2024 icm C题(已标注和部分翻译,便于阅读)

Weinberger, Peter J. Zierler, Neal

BRINDZA, BELA* 1991 Berczes, Attila

Bilu, Yuri F. (Belotserkovskii) Borbely, Albert Bovdi, Victor A. Evertse, Jan-Hendrik Gaal, Istvan

GYORY, KALMAN Hajdu, Lajos Hassan, Al-Zaid Kirschenhofer, Peter Krausz, T. Liptai, Kalman Maksa, Gyula

Mason, Richard Clive Pinter, Akos

RUZSA, IMRE Z. Schmidt, Wolfgang M. Szalay, Laszlo

Tichy, Robert Franz TIJDEMAN, ROBERT Turjanyi, Sandor

Van der Poorten, Alfred J. Vegso, Janos

Waldschmidt, Michel

BROWN, THOMAS CRAIG 1985: Alkan, Ahmet Ugur Alspach, Brian R.

Anderson, Peter Gordon Ardal, Hayri Buhler, Joe P. Chou, Wun-Seng

CHUNG, FAN RONG KING (GRAHAM) FREEDMAN, ALLEN R.

GRAHAM, RONALD LEWIS Hare, Donovan R. HELL, PAVOL

Hsu, Leetsch Charles (Xu, Li Zhi)Landman, Bruce M. Lazerson, Earl Manuch, Jan Mishna, Marni Pei, Ding Yi

2 Pleasants, Peter Arthur Barry Robertson, Aaron RODL, VOJTECH Sertel, Murat R.

Shiue, Peter Jau-Shyong Wang, Jun^1 Weiss, Max L. Yu, Xiu Yuan

BROWN, WILLIAM G. 1973: 6 BRENNER, JOEL LEE* HARARY, FRANK* Jung, Heinz Adolf MOON, JOHN W.

SIMONOVITS, MIKLOS SOS, VERA TURAN

TUTTE, WILLIAM THOMAS*

BUCK, ROBERT CREIGHTON* BOAS, RALPH PHILIP, JR.* Buck, Ellen F.

POLLARD, HARRY STRANGE*

BUKOR, JOZEF Csiba, Peter

Filakovszky, Peter Misik, Ladislav, Jr. SALAT, TIBOR* TOTH, JANOS T. Toth, Laszlo^1 Zsilinszky, Laszlo

BURR, STEFAN ANDRUS ARKIN, JOSEPH*

ARNEY, DAVID CHRISTOPHER Bergum, Gerald E. Bloom, Gary Stuart Cohoon, David K.

DUKE, RICHARD ALTER Eckler, Albert Ross, Jr.

FAUDREE, RALPH JASPER, JR. FRANKL, PETER GOULD, RONALD J.

GRAHAM, RONALD LEWIS Grossman, Jerrold Wayne GRUNBAUM, BRANKO GYARFAS, ANDRAS HARARY, FRANK*

1948 1975: 27 1997 JACOBSON, MICHAEL SCOTT LI, WEN-CH'ING WINNIE LOVASZ, LASZLO Mihok, Peter

NESETRIL, JAROSLAV Porter, Bruce J. Roberts, John A. RODL, VOJTECH Rosta, Vera

ROUSSEAU, CECIL CLYDE SCHELP, RICHARD H.

Semanisin, GabrielSloane, Neil James Alexander SOS, VERA TURAN

SPENCER, JOEL HAROLD

BUSOLINI, DONALD TERENCE CACCETTA, LOUIS Achuthan, Narasimaha R. Achuthan, Nirmala Ananchuen, Nawarat

Ananchuen, Watcharaphong Andrijich, Sharlene M. Anstee, Richard P. Anunchuen, N. Apollonio, Nicola Bru, Rafael Budayasa, K. Caccetta, Peter Dixon, Tony W. El-Batanouny, Samy Foldes, Stephane Foulds, Leslie R. Geelen, James F. Giannini, Lou M. Haggkvist, Roland

Hartman, Irith Ben-Arroyo Higashiyama, Yoichi Hill, Stephen P. Huang, Jing^1 Jia, Rui Zhong Kang, Li Ying Kraetzl, Miro Kulanoot, Araya Kusumah, Yaya S.

