI arXiv
Gissibl, Nadine; Klüppelberg, Claudia; Lauritzen, Steffen Identifiability and estimation of recursive max-linear models. (English) Zbl 1467.62105 Scand. J. Stat. 48, No. 1, 188-211 (2021). MSC: 62H22 62G32 05C90 PDFBibTeX XMLCite \textit{N. Gissibl} et al., Scand. J. Stat. 48, No. 1, 188--211 (2021; Zbl 1467.62105) Full Text: DOI arXiv
Kim, Yonghwan; Shibata, Masahiro; Sudo, Yuichi; Nakamura, Junya; Katayama, Yoshiaki; Masuzawa, Toshimitsu A self-stabilizing algorithm for constructing a minimal reachable directed acyclic graph with two senders and two targets. (English) Zbl 1504.68173 Theor. Comput. Sci. 874, 1-14 (2021). MSC: 68R10 PDFBibTeX XMLCite \textit{Y. Kim} et al., Theor. Comput. Sci. 874, 1--14 (2021; Zbl 1504.68173) Full Text: DOI
Parsa, Esmaeil; Kayll, P. Mark On random digraphs and cores. (English) Zbl 1465.05164 Australas. J. Comb. 79, Part 3, 371-379 (2021). MSC: 05C80 05C20 PDFBibTeX XMLCite \textit{E. Parsa} and \textit{P. M. Kayll}, Australas. J. Comb. 79, Part 3, 371--379 (2021; Zbl 1465.05164) Full Text: arXiv Link
Wang, Bingling; Zhou, Qing Causal network learning with non-invertible functional relationships. (English) Zbl 1510.62106 Comput. Stat. Data Anal. 156, Article ID 107141, 18 p. (2021). MSC: 62D20 68T05 PDFBibTeX XMLCite \textit{B. Wang} and \textit{Q. Zhou}, Comput. Stat. Data Anal. 156, Article ID 107141, 18 p. (2021; Zbl 1510.62106) Full Text: DOI arXiv
Huang, Xianzheng; Zhang, Hongmei Tests for differential Gaussian Bayesian networks based on quadratic inference functions. (English) Zbl 1510.62046 Comput. Stat. Data Anal. 159, Article ID 107209, 17 p. (2021). MSC: 62-08 62H15 62P10 PDFBibTeX XMLCite \textit{X. Huang} and \textit{H. Zhang}, Comput. Stat. Data Anal. 159, Article ID 107209, 17 p. (2021; Zbl 1510.62046) Full Text: DOI
Hapla, Vaclav; Knepley, Matthew G.; Afanasiev, Michael; Boehm, Christian; van Driel, Martin; Krischer, Lion; Fichtner, Andreas Fully parallel mesh I/O using PETSc DMPlex with an application to waveform modeling. (English) Zbl 1462.65005 SIAM J. Sci. Comput. 43, No. 2, C127-C153 (2021). MSC: 65-04 65Y05 65M50 05C90 35L05 PDFBibTeX XMLCite \textit{V. Hapla} et al., SIAM J. Sci. Comput. 43, No. 2, C127--C153 (2021; Zbl 1462.65005) Full Text: DOI arXiv
Erdös, Péter L.; Francis, Andrew; Mezei, Tamás Róbert Rooted NNI moves and distance-1 tail moves on tree-based phylogenetic networks. (English) Zbl 1460.92140 Discrete Appl. Math. 294, 205-213 (2021). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92D15 92C42 05C90 PDFBibTeX XMLCite \textit{P. L. Erdös} et al., Discrete Appl. Math. 294, 205--213 (2021; Zbl 1460.92140) Full Text: DOI arXiv
Klüppelberg, Claudia; Krali, Mario Estimating an extreme Bayesian network via scalings. (English) Zbl 1461.62083 J. Multivariate Anal. 181, Article ID 104672, 23 p. (2021). MSC: 62H22 62R01 62G30 62G32 60G70 60F10 65S05 05C90 62P10 62P05 PDFBibTeX XMLCite \textit{C. Klüppelberg} and \textit{M. Krali}, J. Multivariate Anal. 181, Article ID 104672, 23 p. (2021; Zbl 1461.62083) Full Text: DOI arXiv
Liu, Xujun; Machado, Roberto Assis; Milenkovic, Olgica Directed intersection representations and the information content of digraphs. (English) Zbl 1465.05070 IEEE Trans. Inf. Theory 67, No. 1, 347-357 (2021). MSC: 05C20 05C69 94C15 PDFBibTeX XMLCite \textit{X. Liu} et al., IEEE Trans. Inf. Theory 67, No. 1, 347--357 (2021; Zbl 1465.05070) Full Text: DOI arXiv
Döcker, Janosch; Linz, Simone; Semple, Charles Display sets of normal and tree-child networks. (English) Zbl 1456.05154 Electron. J. Comb. 28, No. 1, Research Paper P1.8, 21 p. (2021). MSC: 05C82 05C20 05C85 92D15 92C42 PDFBibTeX XMLCite \textit{J. Döcker} et al., Electron. J. Comb. 28, No. 1, Research Paper P1.8, 21 p. (2021; Zbl 1456.05154) Full Text: DOI arXiv
