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'''Michael D. Plummer''' is a retired professor from Vanderbilt University. His field of work is in graph theory in which he has produced over a hundred papers and publications. Michael has also spoken at over a hundred and fifty guess lectures around the world.
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Michael D. Plummer was born in Akron, Ohio on August 31, 1937. He later grew up in Limah, Ohio where he attended Lima Central High School. Michael graduated from Lima Central High School in 1955 and went on to Wabash College in Crawfordsville, IN on a honor scholarship. While at Wabash College, Michael double majored in mathematics and physics. He then graduated from Wabash College and went on to a graduate fellowship in physics at the University of Michigan. After one year of the program, Michael realized his passion for mathematics and switched to the graduate mathematics program at the University of Michigan. In 1966 Michael Plummer graduated as a Phi Beta Kappa and was awarded his Ph. D. in mathematics.
Michael later went on to Yale University for his Post- Doctoral Instructorship from 1966 to 1968 in New Haven, CT. He then went on to accept an Assitant Professorship at City College of New York. Michael was one of the first faculty members of the new Department of Computer Science. Michael then furthered his carrer in 1970 as he joined the Department of Mathematics at Vanderbilt University. It was there that he spent the remainder of his career before retiring in 2008 as a Professor of Mathematics Emeritus. Michael continues to be active in graph theory since retirement producing over a hundered papers and publications <ref>M. Plummer,Personal Communication, April 10, 2013</ref>
==Service at Vanderbilt (Department and University)==
Director of Graduate Studies
•Mathematics Department Delegate to Graduate Faculty Assembly
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•Judge, International Science Fair
'''Courses Taught at other Universities:'''<br>
Automata Theory, Abstract Algebra, Differential Equations, and assorted calculus and analytic geometry courses.
Fields of Specialization:
Graph Theory
Visiting Professor, Shanghai International Studies University, Shanghai, China, July–August, 2012<br>
Visiting Professor, Lanzhou University, Lanzhou, China, September, 2011<br>
Visiting Professor, Department of Mathematics, Otago University, Dunedin, New Zealand,October–November, 2008.<br>
Visiting Professor,
Visiting Professor,
Visiting Professor, Nankai University, Tianjing, China, September 1-October 9, 2006.<br>
Visiting Professor,
Visiting Professor, Nihon University, Tokyo, Japan, June, 2003.<br>
Visiting Professor,
Visiting Professor,
Visiting Professor, Silpakorn University
Visiting Professor, Nihon University, Tokyo, Japan, June,
Visiting Professor, Silpakorn University, Bangkok, Thailand, May
Visiting Professor, Odense University
Visiting Professor,
Visiting Professor,
Visiting Professor,
Visiting Professor,
Visiting Professor,
Visiting Professor, University of
Visiting
Visiting
Visiting Professor, Laboratoire de Recherche en Informatique, University of Paris - Sud, Orsay, France, June,
William Evans Visiting
Visiting Professor, Mathematics Institute of Hungarian Academy of Sciences, Budapest, August - December, 1983.<br>
Visiting Professor, Institut f¨ur ¨Okonometrie und Operations Research, Rheinische Friedrich-<br>
Wilhelms-Universit¨at Bonn, July, 1980, January 1981 - July 1981.<br>
Visiting Research Mathematician, Mathematics Institute, Hungarian Academy of Science, Budapest, August, 1980 - December, 1980.<br>
Visiting Senior Associate, University of Melbourne, June - July, 1979.<br>
Professor of Mathematics, Vanderbilt University, April 28, 1978 - 2008.<br>
Visiting Research Mathematician, Mathematics Institute, Hungarian Acad. Sci., Budapest, 1975-76.<br>
Visiting Research Mathematician,
Associate Professor, Vanderbilt University, 1970-1978.<br>
Assistant Professor,
Instructor, Yale University, 1966-1968.
