Geir Dahl

• Brualdi, R.A. & Dahl, Geir (2020). Alternating Sign Matrices: Extensions, König-properties, and Primary Sum-Sequences. Graphs and Combinatorics.  ISSN 0911-0119.  36, s 63- 92 . doi: https://doi.org/10.1007/s00373-019-02119-x Fulltekst i vitenarkiv.
• Brualdi, R.A. & Dahl, Geir (2020). Permutation matrices, their discrete derivatives and extremal properties. Vietnam Journal of Mathematics.  ISSN 2305-221X. . doi: 10.1007/s10013-020-00392-5
• Ciardo, Lorenzo; Dahl, Geir & Kirkland, Steve (2020). On Kemeny's constant for trees with fixed order and diameter. Linear and multilinear algebra.  ISSN 0308-1087. . doi: 10.1080/03081087.2020.1796905
• Andrade, Enide; Ciardo, Lorenzo & Dahl, Geir (2019). Combinatorial Perron Parameters for Trees. Linear Algebra and its Applications.  ISSN 0024-3795.  566, s 138- 166 . doi: 10.1016/j.laa.2018.12.028 Fulltekst i vitenarkiv.
• Andrade, Enide; Dahl, Geir; Leal, Laura & Robbiano, Maria (2019). New bounds for the signless Laplacian spread. Linear Algebra and its Applications.  ISSN 0024-3795.  566, s 98- 120 . doi: 10.1016/j.laa.2018.12.019 Fulltekst i vitenarkiv.
• Dahl, Geir; Guterman, Alexander & Shteyner, Pavel (2019). Majorization for (0,1)-matrices. Linear Algebra and its Applications.  ISSN 0024-3795.  585, s 147- 163 . doi: 10.1016/j.laa.2019.09.038 Fulltekst i vitenarkiv.
• Brualdi, R.A. & Dahl, Geir (2018). Alternating Sign Matrices and Hypermatrices, and a Generalization of Latin Squares. Advances in Applied Mathematics.  ISSN 0196-8858.  95, s 116- 151 . doi: 10.1016/j.aam.2017.11.005 Fulltekst i vitenarkiv.
• Brualdi, R.A. & Dahl, Geir (2018). Alternating sign matrices, related (0,1)-matrices, and the Smith normal form. Linear Algebra and its Applications.  ISSN 0024-3795.  s 1- 19 . doi: 10.1016/j.laa.2018.03.027 Fulltekst i vitenarkiv.
• Brualdi, R.A. & Dahl, Geir (2018). The interval structure of (0,1)-matrices. Discrete Applied Mathematics.  ISSN 0166-218X. . doi: 10.1016/j.dam.2018.03.024 Fulltekst i vitenarkiv.
• Dahl, Geir; Guterman, Alexander & Shteyner, Pavel (2018). Majorization for matrix classes. Linear Algebra and its Applications.  ISSN 0024-3795.  555, s 201- 221 . doi: 10.1016/j.laa.2018.06.003 Fulltekst i vitenarkiv.
• Agra, Agostinho; Dahl, Geir; Haufmann, Torkel Andreas & Pinheiro, Sofia (2017). The k-regular induced subgraph problem. Discrete Applied Mathematics.  ISSN 0166-218X.  222, s 14- 30 . doi: 10.1016/j.dam.2017.01.029 Fulltekst i vitenarkiv.
• Brualdi, R.A. & Dahl, Geir (2017). Alternating sign matrices, extensions and related cones. Advances in Applied Mathematics.  ISSN 0196-8858.  86, s 19- 49 . doi: 10.1016/j.aam.2016.12.001 Fulltekst i vitenarkiv.
• Andrade, Enide & Dahl, Geir (2016). Combinatorial Perron values of trees and bottleneck matrices. Linear and multilinear algebra.  ISSN 0308-1087.  65(12), s 2387- 2405 . doi: 10.1080/03081087.2016.1274363 Fulltekst i vitenarkiv.
• Barragan, Luis A.; Dahl, Geir; Dominguez, Alberto & Otin, Arantxa (2016). Zero sum sign-central matrices and applications. Linear Algebra and its Applications.  ISSN 0024-3795.  505, s 109- 125 . doi: 10.1016/j.laa.2016.04.034 Fulltekst i vitenarkiv.
• Brualdi, Richard A.; Dahl, Geir & Fritscher, Eliseu (2016). Doubly Stochastic Matrices and the Bruhat Order. Czechoslovak Mathematical Journal.  ISSN 0011-4642.  66(3), s 681- 700 . doi: 10.1007/s10587-016-0286-6 Fulltekst i vitenarkiv.