Lee, Heung Wing Joseph

1977 4 1985: Lee, Wei Rong Ling, Chen Loosen, Ian

Mardaneh, Elham Mardiyono, S.

ORDMAN, EDWARD THORNE PULLMAN, NORMAN JAY* Purwanto Qi, Li Qun

Rehbock, Volker

Rumchev, Ventseslav G. Shan, Er Fang

Simeone, Bruno (Buluno Ximoang) Smyth, William F. Teo, Kok Lay

VIJAYAN, KAIPILLIL Wallis, Walter Denis Wang, Pei Guang Wang, Song L.^1 Wu, Yong Hong^1 Zhou, Guang Lu

CALKIN, NEIL JAMES Albert, Michael H. Bailey, David H. Baumann, Jolie

Borwein, Jonathan Michael Bowman, Kim Brown, Brittany

Brown, Morgan V.Burkhart, Jessica F. CAMERON, PETER J.

CANFIELD, EARL RODNEY Cochran, Zach Dankelmann, Peter Davis, Jimena L.

De Resmini, Marialuisa J. Drake, Nathan Edds, Jonathan D. Farr, Jeffrey B. Finch, Steven R. Flowers, Timothy B. Frieze, Alan M.

Gao, Shu (Xu) Hong Girgensohn, Roland

GRANVILLE, ANDREW JAMES

2 1996: Hyde-Volpe, Justine C. James, kevin

Jamison, Robert E. Janoski, Janine E. Key, Jennifer D. King, Adam J. Kucera, Ludek Law, Shirley

Lee, Philip Greggory Light, J. Bowman Lockard, Shannon Luke, D. Russell Maharaj, Hiren Manber, Shelley Manna, Dante V.

MCKAY, BRENDAN DAMIEN Merino, Criel Moll, Victor H. Noble, Steven D. Noy, Marc

Penniston, David

Perez Reilly, Elizabeth Purvis, Shannon Race, Shaina Radder, Jeanne Rhoades, Robert C. Ruiz, Jared

Schneider, Keith Shier, Douglas R. Smith, Ethan Stevens, John G. Stout, Amy

Swannack, Charles Taylor, Angela C. Thomas, Diana M.

Thomson, Jan McDonald TOVEY, CRAIG AARON Wilf, Herbert S. Yancey, Matthew

CAMERON, PETER J. Alejandro, Priscila P. Applegate, Ross BABAI, LASZLO Bailey, Rosemary A.

2 1990:

2014 ICM Problem

Using Networks to Measure Influence and Impact

One of the techniques to determine influence of academic research is to build and measure properties of citation or co-author networks.

衡量学术研究影响的方法，看引用和论文合作的网络。

Co-authoring a manuscript usually connotes a strong influential connection between researchers. 论文合作的含义

One of the most famous academic co-authors was the 20th-century mathematician Paul Erd?s who had over 500 co-authors and published over 1400 technical research papers. 举一个例子PAUL ERDOS

It is ironic, or perhaps not, that Erd?s is also one of the influencers in building the foundation for the emerging interdisciplinary science of networks, particularly, through his publication with Alfred Rényi of the paper “On Random Graphs” in 1959. 可能ERDOS还是建立网络科学基础的人 Erd?s’s role as a collaborator was so significant in the field of mathematics that mathematicians often measure their closeness to Erd?s through analysis of Erd?s’s amazingly large and robust co-author network (see the website http://www.oakland.edu/enp/ ). 一个衡量论文合作的network

The unusual and fascinating story of Paul Erd?s as a gifted mathematician, talented problem solver, and master collaborator is provided in many books and on-line websites (e.g., http://www-history.mcs.st-and.ac.uk/Biographies/Erdos.html).

