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Kazuo Murota

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2007
34EEYusuke Kobayashi, Kazuo Murota: Induction of M-convex functions by linking systems. Discrete Applied Mathematics 155(11): 1471-1480 (2007)
2006
33EEKazuo Murota, Kenichiro Tanaka: A Steepest Descent Algorithm for M-Convex Functions on Jump Systems. IEICE Transactions 89-A(5): 1160-1165 (2006)
32EEKazuo Murota: M-Convex Functions on Jump Systems: A General Framework for Minsquare Graph Factor Problem. SIAM J. Discrete Math. 20(1): 213-226 (2006)
2005
31EEKazuo Murota: Fundamentals in Discrete Convex Analysis. Computing and Markets 2005
30EENicholas J. A. Harvey, David R. Karger, Kazuo Murota: Deterministic network coding by matrix completion. SODA 2005: 489-498
29EESatoko Moriguchi, Kazuo Murota: Discrete Hessian Matrix for L-Convex Functions. IEICE Transactions 88-A(5): 1104-1108 (2005)
28EESatoru Iwata, Satoko Moriguchi, Kazuo Murota: A capacity scaling algorithm for M-convex submodular flow. Math. Program. 103(1): 181-202 (2005)
2004
27EESatoru Iwata, Satoko Moriguchi, Kazuo Murota: A Capacity Scaling Algorithm for M-convex Submodular Flow. IPCO 2004: 352-367
26EEKazuo Murota, Akiyoshi Shioura: Conjugacy relationship between M-convex and L-convex functions in continuous variables. Math. Program. 101(3): 415-433 (2004)
25EEKazuo Murota, Akihisa Tamura: Proximity theorems of discrete convex functions. Math. Program. 99(3): 539-562 (2004)
24EEKazuo Murota, Hiroo Saito, Robert Weismantel: Optimality criterion for a class of nonlinear integer programs. Oper. Res. Lett. 32(5): 468-472 (2004)
2003
23EEKazuo Murota, Akiyoshi Shioura: Quasi M-convex and L-convex functions--quasiconvexity in discrete optimization. Discrete Applied Mathematics 131(2): 467-494 (2003)
22EEKazuo Murota, Akihisa Tamura: New characterizations of M-convex functions and their applications to economic equilibrium models with indivisibilities. Discrete Applied Mathematics 131(2): 495-512 (2003)
21EEJames F. Geelen, Satoru Iwata, Kazuo Murota: The linear delta-matroid parity problem. J. Comb. Theory, Ser. B 88(2): 377-398 (2003)
2001
20EEKazuo Murota, Akihisa Tamura: Application of M-Convex Submodular Flow Problem to Mathematical Economics. ISAAC 2001: 14-25
19 Kazuo Murota, Akiyoshi Shioura: Relationship of M-/L-convex functions with discrete convex functions by Miller and Favati-Tardella. Discrete Applied Mathematics 115(1-3): 151-176 (2001)
1999
18EEKazuo Murota: Submodular Flow Problem with a Nonseparable Cost Function. Combinatorica 19(1): 87-109 (1999)
1998
17 Kazuo Murota: Fenchel-type duality for matroid valuations. Math. Program. 82: 357-375 (1998)
16 Kazuo Murota: Discrete convex analysis. Math. Program. 83: 313-371 (1998)
1997
15EEKazuo Murota: Matroid Valuation on Independent Sets. J. Comb. Theory, Ser. B 69(1): 59-78 (1997)
1996
14 Kazuo Murota: Convexity and Steinitz's Exchange Property. IPCO 1996: 260-274
13 Kazuo Murota: On Exchange Axioms for Valuated Matroids and Valuated Delta-Matroids. Combinatorica 16(4): 591-596 (1996)
12EESatoru Iwata, Kazuo Murota: Horizontal Principal Structure of Layered Mixed Matrices: Decomposition of Discrete Systems by Design-Variable Selections. SIAM J. Discrete Math. 9(1): 71-86 (1996)
11EEKazuo Murota: Valuated Matroid Intersection I: Optimality Criteria. SIAM J. Discrete Math. 9(4): 545-561 (1996)
10EEKazuo Murota: Valuated Matroid Intersection II: Algorithms. SIAM J. Discrete Math. 9(4): 562-576 (1996)
1995
9EEKazuo Murota: Combinatorial Relaxation Algorithm for the Maximum Degree of Subdeterminants: Computing Smith-McMillan Form at Infinity and Structural Indeces in Kronecker Form. Appl. Algebra Eng. Commun. Comput. 6(4/5): 251-273 (1995)
8EESatoru Iwata, Kazuo Murota: A Theorem on the Principal Structure for Independent Matchings. Discrete Applied Mathematics 61(3): 229-244 (1995)
7 Kazuo Murota: Computing the Degree of Determinants Via Combinatorial Relaxation. SIAM J. Comput. 24(4): 765-796 (1995)
1993
6 Kazuo Murota: Hierarchical decomposition of symmetric discrete systems by matroid and group theories. Math. Program. 59: 377-404 (1993)
1990
5 Kazuo Murota: Computing Puiseux-Series Solutions to Determinantal Equations via Combinatorial Relaxation. SIGAL International Symposium on Algorithms 1990: 271-280
4 Kazuo Murota: Computing Puiseux-Series Solutions to Determinantal Equations via Combinatorial Relaxation. SIAM J. Comput. 19(6): 1132-1161 (1990)
1985
3 Hiroshi Imai, Masao Iri, Kazuo Murota: Voronoi Diagram in the Laguerre Geometry and its Applications. SIAM J. Comput. 14(1): 93-105 (1985)
1984
2 Takao Ohya, Masao Iri, Kazuo Murota: A Fast Voronoi-Diagram Algorithm With Quaternary Tree Bucketing. Inf. Process. Lett. 18(4): 227-231 (1984)
1981
1 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

1James F. Geelen [21]
2Nicholas J. A. Harvey [30]
3Hiroshi Imai [3]
4Masao Iri [1] [2] [3]
5Satoru Iwata [8] [12] [21] [27] [28]
6David R. Karger [30]
7Yusuke Kobayashi [34]
8Shouichi Matsui [1]
9Satoko Moriguchi [27] [28] [29]
10Takao Ohya [2]
11Hiroo Saito [24]
12Akiyoshi Shioura [19] [23] [26]
13Akihisa Tamura [20] [22] [25]
14Kenichiro Tanaka [33]
15Robert Weismantel [24]

Colors in the list of coauthors

Copyright © Thu Jun 5 07:42:39 2008 by Michael Ley (ley@uni-trier.de)