• Dahl, Geir & Haufmann, Torkel Andreas (2016). Zero-one completely positive matrices and the A(R, S) classes. Special Matrices.  ISSN 2300-7451.  4(1), s 296- 304 . doi: 10.1515/spma-2016-0024 Fulltekst i vitenarkiv.
• Brualdi, Richard A. & Dahl, Geir (2015). Strict Sign-Central Matrices. SIAM Journal on Matrix Analysis and Applications.  ISSN 0895-4798.  36(3), s 1202- 1220 . doi: 10.1137/140995428
• Dahl, Geir (2015). L-rays of permutation matrices and doubly stochastic matrices. Linear Algebra and its Applications.  ISSN 0024-3795.  480, s 127- 143 . doi: 10.1016/j.laa.2015.04.033
• Abreu, Nair; Costa, Liliana; Dahl, Geir & Martins, Enide (2014). The skeleton of acyclic Birkhoff polytopes. Linear Algebra and its Applications.  ISSN 0024-3795.  457, s 29- 48 . doi: 10.1016/j.laa.2014.05.021
• Charina, Maria & Dahl, Geir (2014). Subdivision schemes, network flows and linear optimization. Advances in Computational Mathematics.  ISSN 1019-7168.  41, s 507- 528 . doi: 10.1007/s10444-014-9371-2
• Dahl, Geir (2014). The Laplacian energy of threshold graphs and majorization. Linear Algebra and its Applications.  ISSN 0024-3795.  469, s 518- 530 . doi: 10.1016/j.laa.2014.12.002
• Brualdi, Richard A. & Dahl, Geir (2013). An extension of the polytope of doubly stochastic matrices. Linear and multilinear algebra.  ISSN 0308-1087.  61(3), s 393- 408 . doi: 10.1080/03081087.2012.689980 Fulltekst i vitenarkiv.
• Brualdi, Richard A. & Dahl, Geir (2013). Majorization for partially ordered sets. Discrete Mathematics.  ISSN 0012-365X.  313(22), s 2592- 2601 . doi: 10.1016/j.disc.2013.08.003
• Dahl, Geir (2013). A note on majorization transforms and Ryser’s algorithm. Special Matrices.  ISSN 2300-7451.  1, s 17- 24 . doi: 10.2478/spma-2013-0004
• Dahl, Geir & Zhang, Fuzhen (2013). Integral majorization polytopes. Discrete Mathematics, Algorithms and Applications (DMAA).  ISSN 1793-8309.  5(3) . doi: 10.1142/s1793830913500195 Fulltekst i vitenarkiv.
• Benth, Fred Espen; Dahl, Geir & Mannino, Carlo (2012). Computing Optimal Recovery Policies for Financial Markets. Operations Research.  ISSN 0030-364X.  60(6), s 1373- 1388 . doi: 10.1287/opre.1120.1112
• Brualdi, R.A. & Dahl, Geir (2012). Majorization classes of integral matrices. Linear Algebra and its Applications.  ISSN 0024-3795.  436(4), s 802- 813 . doi: 10.1016/j.laa.2010.11.036
• Dahl, Geir (2012). A matrix-based ranking method with application to tennis. Linear Algebra and its Applications.  ISSN 0024-3795.  437(1), s 26- 36 . doi: 10.1016/j.laa.2012.02.002
• Dahl, Geir (2012). Martingale matrix classes and polytopes. Linear Algebra and its Applications.  ISSN 0024-3795.  437(7), s 1722- 1733 . doi: 10.1016/j.laa.2012.04.042
• Dahl, Geir (2011). Polytopes related to interval vectors and incidence matrices. Linear Algebra and its Applications.  ISSN 0024-3795.  435(11), s 2955- 2960 . doi: 10.1016/j.laa.2011.05.026
• Dahl, Geir (2010). Majorization permutahedra and (0,1)-matrices. Linear Algebra and its Applications.  ISSN 0024-3795.  432(12), s 3265- 3271 . doi: 10.1016/j.laa.2010.01.024
• Dahl, Geir & Minken, Harald (2010). A note on permutations and rank aggregation. Mathematical and computer modelling.  ISSN 0895-7177.  52(1-2), s 380- 385 . doi: 10.1016/j.mcm.2010.02.052
• Dahl, Geir (2009). Disjoint congruence classes and a timetabling application. Discrete Applied Mathematics.  ISSN 0166-218X.  157(8), s 1702- 1710 . doi: 10.1016/j.dam.2008.11.015 Fulltekst i vitenarkiv.