Asahiro, Yuichi; Furukawa, Tetsuya; Ikegami, Keiichi; Miyano, Eiji; Yagita, Tsuyoshi How to pack directed acyclic graphs into small blocks. (English) Zbl 1451.05188 Discrete Appl. Math. 288, 91-113 (2021). MSC: 05C70 05C85 68Q17 PDFBibTeX XMLCite \textit{Y. Asahiro} et al., Discrete Appl. Math. 288, 91--113 (2021; Zbl 1451.05188) Full Text: DOI
Elvey Price, Andrew; Fang, Wenjie; Wallner, Michael Compacted binary trees admit a stretched exponential. (English) Zbl 1448.05034 J. Comb. Theory, Ser. A 177, Article ID 105306, 40 p. (2021). MSC: 05C05 05C20 05C38 05C85 68Q45 PDFBibTeX XMLCite \textit{A. Elvey Price} et al., J. Comb. Theory, Ser. A 177, Article ID 105306, 40 p. (2021; Zbl 1448.05034) Full Text: DOI arXiv
Castelletti, Federico Bayesian model selection of Gaussian directed acyclic graph structures. (English) Zbl 1528.62030 Int. Stat. Rev. 88, No. 3, 752-775 (2020). MSC: 62H22 62F15 65C05 PDFBibTeX XMLCite \textit{F. Castelletti}, Int. Stat. Rev. 88, No. 3, 752--775 (2020; Zbl 1528.62030) Full Text: DOI
Eppstein, David; Frishberg, Daniel; Havvaei, Elham Simplifying activity-on-edge graphs. (English) Zbl 07759292 Albers, Susanne (ed.), 17th Scandinavian symposium and workshops on algorithm theory, SWAT 2020, Tórshavn, Faroe Islands, June 22–24, 2020. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 162, Article 24, 14 p. (2020). MSC: 68Wxx PDFBibTeX XMLCite \textit{D. Eppstein} et al., LIPIcs -- Leibniz Int. Proc. Inform. 162, Article 24, 14 p. (2020; Zbl 07759292) Full Text: DOI arXiv
Conte, Alessio; Crescenzi, Pierluigi; Marino, Andrea; Punzi, Giulia Enumeration of \(s\)-\(d\) separators in DAGs with application to reliability analysis in temporal graphs. (English) Zbl 07559396 Esparza, Javier (ed.) et al., 45th international symposium on mathematical foundations of computer science, MFCS 2020, August 25–26, 2020, Prague, Czech Republic. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 170, Article 25, 14 p. (2020). MSC: 68Qxx PDFBibTeX XMLCite \textit{A. Conte} et al., LIPIcs -- Leibniz Int. Proc. Inform. 170, Article 25, 14 p. (2020; Zbl 07559396) Full Text: DOI
Grusho, Alexander; Grusho, Nick; Zabezhailo, Michael; Timonina, Elena Generation of metadata for network control. (English) Zbl 1490.68038 Vishnevskiy, Vladimir M. (ed.) et al., Distributed computer and communication networks. 23rd international conference, DCCN 2020, Moscow, Russia, September 14–18, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12563, 723-735 (2020). MSC: 68M10 68M25 68R10 PDFBibTeX XMLCite \textit{A. Grusho} et al., Lect. Notes Comput. Sci. 12563, 723--735 (2020; Zbl 1490.68038) Full Text: DOI
Kuroki, Manabu; Nanmo, Hisayoshi Variance formulas for estimated mean response and predicted response with external intervention based on the back-door criterion in linear structural equation models. (English) Zbl 1476.62159 AStA, Adv. Stat. Anal. 104, No. 4, 667-685 (2020). MSC: 62J10 62P30 05C90 PDFBibTeX XMLCite \textit{M. Kuroki} and \textit{H. Nanmo}, AStA, Adv. Stat. Anal. 104, No. 4, 667--685 (2020; Zbl 1476.62159) Full Text: DOI
Lu, Ruiqi; Zhu, Chenyan; Cai, Hailin; Zhou, Jiawei; Jiang, Junqiang Time optimization for workflow scheduling based on the combination of task attributes. (English) Zbl 1474.90158 J. Southeast Univ., Engl. Ed. 36, No. 4, 399-406 (2020). MSC: 90B35 90C59 PDFBibTeX XMLCite \textit{R. Lu} et al., J. Southeast Univ., Engl. Ed. 36, No. 4, 399--406 (2020; Zbl 1474.90158) Full Text: DOI
Zhang, Longxin; Zhou, Liqian; Salah, Ahmad Efficient scientific workflow scheduling for deadline-constrained parallel tasks in cloud computing environments. (English) Zbl 1459.68025 Inf. Sci. 531, 31-46 (2020). MSC: 68M20 68M11 PDFBibTeX XMLCite \textit{L. Zhang} et al., Inf. Sci. 531, 31--46 (2020; Zbl 1459.68025) Full Text: DOI
