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2020 – today
- 2025
[j95]Kazuo Murota
, Akihisa Tamura:
Shapley-Folkman-type theorem for integrally convex sets. Discret. Appl. Math. 360: 42-50 (2025)- 2023
- [j94]András Frank, Kazuo Murota:
Fair Integral Network Flows. Math. Oper. Res. 48(3): 1393-1422 (2023) - [i5]Kazuo Murota, Takayasu Matsuo:
Double-Exponential transformation: A quick review of a Japanese tradition. CoRR abs/2301.01920 (2023) - 2022
- [j93]András Frank, Kazuo Murota:
Fair integral submodular flows. Discret. Appl. Math. 320: 416-434 (2022) - [j92]András Frank, Kazuo Murota:
A Discrete Convex Min-Max Formula for Box-TDI Polyhedra. Math. Oper. Res. 47(2): 1026-1047 (2022) - [j91]András Frank, Kazuo Murota:
Decreasing minimization on M-convex sets: background and structures. Math. Program. 195(1): 977-1025 (2022) - [j90]András Frank, Kazuo Murota:
Decreasing minimization on M-convex sets: algorithms and applications. Math. Program. 195(1): 1027-1068 (2022) - 2021
- [j89]Kazuo Murota:
A note on M-convex functions on jump systems. Discret. Appl. Math. 289: 492-502 (2021) - [j88]Kazuo Murota:
A survey of fundamental operations on discrete convex functions of various kinds. Optim. Methods Softw. 36(2-3): 472-518 (2021) - [j87]Kazuo Murota:
On basic operations related to network induction of discrete convex functions. Optim. Methods Softw. 36(2-3): 519-559 (2021) - 2020
- [j86]Satoko Moriguchi, Kazuo Murota, Akihisa Tamura, Fabio Tardella:
Discrete Midpoint Convexity. Math. Oper. Res. 45(1): 99-128 (2020) - [j85]Kazuo Murota, Akihisa Tamura:
Integrality of subgradients and biconjugates of integrally convex functions. Optim. Lett. 14(1): 195-208 (2020)
2010 – 2019
- 2019
- [j84]Satoko Moriguchi, Kazuo Murota:
Projection and convolution operations for integrally convex functions. Discret. Appl. Math. 255: 283-298 (2019) - [j83]Mohammadreza Bolandnazar, Woonghee Tim Huh, S. Thomas McCormick, Kazuo Murota:
Technical Note - Error Noted in "Order-Based Cost Optimization in Assemble-to-Order Systems" by Lu and Song (2005). Oper. Res. 67(1): 163-166 (2019) - [j82]Satoko Moriguchi, Kazuo Murota, Akihisa Tamura, Fabio Tardella:
Scaling, proximity, and optimization of integrally convex functions. Math. Program. 175(1-2): 119-154 (2019) - [j81]Hiroshi Hirai, Yuni Iwamasa, Kazuo Murota, Stanislav Zivný:
A Tractable Class of Binary VCSPs via M-Convex Intersection. ACM Trans. Algorithms 15(3): 44:1-44:41 (2019) - 2018
- [j80]Yuni Iwamasa, Kazuo Murota, Stanislav Zivný:
Discrete convexity in joint winner property. Discret. Optim. 28: 78-88 (2018) - [j79]Kazuo Murota:
Multiple Exchange Property for M♮-Concave Functions and Valuated Matroids. Math. Oper. Res. 43(3): 781-788 (2018) - [j78]Takanori Maehara, Naoki Marumo, Kazuo Murota:
Continuous relaxation for discrete DC programming. Math. Program. 169(1): 199-219 (2018) - [c11]Hiroshi Hirai, Yuni Iwamasa, Kazuo Murota, Stanislav Zivný:
Beyond JWP: A Tractable Class of Binary VCSPs via M-Convex Intersection. STACS 2018: 39:1-39:14 - [i4]Hiroshi Hirai, Yuni Iwamasa, Kazuo Murota, Stanislav Zivný:
A tractable class of binary VCSPs via M-convex intersection. CoRR abs/1801.02199 (2018) - 2017
- [i3]Yuni Iwamasa, Kazuo Murota, Stanislav Zivný:
Discrete Convexity in Joint Winner Property. CoRR abs/1701.07645 (2017) - [i2]Kazuo Murota, Kenjiro Takazawa:
Relationship of Two Formulations for Shortest Bibranchings. CoRR abs/1706.02029 (2017) - 2016
- [j77]Kazuo Murota, Akiyoshi Shioura, Zaifu Yang:
Time bounds for iterative auctions: A unified approach by discrete convex analysis. Discret. Optim. 19: 36-62 (2016) - [j76]Kensuke Otsuki, Yusuke Kobayashi, Kazuo Murota:
Improved max-flow min-cut algorithms in a Circular Disk Failure Model with application to a road network. Eur. J. Oper. Res. 248(2): 396-403 (2016) - [j75]Shinji Ito, Kazuo Murota:
An Algorithm for the Generalized Eigenvalue Problem for Nonsquare Matrix Pencils by Minimal Perturbation Approach. SIAM J. Matrix Anal. Appl. 37(1): 409-419 (2016) - [c10]Satoko Moriguchi, Kazuo Murota, Akihisa Tamura, Fabio Tardella:
Scaling and Proximity Properties of Integrally Convex Functions. ISAAC 2016: 57:1-57:13 - 2015
- [j74]Takanori Maehara, Kazuo Murota:
Valuated matroid-based algorithm for submodular welfare problem. Ann. Oper. Res. 229(1): 565-590 (2015) - [j73]Kazuo Murota, Yu Yokoi:
On the Lattice Structure of Stable Allocations in a Two-Sided Discrete-Concave Market. Math. Oper. Res. 40(2): 460-473 (2015) - [j72]Takanori Maehara, Kazuo Murota:
A framework of discrete DC programming by discrete convex analysis. Math. Program. 152(1-2): 435-466 (2015) - [c9]Takanori Maehara, Naoki Marumo, Kazuo Murota:
Continuous Relaxation for Discrete DC Programming. MCO (1) 2015: 181-190 - 2014
- [j71]Kensuke Aishima, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara:
A shift strategy for superquadratic convergence in the dqds algorithm for singular values. J. Comput. Appl. Math. 257: 132-143 (2014) - [j70]Kazuo Murota, Akiyoshi Shioura:
Dijkstra's algorithm and L-concave function maximization. Math. Program. 145(1-2): 163-177 (2014) - [j69]Kazuo Murota, Akiyoshi Shioura:
Exact bounds for steepest descent algorithms of L-convex function minimization. Oper. Res. Lett. 42(5): 361-366 (2014) - [r2]Kazuo Murota:
Linear Programming. Computer Vision, A Reference Guide 2014: 455-460 - 2013
- [c8]Naoki Masuda, Tetsuya Fujie, Kazuo Murota:
Application of Semidefinite Programming to Maximize the Spectral Gap Produced by Node Removal. CompleNet 2013: 155-163 - [c7]Kazuo Murota, Akiyoshi Shioura, Zaifu Yang:
Computing a Walrasian Equilibrium in Iterative Auctions with Multiple Differentiated Items. ISAAC 2013: 468-478 - 2012
- [j68]Takuya Iimura, Kazuo Murota, Akihisa Tamura:
Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope. Discret. Appl. Math. 160(4-5): 588-592 (2012) - [j67]Kiyohiro Ikeda, Kazuo Murota, Takashi Akamatsu:
Self-Organization of LöSCH's Hexagons in Economic agglomeration for Core-periphery Models. Int. J. Bifurc. Chaos 22(8) (2012) - [j66]Kensuke Aishima, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara:
A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence. J. Comput. Appl. Math. 236(15): 3556-3560 (2012) - [j65]Yusuke Kobayashi, Kazuo Murota, Robert Weismantel:
Cone superadditivity of discrete convex functions. Math. Program. 135(1-2): 25-44 (2012) - 2011
- [j64]Takanori Maehara, Kazuo Murota:
Algorithm for Error-Controlled Simultaneous Block-Diagonalization of Matrices. SIAM J. Matrix Anal. Appl. 32(2): 605-620 (2011) - 2010
- [j63]Kensuke Aishima, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara:
Superquadratic convergence of DLASQ for computing matrix singular values. J. Comput. Appl. Math. 234(4): 1179-1187 (2010) - [j62]Takanori Maehara, Kazuo Murota:
Error-controlling algorithm for simultaneous block-diagonalization and its application to independent component analysis. JSIAM Lett. 2: 131-134 (2010)
2000 – 2009
- 2009
- [j61]Ken'ichiro Tanaka, Masaaki Sugihara, Kazuo Murota:
Function classes for successful DE-Sinc approximations. Math. Comput. 78(267): 1553-1571 (2009) - [j60]Ken'ichiro Tanaka, Masaaki Sugihara, Kazuo Murota, Masatake Mori:
Function classes for double exponential integration formulas. Numerische Mathematik 111(4): 631-655 (2009) - [r1]Kazuo Murota:
L-convex Functions and M-convex Functions. Encyclopedia of Optimization 2009: 1838-1845 - 2008
- [j59]Kensuke Aishima, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara:
On Convergence of the DQDS Algorithm for Singular Value Computation. SIAM J. Matrix Anal. Appl. 30(2): 522-537 (2008) - [c6]Kazuo Murota:
Recent Developments in Discrete Convex Analysis. Bonn Workshop of Combinatorial Optimization 2008: 219-260 - 2007
- [j58]Yusuke Kobayashi, Kazuo Murota:
Induction of M-convex functions by linking systems. Discret. Appl. Math. 155(11): 1471-1480 (2007) - [j57]Yusuke Kobayashi, Kazuo Murota, Ken'ichiro Tanaka:
Operations on M-Convex Functions on Jump Systems. SIAM J. Discret. Math. 21(1): 107-129 (2007) - 2006
- [j56]Kazuo Murota, Ken'ichiro Tanaka:
A Steepest Descent Algorithm for M-Convex Functions on Jump Systems. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 89-A(5): 1160-1165 (2006) - [j55]Kazuo Murota:
M-Convex Functions on Jump Systems: A General Framework for Minsquare Graph Factor Problem. SIAM J. Discret. Math. 20(1): 213-226 (2006) - 2005
- [j54]Kazuo Murota, Akiyoshi Shioura:
Substitutes and complements in network flows viewed as discrete convexity. Discret. Optim. 2(3): 256-268 (2005) - [j53]Satoko Moriguchi, Kazuo Murota:
Discrete Hessian Matrix for L-Convex Functions. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 88-A(5): 1104-1108 (2005) - [j52]Isao Saiki, Kiyohiro Ikeda, Kazuo Murota:
Flower Patterns Appearing on a Honeycomb Structure and their bifurcation Mechanism. Int. J. Bifurc. Chaos 15(2): 497-515 (2005) - [j51]Ken'ichiro Tanaka, Masaaki Sugihara, Kazuo Murota:
Numerical indefinite integration by double exponential sinc method. Math. Comput. 74(250): 655-679 (2005) - [j50]Kazuo Murota:
Note on Multimodularity and L-Convexity. Math. Oper. Res. 30(3): 658-661 (2005) - [j49]Satoru Iwata, Satoko Moriguchi, Kazuo Murota:
A capacity scaling algorithm for M-convex submodular flow. Math. Program. 103(1): 181-202 (2005) - [c5]Nicholas J. A. Harvey, David R. Karger, Kazuo Murota:
Deterministic network coding by matrix completion. SODA 2005: 489-498 - [i1]Kazuo Murota:
Fundamentals in Discrete Convex Analysis. Computing and Markets 2005 - 2004
- [j48]Kazuo Murota, Akiyoshi Shioura:
Quadratic M-convex and L-convex functions. Adv. Appl. Math. 33(2): 318-341 (2004) - [j47]Kazuo Murota, Akihisa Tamura:
Proximity theorems of discrete convex functions. Math. Program. 99(3): 539-562 (2004) - [j46]Kazuo Murota, Akiyoshi Shioura:
Conjugacy relationship between M-convex and L-convex functions in continuous variables. Math. Program. 101(3): 415-433 (2004) - [j45]Kazuo Murota, Hiroo Saito, Robert Weismantel:
Optimality criterion for a class of nonlinear integer programs. Oper. Res. Lett. 32(5): 468-472 (2004) - [j44]Kazuo Murota:
On Steepest Descent Algorithms for Discrete Convex Functions. SIAM J. Optim. 14(3): 699-707 (2004) - [c4]Satoru Iwata, Satoko Moriguchi, Kazuo Murota:
A Capacity Scaling Algorithm for M-convex Submodular Flow. IPCO 2004: 352-367 - 2003
- [b1]Kazuo Murota:
Discrete convex analysis. SIAM monographs on discrete mathematics and applications 10, SIAM 2003, ISBN 978-0-89871-540-8, pp. I-XXII, 1-389 - [j43]Kazuo Murota, Akiyoshi Shioura:
Quasi M-convex and L-convex functions--quasiconvexity in discrete optimization. Discret. Appl. Math. 131(2): 467-494 (2003) - [j42]Kazuo Murota, Akihisa Tamura:
New characterizations of M-convex functions and their applications to economic equilibrium models with indivisibilities. Discret. Appl. Math. 131(2): 495-512 (2003) - [j41]James F. Geelen, Satoru Iwata, Kazuo Murota:
The linear delta-matroid parity problem. J. Comb. Theory B 88(2): 377-398 (2003) - [j40]Satoko Moriguchi, Kazuo Murota:
Capacity scaling algorithm for scalable M-convex submodular flow problems. Optim. Methods Softw. 18(2): 207-218 (2003) - 2002
- [j39]Satoko Moriguchi, Kazuo Murota, Akiyoshi Shioura:
Scaling Algorithms for M-Convex Function Minimization. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 85-A(5): 922-929 (2002) - 2001
- [j38]Kazuo Murota, Akihisa Tamura:
On Circuit Valuation of Matroids. Adv. Appl. Math. 26(3): 192-225 (2001) - [j37]Kazuo Murota, Akiyoshi Shioura:
Relationship of M-/L-convex functions with discrete convex functions by Miller and Favati-Tardella. Discret. Appl. Math. 115(1-3): 151-176 (2001) - [j36]Satoru Iwata, Kazuo Murota:
Combinatorial relaxation algorithm for mixed polynomial matrices. Math. Program. 90(2): 353-371 (2001) - [j35]Vladimir I. Danilov, Gleb A. Koshevoy, Kazuo Murota:
Discrete convexity and equilibria in economies with indivisible goods and money. Math. Soc. Sci. 41(3): 251-273 (2001) - [j34]Mituhiro Fukuda, Masakazu Kojima, Kazuo Murota, Kazuhide Nakata:
Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework. SIAM J. Optim. 11(3): 647-674 (2001) - [c3]Kazuo Murota, Akihisa Tamura:
Application of M-Convex Submodular Flow Problem to Mathematical Economics. ISAAC 2001: 14-25 - 2000
- [j33]Kazuo Murota, Akiyoshi Shioura:
Extension of M-Convexity and L-Convexity to Polyhedral Convex Functions. Adv. Appl. Math. 25(4): 352-427 (2000) - [j32]Satoru Fujishige, Kazuo Murota:
Notes on L-/M-convex functions and the separation theorems. Math. Program. 88(1): 129-146 (2000)
1990 – 1999
- 1999
- [j31]Kazuo Murota:
Submodular Flow Problem with a Nonseparable Cost Function. Comb. 19(1): 87-109 (1999) - [j30]Kazuo Murota, Akiyoshi Shioura:
M-Convex Function on Generalized Polymatroid. Math. Oper. Res. 24(1): 95-105 (1999) - 1998
- [j29]Kazuo Murota:
Fenchel-type duality for matroid valuations. Math. Program. 82: 357-375 (1998) - [j28]Kazuo Murota:
Discrete convex analysis. Math. Program. 83: 313-371 (1998) - [j27]Kazuo Murota:
On the Degree of Mixed Polynomial Matrices. SIAM J. Matrix Anal. Appl. 20(1): 196-227 (1998) - 1997
- [j26]Kazuo Murota:
Matroid Valuation on Independent Sets. J. Comb. Theory B 69(1): 59-78 (1997) - [j25]Satoru Iwata, Kazuo Murota, Maiko Shigeno:
A Fast Parametric Submodular Intersection Algorithm for Strong Map Sequences. Math. Oper. Res. 22(4): 803-813 (1997) - 1996
- [j24]Kazuo Murota:
On Exchange Axioms for Valuated Matroids and Valuated Delta-Matroids. Comb. 16(4): 591-596 (1996) - [j23]Satoru Iwata, Kazuo Murota:
Horizontal Principal Structure of Layered Mixed Matrices: Decomposition of Discrete Systems by Design-Variable Selections. SIAM J. Discret. Math. 9(1): 71-86 (1996) - [j22]Kazuo Murota:
Valuated Matroid Intersection I: Optimality Criteria. SIAM J. Discret. Math. 9(4): 545-561 (1996) - [j21]Kazuo Murota:
Valuated Matroid Intersection II: Algorithms. SIAM J. Discret. Math. 9(4): 562-576 (1996) - [j20]Satoru Iwata, Kazuo Murota, Izumi Sakuta:
Primal-Dual Combinatorial Relaxation Algorithms for the Maximum Degree of Subdeterminants. SIAM J. Sci. Comput. 17(4): 993-1012 (1996) - [c2]Kazuo Murota:
Convexity and Steinitz's Exchange Property. IPCO 1996: 260-274 - 1995
- [j19]Kazuo Murota:
Combinatorial relaxation algorithm for the maximum degree of subdeterminants: Computing Smith-Mcmillan form at infinity and structural indices in Kronecker form. Appl. Algebra Eng. Commun. Comput. 6(4/5): 251-273 (1995) - [j18]Satoru Iwata, Kazuo Murota:
A Theorem on the Principal Structure for Independent Matchings. Discret. Appl. Math. 61(3): 229-244 (1995) - [j17]Kazuo Murota:
Computing the Degree of Determinants Via Combinatorial Relaxation. SIAM J. Comput. 24(4): 765-796 (1995) - [j16]Satoru Iwata, Kazuo Murota:
A Minimax Theorem and a Dulmage-Mendelsohn Type Decomposition for a Class of Generic Partitioned Matrices. SIAM J. Matrix Anal. Appl. 16(3): 719-734 (1995) - [j15]Jacob van der Woude, Kazuo Murota:
Disturbance Decoupling with Pole Placement for Structured Systems: A Graph-Theoretic Approach. SIAM J. Matrix Anal. Appl. 16(3): 922-942 (1995) - 1994
- [j14]Hisashi Ito, Satoru Iwata, Kazuo Murota:
Block-Triangularizations of Partitioned Matrices Under Similarity/Equivalence Transformations. SIAM J. Matrix Anal. Appl. 15(4): 1226-1255 (1994) - 1993
- [j13]Kazuo Murota:
Hierarchical decomposition of symmetric discrete systems by matroid and group theories. Math. Program. 59: 377-404 (1993) - [j12]Kazuo Murota:
On the Smith Normal Form of Structured Polynomial Matrices, II. SIAM J. Matrix Anal. Appl. 14(4): 1103-1111 (1993) - 1991
- [j11]Kazuo Murota, Kiyohiro Ikeda:
Computational Use of Group Theory in Bifurcation Analysis of Symmetric Structures. SIAM J. Sci. Comput. 12(2): 273-297 (1991) - 1990
- [j10]Kazuo Murota:
Principal structure of layered mixed matrices. Discret. Appl. Math. 27(3): 221-234 (1990) - [j9]Kazuo Murota:
Computing Puiseux-Series Solutions to Determinantal Equations via Combinatorial Relaxation. SIAM J. Comput. 19(6): 1132-1161 (1990) - [c1]Kazuo Murota:
Computing Puiseux-Series Solutions to Determinantal Equations via Combinatorial Relaxation. SIGAL International Symposium on Algorithms 1990: 271-280
1980 – 1989
- 1989
- [j8]Kazuo Murota:
Combinatorial dynamical system theory: General framework and controllability criteria. Discret. Appl. Math. 22(3): 241-265 (1989) - 1987
- [j7]Kazuo Murota:
Menger-decomposition of a graph and its application to the structural analysis of a large-scale system of equations. Discret. Appl. Math. 17(1-2): 107-134 (1987) - [j6]Kazuo Murota:
Homotopy base of acyclic graphs - a combinatorial analysis of commutative diagrams by means of preordered matroid. Discret. Appl. Math. 17(1-2): 135-155 (1987) - [j5]Kazuo Murota, Satoru Fujishige:
Finding a homotopy base for directed paths in an acyclic graph. Discret. Appl. Math. 17(1-2): 157-162 (1987) - 1985
- [j4]Hiroshi Imai, Masao Iri, Kazuo Murota:
Voronoi Diagram in the Laguerre Geometry and its Applications. SIAM J. Comput. 14(1): 93-105 (1985) - 1984
- [j3]Takao Ohya, Masao Iri, Kazuo Murota:
A Fast Voronoi-Diagram Algorithm With Quaternary Tree Bucketing. Inf. Process. Lett. 18(4): 227-231 (1984) - 1983
- [j2]Masao Iri, Kazuo Murota, Shouichi Matsui:
Heuristics for planar minimum-weight perfect metchings. Networks 13(1): 67-92 (1983) - 1981
- [j1]Masao Iri, Kazuo Murota, Shouichi Matsui:
Linear-Time Approximation Algorithms for Finding the Minimum-Weight Perfect Matching on a Plane. Inf. Process. Lett. 12(4): 206-209 (1981)
Coauthor Index
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