• Dahl, Geir (2009). Permutation matrices related to Sudoku. Linear Algebra and its Applications.  ISSN 0024-3795.  430(8-9), s 2457- 2463 . doi: 10.1016/j.laa.2008.12.023
• Dahl, Geir; Ball, Michael & Vossen, Thomas (2009). Matchings in Connection with Ground Delay Program Planning. Networks.  ISSN 0028-3045.  53(3), s 293- 306 . doi: 10.1002/net.20272
• Dahl, Geir & Flatberg, Truls (2009). Reconstructing (0,1)-matrices from projections using integer programming. Computational optimization and applications.  ISSN 0926-6003.  42(1), s 141- 154 . doi: 10.1007/s10589-007-9116-y
• Dahl, Geir (2008). Transportation matrices with staircase patterns and majorization. Linear Algebra and its Applications.  ISSN 0024-3795.  429(7), s 1840- 1850
• Dahl, Geir & Minken, Harald (2008). Methods based on discrete optimization for finding road network rehabilitation strategies. Computers & Operations Research.  ISSN 0305-0548.  35(7), s 2193- 2208 . doi: 10.1016/j.cor.2006.10.015
• Brualdi, R.A. & Dahl, Geir (2007). Constructing (0,1)-matrices with given line sums and certain fixed zeros, In Gabor Herman & Attila Kuba (ed.),  Advances in Discrete Tomography and its Applications.  Birkhäuser Verlag.  ISBN 0-8176-3614-5.  6.
• Dahl, Geir (2007). A note on a parameter relating traffic equilibria and system optimal routing. Applied Mathematics and Computation.  ISSN 0096-3003.  191, s 445- 450
• Dahl, Geir (2007). Combinatorial properties of Fourier-Motzkin elimination. The Electronic Journal of Linear Algebra.  ISSN 1537-9582.  16, s 334- 346
• Dahl, Geir (2007). Majorization and distances in trees. Networks.  ISSN 0028-3045.  50(4)
• Dahl, Geir & Flatberg, Truls (2007). An Integer Programming Approach to Image Segmentation and Reconstruction Problems, In Geir Hasle; Knut-Andreas Lie & Ewald Gunther Quak (ed.),  Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.  Springer Publishing Company.  ISBN 978-3-540-68782-5.  Part III Optimization.  s 461 - 481
• Dahl, Geir & Flatberg, Truls (2007). Reconstructing (0,1)-matrices from projections using integer programming. Computational optimization and applications.  ISSN 0926-6003.  s 141- 154
• Dahl, Geir; Leinaas, Jon Magne; Myrheim, Jan & Ovrum, Eirik (2007). A tensor product matrix approximation problem in quantum physics. Linear Algebra and its Applications.  ISSN 0024-3795.  420(2-3), s 711- 725 . doi: 10.1016/j.laa.2006.08.026
• Dahl, Geir & Brualdi, R.A. (2006). The Bruhat shadow of a permutation matrix, In Olga Azenhas; Antonio Duarte; Joao Queiro & Ana Santana (ed.),  Mathematical papers in honour of Eduardo Marques de Sa.  Textos de Matematica, Departamento de Matematica.  ISBN 978-972-8564-43-8.  kapittel.  s 25 - 38

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• Andrade, Enide; Dahl, Geir; Leal, Laura & Robbiano, Maria (2019). New bounds for the signless Laplacian spread.
• Brualdi, R.A. & Dahl, Geir (2019). Matrix covering and A-interval matrices.
• Dahl, Geir (2019). Majorization - some recent developments in matrix theory.
• Dahl, Geir; Brualdi, R.A.; Guterman, Alexander & Shteyner, Pavel (2019). Matrix covering problems.
• Dahl, Geir; Andrade, Enide & Ciardo, Lorenzo (2018). Combinatorial Perron Parameters and Trees.
• Dahl, Geir & Brualdi, R.A. (2018). Alternating Sign Matrices, Polyhedra and Majorization.
• Brualdi, R.A. & Dahl, Geir (2017). Alternating sign matrices and polyhedra.
• Brualdi, R.A. & Dahl, Geir (2017). Alternating sign matrices and related polyhedra.
• Dahl, Geir (2017). Laplacian energy, threshold graphs and majorization.
• Dahl, Geir; Ranestad, Kristian & Hole, Arne (2017). Programmering rammer dybdelæring i matematikk. Aftenposten (morgenutg. : trykt utg.).  ISSN 0804-3116.  s 22- 23
• Andrade, Enide & Dahl, Geir (2016). Combinatorial Perron values.
• Andrade, Enide & Dahl, Geir (2016). Combinatorial Perron values.
• Dahl, Geir (2016). Some Topics in Combinatorial Matrix Theory.