Perhaps his itinerant lifestyle, frequently staying with or residing with his collaborators, and giving much of his money to students as prizes for solving problems, enabled his co-authorships to flourish and helped build his astounding network of influence in several areas of mathematics. 可能他的生活方式推动了他的合作网的发展。 In order to measure such influence as Erd?s produced, there are network-based evaluation tools that use co-author and citation data to determine impact factor of researchers, publications, and journals. Some of these are Science

Citation Index, H-factor, Impact

factor, Eigenfactor, etc. Google Scholar is also a good data tool to use for network

influence or impact data collection and analysis. Your team’s goal for ICM 2014 is to analyze influence and impact in research networks and other areas of society. Your tasks to do this include:

1) Build the co-author network of the Erdos1 authors (you can use the file from the website https://files.oakland.edu/users/grossman/enp/Erdos1.html or the one we include at Erdos1.htm ). You should build a co-author network of the approximately 510 researchers from the file Erdos1, who coauthored a paper with Erd?s, but do not include Erd?s. This will take some skilled data extraction and modeling efforts to obtain the correct set of nodes (the Erd?s coauthors) and their links (connections with one another as coauthors).

第一，建立一个网络，衡量一下510个人之间的联系。到底网络是反应什么？反应共同发表或者相互引用？

There are over 18,000 lines of raw data in Erdos1 file, but many of them will not be used since they are links to people outside the Erdos1 network.

If necessary, you can limit the size of your network to analyze in order to calibrate your influence measurement algorithm.

Once built, analyze the properties of this network. (Again, do not include Erd?s --- he is the most influential and would be connected to all nodes in the network.

In this case, it’s co-authorship with him that builds the network, but he is not part of the network or the analysis.)

1、建立一个网络，把erdos1的作家全部起来

2) Develop influence measure(s) to determine who in this Erdos1 network has significant influence within the network. Consider who has published important works or connects important researchers within Erdos1. Again, assume Erd?s is not there to play these roles.

建立衡量影响的测度方法，决定谁是erdos1 network里最重要的人，考虑谁出版了重要工作或者与erdos1里的重要人物有影响（是不是需要反馈？）

3) Another type of influence measure might be to compare the significance of a research paper by analyzing the important works that follow from its publication.

Choose some set of foundational papers in the emerging field of network science either from the attached list (NetSciFoundation.pdf) or papers you discover. Use these papers to analyze and develop a model to determine their relative influence.

Build the influence (coauthor or citation) networks and calculate appropriate measures for your analysis.

Which of the papers in your set do you consider is the most influential in network science and why? Is there a similar way to determine the role or influence measure of an individual network researcher?

Consider how you would measure the role, influence, or impact of a specific university, department, or a journal in network science? Discuss methodology to develop such measures and the data that would need to be collected.

又回来建立文章的重要性？这个比起来第二问里衡量人的重要性复杂在哪里？

4) Implement your algorithm on a completely different set of network influence data --- for instance, influential songwriters, music bands, performers, movie actors, directors, movies, TV shows, columnists, journalists, newspapers, magazines, novelists, novels, bloggers, tweeters, or any data set you care to analyze.

You may wish to restrict the network to a specific genre or geographic location or predetermined size. 特定风格、地理位置、或预定大小

5) Finally, discuss the science, understanding and utility of modeling influence and impact within

networks. Could individuals, organizations, nations, and society use influence methodology to improve relationships, conduct business, and make wise decisions? For instance, at the individual level, describe how you could use your measures and algorithms to choose who to try to co-author with in order to boost your mathematical influence as rapidly as possible. Or how can you use your models and results to help decide on a graduate school or thesis advisor to select for your future academic work?

6) Write a report explaining your modeling methodology, your network-based influence and impact measures, and your progress and results for the previous five tasks.

The report must not exceed 20 pages (not including your summary sheet) and should present solid analysis of your network data; strengths, weaknesses, and sensitivity of your methodology; and the power of modeling these phenomena using network science.

*Your submission should consist of a 1 page Summary Sheet and your solution cannot exceed 20 pages for a maximum of 21 pages.

This is a listing of possible papers that could be included in a foundational set of influential publications in network science. Network science is a new, emerging, diverse, interdisciplinary field so there is no large, concentrated set of journals that are easy to use to find network papers even though several new journals were recently established and new academic programs in network science are beginning to be offered in universities throughout the world. You can use some of these papers or others of your own choice for your team’s set to analyze and compare for influence or impact in network science for task #3. Erd?s, P. and Rényi, A., On Random Graphs, Publicationes Mathematicae, 6: 290-297, 1959.

Albert, R. and Barabási, A-L. Statistical mechanics of complex networks. Reviews of Modern Physics, 74:47-97, 2002.