=====Professional and Academic Honors
Top Cited Article in journal Discrete Mathematics for period 2005-2010, 2010
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(shared with co-author L´aszl´o Lov´asz for book: Matching Theory)
Foundation Fellow, Institute of Combinatorics and its Applications (Canada), 1990<br>
American Men and Women of Science, 1990
Professional Organizations:
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Journal Editorial Boards: Thai Journal of Mathematics and Utilitas Mathematica
Member of :<br>
• American Mathematical Society<br>
• Mathematics Association of America<br>
• American Association for the Advancement of Science<br>
• SIAM (Society for Industrial and Applied Mathematics)
Referee for:<br>
• SIAM Journal of Applied Analysis <br>
• Pacific J. Mathematics<br>
• American Mathematical Monthly<br>
• Israel Journal of Mathematics<br>
• Journal of Combinatorial Theory <br>
• Aequationes Mathematicae<br>
• Discrete Mathematics <br>
• J. Graph Theory<br>
• Indian Journal of Mathematics<br>
• J. Australian Math. Society<br>
• Proc. London Mathematical Society <br>
• J. Mathematics and Physics (India)<br>
• Proc. American Math. Society <br>
• Rocky Mountain J. of Mathematics<br>
• Canadian Mathematics Bulletin <br>
• Annals of Discrete Mathematics<br>
• J. Combin. Math. Combinatorics <br>
• Utilitas Mathematica<br>
• John Wiley & Sons (Conference Proc.) <br>
• Discrete Applied Mathematics<br>
• Ars Combinatoria <br>
• Graphs and Combinatorics (Japan)<br>
• Periodica Mathematica Hungarica <br>
• Australasian J. Combinatorics<br>
• Naval Research Logistics <br>
• Pi Mu Epsilon Journal<br>
• Discussiones Mathematicae (Poland) <br>
• Graph Theory Notes of New York
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OPTIMA (Mathematical Programming Society Newsletter)
=====Publications=====
1. On a family of line-critical graphs. Monatsch. Math. 71, (1967), 40-48.
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7. (with Frank Harary) On the core of a graph. Proc. London Math. Soc., 17, (1967),305-314.
8. On the point-core of a graph. Math.
9. On indecomposable graphs. Can. J. Math., 19, (1967), 800-809.
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17. (with L. Lov´asz)On bicritical graphs. Proceedings of International Colloquium on
Infinite and Finite Sets, Bolyai Jan´os Math. Soc., Budapest (1975), 1051-1079.
18. On a family of planar bicritical graphs. Proc. London Math. Soc., 30
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20. (with A. Bondy)Separating cycles in graphs, Proc. Fifth British Combinatorial Conference, Congress. Numer. 15, 1976, 85-90.
21. (with L. Lov´asz)On minimal elementary bipartite graphs, J. Comb. Theory (B), 23, (1977), 127-138.
22. Mengerian theorems for paths of bounded
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114. (with R.E.L. Aldred) Graphs with the cycle extension property, Australas. J. Com-
bin. 52, 2012, 293-305.
115. (with R.E.L. Aldred) Proximity Thresholds for matching extension in the torus and
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New York, 2011, 73-104.
======Papers delivered at conferences
1. Second Ann Arbor Graph Theory Conference, Ann Arbor, Michigan, February , 1968.
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3. Third Waterloo Conference on Combinatorics, Waterloo, Ontario, Canada, May 1968.
4. Second Louisiana Conference on Combinatorics, Graph Theory, and Computing, Baton Rouge, Louisiana, March, 1971.
5. Third Southeastern Conference on Combinatorics, Graph Theory, and Computing,Boca Raton, Florida, March 1972.
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44. First Annual INTAS Conference on Graph Theory, Novosibirsk, Russia, August, 1999.
45. South African Graph Theory Conference, Itala, South Africa, June
46. Eighteenth British Combinatorial Conference, Canterbury University, Brighton, England, July
47. Recent Trends in Graph Theory, Algebraic Combinatorics, and Graph Algorithms,
Bled, Slovenia, September
48. Nineteenth British Combinatorial Conference, University of Wales, Bangor, Wales, UK, June 29-July 4, 2003.
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49. Graph Theory Day 2003, Univ. of Southern Denmark, Odense, Denmark, September, 2003.
50. Graph Theory 2003, Nyborg, Denmark, November
51. Conference in memory of Claude Berge, Universit´e de Paris, Paris, France, July, 2004.
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53. Twenty-first British Combinatorial Conference, Reading University, Reading, UK,