• Dahl, Geir & Brualdi, R.A. (2016). Doubly stochastic matrices and the Bruhat order.
• Dahl, Geir & Haufmann, Torkel Andreas (2016). Zero-one completely positive matrices and the A(R,S )matrix classes.
• Haufmann, Torkel Andreas; Agra, Agostinho; Dahl, Geir & Pinheiro, Sofia (2016). The k-regular induced subgraph problem.
• Agra, Agostinho; Dahl, Geir; Haufmann, Torkel Andreas & Pinheiro, Sofia (2015). Maximal induced k-regular subgraphs.
• Agra, Agostinho; Dahl, Geir; Haufmann, Torkel Andreas & Pinheiro, Sofia (2015). The k-regular induced subgraph problem for k=1,2.
• Dahl, Geir (2015). Combinatorial Matrix Theory and Majorization.
• Dahl, Geir (2015). Majorization, (0,1)-matrices and Laplacian energy..
• Dahl, Geir (2015). Permutation matrices, doubly stochastic matrices and their L– rays.
• Dahl, Geir (2014). Majorization and combinatorial matrix theory.
• Dahl, Geir (2014). Traveling Salesman Problem: En matematisk rundtur.
• Dahl, Geir & Brualdi, R.A. (2014). Majorization for partially ordered sets.
• Haufmann, Torkel Andreas & Dahl, Geir (2014). Optimization and classes of completely positive matrices.
• Dahl, Geir (2013). An introduction to Majorization: theory and applications.
• Dahl, Geir (2013). Majorization transforms and Ryser’s algorithm.
• Dahl, Geir (2013). Nytt Munch museum: et SKRIK etter kombinatorikk og geometri!!.
• Bebiano, Natália; Dahl, Geir; da Silva, José Dias & da Fonseca, Carlos M. (2012). Preface to the Proceedings of the Coimbra Meeting on 0-1 Matrix Theory and Related Topics. Linear Algebra and its Applications.  ISSN 0024-3795.  436(4), s 789- 790 . doi: 10.1016/j.laa.2011.09.028
• Brualdi, R.A. & Dahl, Geir (2012). An extension of the polytope of doubly stochastic matrices.
• Dahl, Geir (2012). A taste of Szemerédi's combinatorics.
• Dahl, Geir (2012). Google: hvordan man blir styrtrik på en matematisk likning!.
• Dahl, Geir (2012). Lineær algebra, Google og rangering av websider.
• Dahl, Geir (2012). Majorization, matrix polytopes and combinatorics.
• Dahl, Geir & Brualdi, R.A. (2012). Generalized Birkhoff polytopes and majorization.
• Dahl, Geir & Dahl, Kristina Rognlien (2012). Linear optimization and mathematical finance. Preprint series (Universitetet i Oslo. Matematisk institutt). 04 August 2012. Fulltekst i vitenarkiv.
• Dahl, Geir (2011). Kombinatorikk på roterommet!.
• Dahl, Geir (2011). Majorization in matrix theory: a brief introduction and some recent progress.
• Dahl, Geir (2011). Martingale matrix classes.
• Dahl, Geir (2010). Majorization and related combinatorial matrix classes.
• Dahl, Geir (2010). Majorization permutahedra and (0,1)-matrices.
• Dahl, Geir (2010). Majorization, A(R,S) and related matrix classes.
• Dahl, Geir (2009). Disjoint congruence classes and an optimization problem.
• Dahl, Geir (2009). Introduction to optimization and convexity.
• Dahl, Geir (2009). Majorization and network problems.
• Dahl, Geir (2008). Majorization in matrix theory: a brief introduction.
• Dahl, Geir (2008). Matematisk spillteori - analyse av Nash likevekt.
• Dahl, Geir (2008). Minimum cuts: theory and algorithms.
• Dahl, Geir (2007). Matematikk og økonomi: fra John Nash ("A Beautiful Mind") til analyse av trafikk i nettverk.
• Dahl, Geir & Brualdi, R.A. (2007). Some Combinatorial Matrix Problems and Discrete Tomography.
• Dahl, Geir & Brualdi, R.A. (2007). Some Combinatorial Matrix Problems and Discrete Tomography.
• Dahl, Geir & Brualdi, R.A. (2006). Constructing (0,1)-matrices with given line sums and certain fixed zeros.
• Dahl, Geir & Flatberg, Truls (2006). An integer programming approach to image segmentation and reconstruction problems.
• Dahl, Geir; Flatberg, Truls; Foldnes, Njål & Gouveia, Luis (2006). The Jump Formulation for the Hop-Constrained Minimum Spanning Tree Problem.

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