Bonacich, P.F., Power and Centrality: A family of measures, Am J. Sociology. 92: 1170- 1182, 1987.

Barabási, A-L, and Albert, R. Emergence of scaling in random networks. Science, 286: 509-512, 1999.

Borgatti, S. Identifying sets of key players in a network. Computational and Mathematical Organization Theory, 12: 21-34, 2006.

Borgatti, S. and Everett, M. Models of core/periphery structures. Social Networks, 21: 375-395, October 2000

Graham, R. On properties of a well-known graph, or, What is your Ramsey

number? Annals of the New York Academy of Sciences, 328:166-172, June 1979.

Kleinberg, J. Navigation in a small world. Nature, 406: 845, 2000.

Newman, M. Scientific collaboration networks: II. Shortest paths, weighted networks, and centrality. Physical Review E, 64:016132, 2001.

Newman, M. The structure of scientific collaboration networks. Proc. Natl. Acad. Sci. USA, 98: 404-409, January 2001.

Newman, M. The structure and function of complex networks. SIAM Review, 45:167-256, 2003.

Watts, D. and Dodds, P. Networks, influence, and public opinion formation. Journal of Consumer Research, 34: 441-458, 2007.

Watts, D., Dodds, P., and Newman, M. Identity and search in social networks. Science, 296:1302-1305, May 2002.

Watts, D. and Strogatz, S. Collective dynamics of `small-world' networks. Nature, 393: 440-442, 1998.

Snijders, T. Statistical models for social networks. Annual Review of Sociology, 37: 131–153, 2011.

Valente, T. Social network thresholds in the diffusion of innovations, Social Networks, 18: 69-89, 1996.

Erdos1, Version 2010, October 20, 2010

This is a list of the 511 coauthors of Paul Erdos, together with their coauthors listed beneath them. The date of first joint paper with Erdos is given, followed by the number of joint publications (if

it is more than one). An asterisk following the name indicates that this Erdos coauthor is known to be deceased; additional information about the status of Erdos coauthors would be most welcomed. (This convention is not used for those with Erdos number 2, as to do so would involve too much work.)

Numbers preceded by carets follow the convention used by Mathematical Reviews in MathSciNet to distinguish people with the same names. Please send corrections and comments to grossman@oakland.edu

The Erdos Number Project Web site can be found at the following URL:

http://www.oakland.edu/enp

ABBOTT, HARVEY LESLIE 1974 Aull, Charles E. Brown, Ezra A. Dierker, Paul F. Exoo, Geoffrey Gardner, Ben

HANSON, DENIS Hare, Donovan R. Katchalski, Meir Liu, Andy C. F. MEIR, AMRAM MOON, JOHN W. MOSER, LEO*

Pareek, Chandra Mohan Riddell, James

SAUER, NORBERT W. SIMMONS, GUSTAVUS J. Smuga-Otto, M. J.

SUBBARAO, MATUKUMALLI VENKATA* Suryanarayana, D. Toft, Bjarne

Wang, Edward Tzu Hsia Williams, Emlyn R. Zhou, Bing

ACZEL, JANOS D. Abbas, Ali E. Aczel, S.

Alsina Catala, Claudi Baker, John A.

Beckenbach, Edwin F. Beda, Gyula

Belousov, Valentin Danilovich Benz, Walter Berg, Lothar Boros, Zoltan Chudziak, Jacek Daroczy, Zoltan Dhombres, Jean G. Djokovic, Dragomir Z.

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PALMER, EDGAR MILAN Papaioannou, Alexis

Partington, Jonathan R.Pebody, Luke Thomas Pikhurko, Oleg B. Pittel, Boris G. Puljic, Marko Quas, Anthony N. Radcliffe, Andrew J. Rasmussen, Steen Reed, Bruce A.