July
54. Twenty-second Cumberland Conference on Combinatorics, Graph Theory and Computing,
Western Kentucky University, Bowling Green, KY, USA, May
55. Journ´ee Graphs, University of Paris - Sud, Orsay, France, June, 2009.
56. Twenty-second British Combinatorial Conference, St. Andrews University, St. Andrews,
Scotland, July
57. Kolding Graph Theory Conference, Kolding, Denmark, April/May, 2011.
======Invited Guest Lectures
1. Michigan State University, 1966<br>
2. University of Michigan, 1967<br>
3. Bell Laboratories, Murray Hill, 1968<br>
5. City College of New York, 1968<br>
7. University of Arizona, 1970<br>
8. Memphis State University, 1972<br>
9. Mathematical Association of America (Ohio Section), 1974<br>
10. Mathematics Institute, Hungarian Academy of Science, Budapest, 1975<br>
21. Deakin University, Australia, 1979<br>
22. American Mathematical Society Special Session (Kent State University), 1979<br> 23. University of Szeged, Szeged, Hungary, 1980<br>
24. Institute for Computer Science, Polish Academy of Science, Warsaw, Poland, 9/1980<br>
25. Institute for Computer Science, University of Wroclaw, Wroclaw, Poland, 9/1980<br>
26. Mathematics Institute Czechoslovak Academy of Sciences, Prague, Czechoslovakia, 10/1980<br>
27. Mathematical Institute of Hungarian Academy of Sciences, Budapest, 11/1980.<br>
28. American Mathematical Society Special Session (San Francisco), 1/1981<br>
29. Institut f¨ur angewandte Mathematik, Montanuniversit¨at, Leoben, Austria, 1/1981<br>
30. Erasmus University, Rotterdam, The Netherlands, 4/1981<br>
31. Mathematical Centrum, Amsterdam, The Netherlands, 4/1981<br>
32. Institut f¨ur ¨Okonometrie und Operations Research, University of Bonn, Germany, 4/1981<br>
33. Fachbereich Mathematik, Technische Universit¨at, Berlin, Germany, 5/1981<br>
34. Frei Universit¨at Berlin, West Berlin, 1981<br>
35. Mathematisches Institut, University of Hannover, Germany, 5/1981<br>
36. Mathematisk Institut, University of Aarhus, Denmark, 5/1981<br>
37. Cambridge University, Cambridge, England, 7/1981<br>
38. New York Academy of Sciences, New York, New York, 5/1983<br>
39. Technische Hochschule Ilmenau, Ilmenau, East Germany, 11/1983<br>
40. P¨adagogische Hochschule Dresden, Dresden, East Germany, 11/1983<br>
41. American Mathematical Society Special Session (University of South Alabama at Mobile), 5/1985<br>
42. University of Otago, Dunedin, New Zealand, 8/1986<br>
43. University of Auckland, Auckland, New Zealand, 8/1986<br>
44. University of British Columbia, Vancouver, Canada, 5/1987<br>
45. American Mathematical Society Special Session, (Pacific Lutheran University), 6/1987<br>
46. Mathematics Symposium, Western Kentucky University, 10/1987<br>
47. American Mathematical Society Special Session, (Atlanta, Georgia), 1/1988<br>
48. University of Michigan, 1/1988<br>
49. St. Mary’s University, Halifax, Nova Scotia, 3/1988<br>
50. Dalhousie University, Halifax, Nova Scotia, 3/1988<br>
51. Montanuniversit¨at Leoben, Leoben, Austria, 6/1988<br>
52. Graph Theory Week at Oberwolfach, Mathematisches Forschungsinstitut, Oberwolfach, West Germany, June, 1988<br>
53. The Third Clemson ONR Conference on Discrete Mathematics, Clemson University,10/88<br>
54. Second Cumberland Conference on Applications of Graph Theory to Computer Science, Memphis State University, 5/89<br>
55. American Mathematical Society Special Session, (Fayetteville, Arkansas), 3/1990<br>
56. Graph Theory Week at Oberwolfach, Mathematisches Forschungsinstitut, Oberwolfach,West Germany, June, 1990<br>
57. Laboratoire de Recherche en Informatique, Univ. Paris-Sud, Orsay, France, June,1990 (3 talks)<br>
58. Universit´e Pierre et Marie Curie, Paris, France, June, 1990<br>
59. Mathematics Institute of Czechoslovak Academy of Sciences, Prague, Czechoslovakia,July, 1990<br>
60. Plenary Speaker, Twentieth Conference on Numerical Mathematics and Computing,<br>
Winnipeg, Manitoba, Canada, September, 1990<br>
61. Georgia Institute of Technology, March, 1991<br>
62. Operations Research Society of America, Nashville, May, 1991<br>
63. Blundon Lecture, 15th Annual Atlantic Mathematics Days 1991, Atlantic Provinces<br>
Council on the Sciences, Halifax, Nova Scotia, Canada, October, 1991<br>
64. Principal Speaker, Applied Mathematics Meeting, Combined University of
65. Northwestern University, April, 1992<br>
66. Twenty-first Ohio State—Denison Mathematics Conference, Denison University, May,1992<br>
67. Curtin University of Technology, Perth, Australia, July, 1992 (2 lectures)<br>
68. Sixth Cumberland Conference on Graph Theory and Computing, Rhodes College, Memphis, May, 1993<br>
