“A doubly nonnegative relaxation for modularity density maximization”

Y. Izunaga and Y. Yamamoto,

“A cutting plane algorithm for modularity maximization problem,”*Journal of the Operations Research Society of Japan ***60** (2017) 1, 24–42.

Y. Izunaga, K. Sato, K. Tatsumi and Y. Yamamoto,

“Row and column generation algorithms for minimum margin maximization of ranking problems,''*Journal of the Operations Research Society of Japan* **58** (2015) 4, 394-409.

Y. Izunaga and Y. Yamamoto,

"Maximization of minimum margin for statistical parameter estimation,"

Discussion Paper 1317, Department of Social Systems and Management, University of Tsukuba, March 2014.

Y. Yamamoto and Y. Zhou,

"Characterization of anonymous, weakly monotonic and strategy-proof aggregation function,"

Discussion Paper 1310, Department of Social Systems and Management, University of Tsukuba, Aug. 2013.

Y. Izunaga and Y. Yamamoto,

"A cutting plane algorithm for modularity maximization with heuristics for separation problem,"

Discussion Paper 1309, Department of Social Systems and Management, University of Tsukuba, July. 2013.

A. Igarashi and Y. Yamamoto,

"Computational complexity of a solution for directed graph cooperative game,"

Journal of the Operations Research Society of China 1 (2013) 3, 405-413;

DOI: 10.1007/s40305-013-0025-8;

Discussion Paper 1302, Department of Social Systems and Management, University of Tsukuba, Nov. 2012.

A. Wibowo and Y. Yamamoto,

"A note on kernel principal component regression,''*Computational Mathematics and Modeling* **23** (2012) 3, 350-367.

A. Igarashi and Y. Yamamoto,

"Average tree solution and core for cooperative games with graph structure,"

Discussion Paper 1293, Department of Social Systems and Management, University of Tsukuba, June 2012.

N. Sukegawa and Y. Yamamoto,

"Preference profile determining the proposals in the Gale-Shapley algorithm for stable matching problems,"*Japan Journal of Industrial and Applied Mathematics** ***29** (2012) 3, 547-560; DOI: 10.1007/s13160-012-0077-x.

N. Sukegawa, Y. Yamamoto and L. Zhang,

"Lagrangian relaxation and pegging test for the clique partitioning problem,"

Discussion Paper 1291, Department of Social Systems and Management, University of Tsukuba, May 2012.

N. Sukegawa, Y. Yamamoto and L. Zhang,

"Lagrangian relaxation and pegging test for linear ordering problems,"*Journal of the Operations Research Society of Japan* **54** (2011) 4, 142-160.

J. Gotoh, Y. Yamamoto and W. Yao,

“Bounding contingent claim prices via hedging strategy with coherent risk measure,” *Journal of Optimization Theory and Applications** *DOI 10.1007/s10957-011-9899-y.

Errata : The following numerical values should be quadrupled.

p.626, l. 1 : 6.25 and 15.7895

p.626, l. 3 & 4 : 12.7232

p.627, l.21 : 11.3258

p.627 Fig.3 : vertical scale and 12.7232 in the caption

p.628 Fig.4 : vertical scale and 11.3258 in the caption

The authors acknowledge Ms.Dora Ludvig and Dr. Péter Csóka for pointing out the errors.

S. Ryuo, K. Sato and Y. Yamamoto,

“Parameterized fairness axioms on cycle-free games,”*Journal of Global Optimization** *DOI 10.1007/s10898-011-9761-7; Discussion Paper 1248, Department of Social Systems and Management, Graduate School of Systems and Information Engineering, University of Tsukuba, October 2009.

T. Chartier, E. Kreutzer, A. Langville, K. Pedings and Y. Yamamoto,

"Minimum violations sports ranking using evolutionary optimization and binary integer linear program approach,"

presented at The 10th Australasian Conference on Mathematics and Computers in Sport, July 5 - 7, 2010.

J. Gotoh, Y. Takano, Y. Yamamoto and Y. Wada,

“Credit risk optimization via CVaR and its solution,”

Transaction of the Operations Research Society of Japan **54** (2011) 23-42.

K.E. Pedings, A.N. Langville and Y. Yamamoto,

“A minimum violation ranking method,”*Optimization and Engineering** ***13** (2012) 2, 349-370; DOI: 10.1007/s11081-011-9135-5.

K. Sekitani and Y. Yamamoto,

“Optimization modeling for entrance examination including elective subjects,”*Transactions of the Operations Research Society of Japan* **53** (2010) 56-68.

Y. Takano and Y. Yamamoto,

" Metric-Preserving Reduction of Earth Mover's Distance,"*Asia-Pacific Journal of Operational Research* **27** (2010) 39-54.

S. Ryuo and Y. Yamamoto,

“Ranking by relational power based on digraphs,”*Journal of the Operations Research Society of Japan* **52** (2009) 245--262.

Y. Yamamoto,

“Facet-defining valid inequality of the clustering polytope”

J. Gotoh, Y. Yamamoto and W. Yao,

“Bounding Europea-type contingent claim prices via hedging strategy with coherent risk measure,”

Discussion Paper 1240, Department of Social Systems and Management, Graduate School of Systems and Information Engineering, University of Tsukuba, July 2009.