Riordan, Oliver Maxim Rival, Ivan

RODL, VOJTECH

ROSENFELD, MOSHE^1 ROUSSEAU, CECIL CLYDE Ryjacek, Zdenek Saito, Akira

SAKS, MICHAEL EZRA SARKAR, AMITES SAUER, NORBERT W. Schacht, Mathias

SCHELP, RICHARD H. Scott, Alexander D. Shamir, Eliahu

Sidorenko, Alexander F. Simon, Istvan

SIMONOVITS, MIKLOS Sorkin, Gregory B. SOS, VERA TURAN

SPENCER, JOEL HAROLD Stacey, Alan M. Stern, Nicholas

STRAUS, ERNST GABOR*

Sudakov, Benjamin Szabo, Tamas^1

SZEMEREDI, ENDRE Tachibana, Shun-ichi Taraz, Anusch

Thomason, Andrew Gordon THOMASSEN, CARSTEN Tourlakis, Iannis Tucker, Susan L. Tusnady, Gabor

Varopoulos, Nicholas Th. Verstraete, Jacques Vu, Van Ha

Walters, Mark^1

Weinreich, David Egon

WEST, DOUGLAS BRENT Wierman, John C. Wilson, David Bruce

WINKLER, PETER MANN Woodall, Douglas R.

WORMALD, NICHOLAS CHARLES Yang, Jian Sheng^2 Zhang, Ke Min^1

BONAR, DANIEL DONALD Barth, Karl F. Belna, Charles L.

CARROLL, FRANCIS WIILLIAM Colwell, Peter

PIRANIAN, GEORGE*

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ENTRINGER, ROGER CHARLES FAJTLOWICZ, SIEMION Fan, Genghua Haggkvist, Roland Halberstam, Fay Y.

Hartman, Irith Ben-Arroyo HELL, PAVOL

HEMMINGER, ROBERT LOUIS Hopkins, Glenn W.

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SIMONOVITS, MIKLOS STATON, WILLIAM A., III Szwarcfiter, Jayme Luiz Thomasse, Stephan

THOMASSEN, CARSTEN TUZA, ZSOLT van den Heuvel, Jan Veldman, Henk Jan Vince, Andrew J. Welsh, Dominic J. A.

BONNET, ROBERT Abraham, Uri

Bekkali, Mohamed Corominas, Ernest Duffus, Dwight A. Faouzi, Latifa Kubis, Wieslaw Pouzet, Maurice Rubin, Matatyahu

SHELAH, SAHARON Si-Kaddour, Hamza Woodrow, Robert E.

BOROSH, ITSHAK Blakley, G. Robert

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FRAENKEL, AVIEZRI SIEGMUND Fulling, Stephen A. Hartfiel, Darald J. Hensley, Douglas

HOBBS, ARTHUR M. Holcomb, Trae

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NIVEN, IVAN MORTON* Robertson, Steven E. Rodgers, Peter Thompson, C. L.

WILLIAMSON, ALAN GLYNNE

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Bearman, Jacob E. BEASLEY, LEROY B.

BOAS, RALPH PHILIP, JR.* Brenner, Charles Brown, B. W., Jr.

BROWN, WILLIAM G. Brualdi, Richard A. Carlitz, Leonard

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Lyndon, Roger C.

MacLeod, Robert Allister

MAYS, MICHAEL ELLSWORTH Olesky, D. Dale Randall, M.

Reitwiesner, George W. Riddell, James Ruehr, Otto G. Sherman, N.

Silberger, Donald M. Srivastava, Hari Mohan SZALAY, MIHALY

Wang, Edward Tzu HsiaWiegold, James WILLIAMSON, ALAN GLYNNE

BRILLHART, JOHN DAVID Apel, Geoffrey

BLECKSMITH, RICHARD FRED Carlitz, Leonard Filaseta, Michael A. Gerst, Irving

Hallyburton, John C., Jr. Johnson, Gene Douglas Lehmer, Derrick Henry Lehmer, Emma Lomont, John S.

MONTGOMERY, PETER L. Morrison, Michael A. MORTON, PATRICK

ODLYZKO, ANDREW MICHAEL SELFRIDGE, JOHN L. Silverman, Robert D. Tonascia, J.

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WAGSTAFF, SAMUEL STANDFIELD, JR.

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Wheeler, Richard G. Wybranietz, Dieter

BATEMAN, PAUL TREVIER Brown, John Wesley

CHOWLA, SARVADAMAN D. S.* Datskovsky, Boris A.

DIAMOND, HAROLD GEORGE Duquette, Alfred L.Grosswald, Emil Hall, R. S.

HILDEBRAND, ADOLF J. Horn, Roger A.