69. Montanuniversit¨at Leoben, Leoben, Austria, July, 1993<br>
71. Curtin University of Technology, Perth, Australia, February, 1994<br>
73. Otago University, Dunedin, New Zealand, April, 1994 (2 lectures)<br>
74. Principal Speaker, Seventh Cumberland Conference on Graph Theory and Computing,University of Alabama at Huntsville, Huntsville, Alabama, May, 1994<br>
75. American Mathematical Society Special Session, San Francisco, January, 1995<br>
76. Centre de Recherch´e, Universit´e de Paris-Sud, Orsay, France, June, 1995<br>
78. University of Louisville, Louisville, Kentucky, March, 1996<br>
79. Ninth Cumberland Combinatorial Conference, University of Mississippi, Oxford, Mississippi,May, 1996<br>
82. American Mathematical Society Special Session: Graph Theory, The University ofMemphis, Memphis, Tennessee, March 21–22, 1997<br>
83. Tenth Cumberland Combinatorial Conference, Emory University, Atlanta, Georgia,May, 1997<br>
86. University of Zimbabwe, Harare, Zimbabwe, August, 1997<br>
87. American Mathematical Society Special Session: Graph Theory, The University of Louisville, Louisville, Kentucky, March 20–21, 1998<br>
89. University of Zimbabwe, Harare, Zimbabwe, August, 1998<br>
90. Main Invited Lecturer, Workshop on Graph Colorings, Stara Lesna, Slovakia, September 1998<br>
91. Technische Universit¨at, Berlin, Germany, October, 1998<br>
92. C.N.R.S., Grenoble, France, October, 1998<br>
93. Dept. of Mathematics, Odense University, Odense, Denmark, October, 1998<br>
94. Dept. of Computer Science, Odense University, Odense, Denmark, October, 1998<br>
95. Aalborg University, Aalborg, Denmark, November, 1998<br>
96. Dept. of Computer Science, Yale University, New Haven, Connecticut, April, 1999<br>
97. Twelfth Cumberland Combinatorial Conference, University of Louisville, Louisville,
Kentucky, May, 1999<br>
98. The Fourteenth Mini-Conference on Discrete Mathematics (sponsored by NSA), Clemson
University, Clemson, South Carolina, September, 1999<br>
99. St. Marys University, Halifax, Nova Scotia, Canada, October, 1999<br>
100. American Mathematical Society Special Session: Graph Theory, The University of
Louisiana at Lafayette, Louisiana, April
101. Hong Kong University of Science and Technology, May, 2000<br>
102. University of Science and Engineering, Tokyo, Japan, June, 2000<br>
103. American Mathematical Society Special Session: Graph Theory, The University of
Nevada, Las Vegas, Nevada, April
104. Conference on Graph Theory (in honor of the 60th Birthday of Wilfried Imrich), Bled,
Slovenia, September, 2001<br>
105. American Mathematical Society Special Session: Graph Theory, The University of
Tennessee at Chattanooga, October
106. American Mathematical Society Special Session: Graph Theory, Georgia Institute of
Technology, Atlanta, Georgia, March, 2002<br>
107. Keynote Speaker, Annual Conference on Mathematics and its Applications, Center forPromotion of Mathematical Research of Thailand and the Mathematical Society of Thailand, Prince of Songkla University, Songkla, Thailand, May 13–14, 2002<br>
108. University of Otago, Dunedin, New Zealand, June, 2002<br>
112. All-Tokyo University Graph Seminar, Nihon University, June, 2003.<br>
113. Zentrum f¨ur Informationstechnik (ZIB), Berlin, Germany, August, 2003.<br>
114. Plenary Talk, Cycles and Colourings ’03, A Workshop, Stara Lesna, Slovakia, August 31 - September 5, 2003<br>
115. Plenary Talk, Advances in Graph and Matroid Theory, Ohio State University, Columbus,Ohio, December 13–16, 2003.<br>
116. St. Mary’s University, Halifax, Nova Scotia, January, 2004.<br>
117. Conference in Honor of P´al Erd˝os, The University of Memphis, Memphis, Tennessee,March 24, 2004.<br>
118. Seventeenth Cumberland Combinatorial Conference, Middle Tennessee State University, Murfreesboro, Tennessee, May, 2004.<br>
119. Thirty-ninth Midwest Graph Theory Conference, Ball State University, Muncie, Indiana,November, 2004<br>
121. American Mathematical Society Special Session: Graph Theory, Western Kentucky University, Bowling Green, Kentucky, March, 2005<br>
122. American Mathematical Society Special Session: Graph Theory, Texas Tech University,Lubbock, Texas, April, 2005<br>
123. Invited Plenary Speaker, The Eleventh Workshop on Graph Theory: Colouring, Independence and Domination (CID), Karpacz, Poland, September 18-September 23, 2005.<br>
124. University of Illinois, Urbana, Illinois, February 7, 2006.<br>
125. Xinjiang University, Urumchi, China, September, 2006.<br>
127. Nankai University, Tianjin, China, September–October, 2006.<br>
128.