Steiner, Raphael A note on graphs of dichromatic number 2. (English) Zbl 1464.05167 Discrete Math. Theor. Comput. Sci. 22, No. 4, Paper No. 11, 8 p. (2020). MSC: 05C20 05C15 05C10 05C83 PDFBibTeX XMLCite \textit{R. Steiner}, Discrete Math. Theor. Comput. Sci. 22, No. 4, Paper No. 11, 8 p. (2020; Zbl 1464.05167) Full Text: DOI arXiv Link
Gu, Jiaying; Zhou, Qing Learning big Gaussian Bayesian networks: partition, estimation and fusion. (English) Zbl 07307465 J. Mach. Learn. Res. 21, Paper No. 158, 31 p. (2020). MSC: 68T05 PDFBibTeX XMLCite \textit{J. Gu} and \textit{Q. Zhou}, J. Mach. Learn. Res. 21, Paper No. 158, 31 p. (2020; Zbl 07307465) Full Text: arXiv Link
Qiu, Yue; Grundel, Sara; Stoll, Martin; Benner, Peter Efficient numerical methods for gas network modeling and simulation. (English) Zbl 1457.76013 Netw. Heterog. Media 15, No. 4, 653-679 (2020). MSC: 76-10 65L80 65F08 37M05 37N30 76N15 90B10 PDFBibTeX XMLCite \textit{Y. Qiu} et al., Netw. Heterog. Media 15, No. 4, 653--679 (2020; Zbl 1457.76013) Full Text: DOI arXiv
Peluso, Stefano; Consonni, Guido Compatible priors for model selection of high-dimensional Gaussian DAGs. (English) Zbl 1455.62062 Electron. J. Stat. 14, No. 2, 4110-4132 (2020). MSC: 62F15 62F07 62H22 PDFBibTeX XMLCite \textit{S. Peluso} and \textit{G. Consonni}, Electron. J. Stat. 14, No. 2, 4110--4132 (2020; Zbl 1455.62062) Full Text: DOI Euclid
Park, Gunwoong Identifiability of additive noise models using conditional variances. (English) Zbl 1498.68256 J. Mach. Learn. Res. 21, Paper No. 75, 34 p. (2020). MSC: 68T05 62D20 62H12 62H22 PDFBibTeX XMLCite \textit{G. Park}, J. Mach. Learn. Res. 21, Paper No. 75, 34 p. (2020; Zbl 1498.68256) Full Text: Link
Lee, Kuang-Yao; Liu, Tianqi; Li, Bing; Zhao, Hongyu Learning causal networks via additive faithfulness. (English) Zbl 1475.68279 J. Mach. Learn. Res. 21, Paper No. 51, 38 p. (2020). Reviewer: Martin Holeňa (Praha) MSC: 68T05 46E22 62D20 62G05 62H22 PDFBibTeX XMLCite \textit{K.-Y. Lee} et al., J. Mach. Learn. Res. 21, Paper No. 51, 38 p. (2020; Zbl 1475.68279) Full Text: Link
Li, Chunlin; Shen, Xiaotong; Pan, Wei Likelihood ratio tests for a large directed acyclic graph. (English) Zbl 1441.62249 J. Am. Stat. Assoc. 115, No. 531, 1304-1319 (2020). MSC: 62M30 62P10 PDFBibTeX XMLCite \textit{C. Li} et al., J. Am. Stat. Assoc. 115, No. 531, 1304--1319 (2020; Zbl 1441.62249) Full Text: DOI Link
Vonjy, Rasendrahasina; Vlady, Ravelomanana Generating functions of some families of directed uniform hypergraphs. (English. French summary) Zbl 1447.05149 Sémin. Lothar. Comb. 84B, Article 72, 11 p. (2020). MSC: 05C65 05A15 05C78 05C20 05C38 05C40 05C30 PDFBibTeX XMLCite \textit{R. Vonjy} and \textit{R. Vlady}, Sémin. Lothar. Comb. 84B, Article 72, 11 p. (2020; Zbl 1447.05149) Full Text: arXiv Link
De Panafieu, Élie; Dovgal, Sergey Counting directed acyclic and elementary digraphs. (English) Zbl 1452.05087 Sémin. Lothar. Comb. 84B, Article 2, 12 p. (2020). Reviewer: Xueliang Li (Tianjin) MSC: 05C30 05C20 05C80 05D40 PDFBibTeX XMLCite \textit{É. De Panafieu} and \textit{S. Dovgal}, Sémin. Lothar. Comb. 84B, Article 2, 12 p. (2020; Zbl 1452.05087) Full Text: arXiv Link
Archer, Kassie; Gessel, Ira M.; Graves, Christina; Liang, Xuming Counting acyclic and strong digraphs by descents. (English) Zbl 1452.05073 Discrete Math. 343, No. 11, Article ID 112041, 14 p. (2020). Reviewer: Michael Wallner (Vienna) MSC: 05C20 05C40 05C30 05A15 PDFBibTeX XMLCite \textit{K. Archer} et al., Discrete Math. 343, No. 11, Article ID 112041, 14 p. (2020; Zbl 1452.05073) Full Text: DOI arXiv