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Articles by Kazuo Murota | Synthical

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Articles by Kazuo Murota

Two Proofs of a Structural Theorem of Decreasing Minimization on Integrally Convex Sets

24 April 2025 by Kazuo Murota and Akihisa Tamura

Optimization and Control, Combinatorics

Shapley-Folkman-type Theorem for Integrally Convex Sets

17 August 2024 by Kazuo Murota and Akihisa Tamura

Note on Minkowski Summation and Unimodularity in Discrete Convex Analysis

28 April 2024 by Kazuo Murota and Akihisa Tamura

Note on Minimization of Quasi M^\natural-convex Functions

27 November 2023 by Kazuo Murota and Akiyoshi Shioura

Decomposition of an Integrally Convex Set into a Minkowski Sum of Bounded and Conic Integrally Convex Sets

3 October 2023 by Kazuo Murota and Akihisa Tamura

Note on Steepest Descent Algorithm for Quasi L^{\natural}-convex Function Minimization

21 July 2023 by Kazuo Murota and Akiyoshi Shioura

Optimization and Control, Combinatorics

Recent Progress on Integrally Convex Functions

22 February 2023 by Kazuo Murota and Akihisa Tamura

Double-Exponential transformation: A quick review of a Japanese tradition

5 January 2023 by Kazuo Murota and Takayasu Matsuo

Numerical Analysis

Emergence of hyper insecticide-resistant dengue vectors in Indochina Peninsula: threats of concomitant knockdown resistance mutations

21 December 2022 by Shuuichi Kasai and others

On Equivalence of M^\natural-concavity of a Set Function and Submodularity of Its Conjugate

13 December 2022 by Kazuo Murota and Akiyoshi Shioura

Discrete Convex Analysis: A Tool for Economics and Game Theory

7 December 2022 by Kazuo Murota

Inclusion and Intersection Relations Between Fundamental Classes of Discrete Convex Functions

16 July 2022 by Satoko Moriguchi and Kazuo Murota

Fair Integral Submodular Flows

5 June 2022 by András Frank and Kazuo Murota

Decreasing Minimization on Base-Polyhedra: Relation Between Discrete and Continuous Cases

12 April 2022 by András Frank and Kazuo Murota

Note on the Polyhedral Description of the Minkowski Sum of Two L-convex Sets

2 November 2021 by Satoko Moriguchi and Kazuo Murota

Discrete Fenchel Duality for a Pair of Integrally Convex and Separable Convex Functions

5 October 2021 by Kazuo Murota and Akihisa Tamura

Decreasing Minimization on M-convex Sets: Algorithms and Applications

16 July 2021 by András Frank and Kazuo Murota

Decreasing Minimization on M-convex Sets: Background and Structures

16 July 2021 by András Frank and Kazuo Murota

Exchange Properties of M-natural-concave Set Functions and Valuated Matroids

29 May 2021 by Kazuo Murota

A Note on M-convex Functions on Jump Systems

17 September 2020 by Kazuo Murota

A Discrete Convex Min-Max Formula for Box-TDI Polyhedra

3 August 2020 by András Frank and Kazuo Murota

Charge correlation in V_2OPO_4 probed by hard x-ray photoemission spectroscopy

8 June 2020 by Kota Murota and others

Strongly Correlated Electrons

Isolation of lactic acid bacteria capable of reducing environmental alkyl and fatty acid hydroperoxides, and the effect of their oral administration on oxidative-stressed nematodes and rats

27 February 2020 by Atsuhito Watanabe and others at

Tokyo University of Agriculture

On Basic Operations Related to Network Induction of Discrete Convex Functions

10 February 2020 by Kazuo Murota

Optimization and Control, Combinatorics

Discrete Decreasing Minimization, Part III: Network Flows

25 September 2019 by András Frank and Kazuo Murota

A Survey of Fundamental Operations on Discrete Convex Functions of Various Kinds

3 September 2019 by Kazuo Murota

Combinatorics, Optimization and Control

A tractable class of binary VCSPs via M-convex intersection

11 July 2019 by Hiroshi Hirai and others

Discrete Mathematics, Combinatorics

On Fundamental Operations for Multimodular Functions

22 June 2019 by Satoko Moriguchi and Kazuo Murota

Optimization and Control

Discrete Decreasing Minimization, Part II: Views from Discrete Convex Analysis

22 May 2019 by András Frank and Kazuo Murota

Discrete Decreasing Minimization, Part I: Base-polyhedra with Applications in Network Optimization

22 May 2019 by András Frank and Kazuo Murota

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