129. Keio University, Yokohama, Japan, October, 2006.<br>
131. American Mathematical Society Special Session: Graph Theory, Miami University,Oxford, Ohio, March, 2007.<br>
132. Invited Plenary Speaker, East Coast Combinatorial Conference, Mount Allison University,Sackville, New Brunswick, Canada, April, 2007.<br>
133. Eleventh C5 Graph Theory Workshop “Cycles, colorings, cliques, claws and closures”,Kurort Rathen, Germany, May, 2007.<br>
134. American Mathematical Society Special Session: Graph Theory, Middle Tennessee State University, Murfreesboro, Tennessee, November, 2007.<br>
135. SIAM Special Session: Graph Theory, The University of Central Florida, Orlando,Florida, March 14–15, 2008<br>
136. Invited Plenary Speaker, Building Bridges: A Conference on Mathematics and Computer Science in Honor of 60th Birthday of L´aszl´o Lov´asz, Hungarian Academy of Sciences, Budapest, Hungary, August, 2008<br>
138. Department of Mathematics, University of Otago, Dunedin, New Zealand, October,2008.<br>
139. Invited Plenary Speaker, Third International Conference on Combinatorics, Graph Theory and Applications, Elgersburg, Germany, March 23–27, 2009.<br>
140. Department of Mathematics, Middle Tennessee State University, March, 2009.<br>
141. All-Tokyo Graph Theory Seminar, Tokyo University of Science, Tokyo, Japan, April,2009.<br>
142. Keynote Speaker, Special Session on Graph Theory, Atlantic Provinces Council on the Sciences, St. Marys University, Halifax, Nova Scotia, Canada, October, 2010<br>
143. Invited Speaker, Kyoto Prize Conference, Tokyo, Japan, November, 2010.<br>
144. Invited Speaker, Kolding Graph Theory Conference, Kolding, Denmark, April, 2011.<br>
145. 3 lectures, Department ofMathematics, Lanzhou University, Lanzhou, China, September,2011<br>
146. Department of Mathematics and Computer Science, Qinghai Normal University,Xining, China, September, 2011<br>
147. All-Tokyo Saturday Seminar, Tokyo University of Science, Tokyo, Japan, September,2011<br>
148. Invited Speaker, Special Session on Graph Theory, Amer. Math. Soc., Univ. of Southern Florida, Tampa, Florida, March, 2012.<br>
149. Invited Speaker, Conference on Cycles in Graphs, Vanderbilt Univ., May/June,2012.<br>
150. Invited Speaker, Special Session, SIAM Conference on Discrete Mathematics, Halifax,Canada, June, 2012.<br>
151. Invited Speaker, Conference on Graph Theory, Ibaraki University, Hitachi, Japan, August,2012.<br>
152. Invited Speaker, American Mathematical Society Special Session on Graph Theory (University of Mississippi), March 2013.
======Ph.D. Dissertations Supervised======
1. Donald Arthur Nelson: “The Structure of Critically 2- and 3-connected Graphs,” August,1974.
2. Jo Ann Wade Staples: “On Some Subclasses of Well-covered Graphs,” August, 1975.
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7. Erika Cox King: “Characterizing and comparing some classes of well-dominated and well-covered graphs”, May, 2003
======M.
1. Andre George: “On Line-Critical Graphs”, Vanderbilt University, August 1971.
2. Donald A. Nelson: “Hamiltonian Graphs”, Vanderbilt University, May 1973.
3. Carolyn Gailey: “One-factors in Graphs”, Vanderbilt University, May 1974.
==Sources==
<references />
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