Jockusch, Carl G., Jr. Kloss, Kenneth E.

Knopp, Marvin Isadore Kohlbecker, Eugene E. Low, Marc E.

POMERANCE, CARL BERNARD PURDY, GEORGE BARRY SELFRIDGE, JOHN L. Stemmler, Rosemarie M. STRAUS, ERNST GABOR* Tull, Jack P.

VAUGHAN, ROBERT CHARLES

WAGSTAFF, SAMUEL STANDFIELD, JR. Woods, Alan R.

BAUMGARTNER, JAMES EARL Balcerzak, Marek Dordal, Peter Lars Foreman, Matthew D.

5 1979: 2 1950: Frankiewicz, Ryszard

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HIGGS, DENIS ARTHUR Kleinberg, Eugene M. KOMJATH, PETER LARSON, JEAN ANN Laver, Richard Malitz, Jerome I. MATE, ATTILA

McKenzie, Ralph Nelson Prikry, Karel

Reinhardt, William N. SHELAH, SAHARON Spinas, Otmar Tall, Franklin D.

TAYLOR, ALAN DANA Thomas, Simon R. Todorcevic, Stevo B. van Douwen, Eric Karel Wagon, Stanley Weese, Martin Zbierski, Pawel

BEASLEY, LEROY B. BRENNER, JOEL LEE* Brown, David Edward^2 Brualdi, Richard A. Cheon, Gi-Sang Coster, Daniel C. Cummings, Larry J.

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Guterman, Alexander E. Jun, Young Bae Kang, Kyung-Tae Kim, An-Hyun

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WILLIAMSON, ALAN GLYNNE Ye, Shumin Yi, Sucheol Zhu, Zewen

BECK, ISTVAN Aubert, Karl Egil

BEJLEGAARD, NIELS FISHBURN, PETER C. Krogdahl, Stein Moran, Gadi Trosborg, Peter J.

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CHARTRAND, GARY THEODORE Cooper, John K., Jr. Hajiabolhassan, Hossein HARARY, FRANK* Hatami, Pooya Lesniak, Linda M.

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DEUBER, WALTER A.* Downarowicz, Tomasz Fish, Alexander Furstenberg, Hillel Gorodnik, Alexander Haland, Inger Johanne HINDMAN, NEIL B. Host, Bernard

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Mann, Avinoam SIRAN, JOZEF TUZA, ZSOLT

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Schlitt, Greg M.SHELAH, SAHARON Simpson, Stephen G. Stanojevic, Caslav V. TAYLOR, ALAN DANA Van den Bussche, Jan Veanes, Margus

WEISS, GARY LYNN

BLECKSMITH, RICHARD FRED Apel, Geoffrey

BRILLHART, JOHN DAVID Brudno, Simcha Filaseta, Michael A. Gerst, Irving

Laud, Purushottam W. McCallum, Michael Nicol, Charles A. Null, Gilbert

SELFRIDGE, JOHN L.

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BRENNER, JOEL LEE*

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Chandrasekharan, Komaravolu Gonzalez-Fernandez, J. M. Imoru, Christopher Olutunde Izumi, Shin-ichi KAC, MARK*

KLAMKIN, MURRAY SEYMOUR* Klema, Virginia C.Levinson, Norman Marcus, Michael B.

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DARST, RICHARD BRIAN Davis, Richard A. Flora, Mark D. Frances, Felix Gupta, Sat Narain

1981 Heo, Jun-Hang Inkret, William C. Jayasumana, Anura P.

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CATLIN, PAUL ALLEN* Chayes, Jennifer Tour

CHUNG, FAN RONG KING (GRAHAM) CLARK, LANE HENRY Cockayne, Ernest James Cooper, Colin Coppersmith, Don Cutler, Jonathan Drew Das, Gautam

DAYKIN, DAVID E.Donadelli, Jair Duchet, Pierre Egawa, Yoshimi Eldridge, Stephen E. Elkin, Michael Fang, Zu Yao

FAUDREE, RALPH JASPER, JR.

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Goldsmith, Donald L. Gotsman, Craig

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JANSON, SVANTE Jayawardene, Chula J. JIN, GUO PING Johnson, John Robert Karonski, Michal Keevash, Peter Kim, Jeong Han Kindler, Guy

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