K. Sato and Y. Yamamoto,

"A study on linear inequality representation of social welfare functions,"*Journal of the Operations Research Society of Japan* **52** (2009) 112-130.

J. Gotoh, Y. Takano, Y. Yamamoto and Y. Wada

"Credit risk optimization problem via CVaR and its solution,"

Discussion Paper 1220, Department of Social Systems and Management, Graduate School of Systems and Information Engineering, University of Tsukuba, November 2008 (in Japanese).

Y.-C. Jiao, C. Dang, Y. Yamamoto,

"An extension of the decomposition method for solving nonlinear equations and its convergence,"*Computers and Mathematics with Applications* **55** (2008) 760-775.

K. Sekitani and Y. Yamamoto,

"Optimization modeling for an entrance examination with elective subjects,"

Discussion Paper 1211, Department of Social Systems and Management, Graduate School of Systems and Information Engineering, University of Tsukuba, June 2008 (in Japanese).

Y. Takano and Y. Yamamoto,

" Metric-Preserving Reduction of Earth Mover's Distance and its Application to Non-negative Matrix Factorization,"

Discussion Paper 1209, Department of Social Systems and Management, Graduate School of Systems and Information Engineering, University of Tsukuba, May 2008.

D. Talman and Y. Yamamoto,

"Average tree solution and subcore for acyclic graph games,''*Journal of the Operations Research Society of Japan* **51** (2008) 3, 203-212.

A. Wibowo and Y. Yamamoto,

"The new approach for kernel principal component regression,"

Discussion Paper 1195, Department of Social Systems and Management, Graduate School of Systems and Information Engineering, University of Tsukuba, February 2008.

D. Talman and Y. Yamamoto,

"Games with limited communication structure,"

Discussion Paper 1168, Department of Social Systems and Management, Graduate School of Systems and Information Engineering, University of Tsukuba, February 2007.

Y. Yamamoto and D. Zenke,

"Outer approximation method for the minimum maximal flow problem," *Journal of the Operations Research Society of Japan* **50** (2007) 1, 14-30.

K. Ando, M. Tsurutani, M. Umezawa and Y. Yamamoto,

"Impossibility and possibility theorems for social choice functions on incomplete preference profiles,''*Pacific Journal of Optimization** ***3** (2007) 1, 11-25.

R. Horst, N.v. Thoai, Y. Yamamoto and D. Zenke,

"On optimization over the efficient set in linear multicriteria programming,''*Journal of Optimization Theory and Applications ***134** (2007) 433-443.

J. Wu, W. Yue, Y. Yamamoto and S. Wang,

"Risk analysis of a pay to delay capacity reservation contract,"*Optimization Methods and Software** ***21 **(2006) 4, 635-651.

Y.Yamamoto and D.Zenke,

"Outer approximation method for the minimum maximal flow problem,"

Discussion Paper 1115, Department of Social Systems and Management, Graduate School of Systems and Information Engineering, University of Tsukuba, April 2005.

Y.Yamamoto and D.Zenke,

"Cut and split method for the minimum maximal flow problem,"*Pacific Journal of Optimization* **1** (2005) 2, 387-404.

N.v.Thoai, Y.Yamamoto and A.Yoshise,

"Global optimization method for solving mathematical programs with linear complementarity constraints,"*Journal of Optimization Theory and Applications* **124** (2005) 467-490.

Y.Yamamoto and D.Zenke,

"D.C. optimization methods for the minimum maximal flow problem,"

Discussion Paper 1094, Institute of Policy and Planning Sciences, University of Tsukuba, August 2004.

G.Z. Ruan, S.Y. Wang, Y.Yamamoto and S.S. Zhu,

"Optimality condition and geometric properties of a linear multilevel programming problem with dominated objective functions,"*Journal of Optimization Theory and Applications* **123** (2004) 2, 409-429.

A.J.J.Talman and Y.Yamamoto,

"Continuum of zero points of a mapping on a compact, convex set,"*SIAM J. Optimization* **14** (2004) 4, 1128--1139.

K.Ohbo, M.Tsurutani, M.Umezawa and Y.Yamamoto,

"Social welfare function for restricted preference domain,"*Pacific Journal of Optimization* **1** (2005) 2, 315-325.

K.Ando, A.Ohara and Y.Yamamoto,

"Impossibility theorems on mutual evaluation,"*Journal of the Operations Research Society of Japan* **46** (2003) 523-533 (in Japanese).

S.Y.Wang, Y.Yamamoto and M.Yu,

"A minimax rule for portfolio selection in frictional markets,"*Mathematical Methods of Operations Research* **57** (2003) 141-155.

J.Gotoh, N.v.Thoai and Y.Yamamoto,

"Global optimization method for solving the minimum maximal flow problem,"*Optimization Methods and Software* **18** (2003) 395-415.

M.Shigeno, I.Takahashi and Y.Yamamoto,

"Minimum Maximal Flow Problem - an Optimization over the Efficient Set -,"*Journal of Global Optimization* **25** (2003) 425-443.

Y.C. Jiao, Y. Yamamoto, C. Dang and Y. Hao,

"An aftertreatment technique for improving the accuracy of Adomian's decomposition method,"*Computers and Mathematics with Applications* **43** (2002) 783-798.

Y.Yamamoto,

"Optimization over the efficient set - Overview -,"*Journal of Global Optimization* **22**, 1-4, (2002) 285-317