## CURRICULUM VITA

Professor of Mathematics Women's Studies Faculty Teacher Preparation Program Faculty Humboldt State University Arcata, CA 95521 (707) 826-4131 Birth: 26 September 1941; Rochester, New York## Educational Background

(all degrees with mathematics major): PhD 1969 University of California at Santa Barbara, Paul J. Kelly, Advisor. Dissertation topic, "Graph Isomorphisms." MA 1966 University of California at San Diego MAT 1963 Harvard University, Graduate School of Education, Edwin Moise, Advisor. BA 1962 Brandeis University, Waltham, Massachusetts.## Teaching Experience

Humboldt State University, Arcata, California. Visiting Assistant Professor, 1975-77; Assistant Professor, 1977-79; Associate Professor, 1979-83; Full Professor, 1984-present. Redwood Area Math Project, Director (a site of the California Math Project), 1989- . Humboldt State University, Arcata, California. Coordinator, Expanding Your Horizons in Science and Math Conferences for Young Women in Grades 7-12, 1979-1988. University of Central Florida, Orlando, Florida. Exchange Professor, 1983-84. Towson State College, Baltimore, Maryland. Assistant Professor, 1/69-6/75, except academic year 1970-71 spent traveling in Europe; tenure granted 1974. State College at Salem, Salem, Massachusetts. Instructor, 1/64-6/64.## Mathematics Courses Taught:

Finite Mathematics Mathematics for Prospective K-8 Teachers Building Confidence in Mathematics Intermediate Algebra Calculus I, II, III, IV Elements of Linear Algebra Introduction to Algebraic Structures Geometry Graph Theory Workshop in Tutoring Mathematics Directed Study Directed Research In-service Professional Development in Mathematics## Memberships Include:

Mathematics and Education Reform Network National Council of Teachers of Mathematics Association for Women in Mathematics Women and Mathematics Association of Women in Science Bay Area Math/Science Network Task Force on the Representation of Women in Math, Sciences, and Engineering in the California State University University, 1984-85 Representative to "Girls and Science and Technology" and "Women in Engineering: From Vision to Reality" Conferences, 1987.## Honors and Grants

Oustanding Professor, Humboldt State University, 1989-1990 Phi Kappa Phi, Humboldt State University, 1992 Phi Beta Kappa, Brandeis University, 1962. Recipient, $12,000 grant for Innovation in the Instructional Process, Chancellor's Office, California State Colleges and Universities, 1976-77. Recipient for Small Grant Innovation in the Instructional Process to develop Women in Science and Math course, 1977-78. Recipient of grant from National Science Foundation for Project PROMPT (Professors Rethinking Options in Mathematics for Prospective Teachers) 1992-6, (with Dale Oliver)## Publications

"A graph with P points and enough distinct (p-2)-subgraphs is reconstructible," Recent Trends in Graph Theory, 1971, 69-70. "The frequency partition of a graph," ibid, 71-74. "Preparing Teachers for Individualized Teaching of Mathematics," Arithmetic Teacher, May 1975, p.422-4. "Graphical operations which commute with complementation." Proceedings of the Conference on Algebraic Aspects of Combinatorics, Toronto, 1976. p.207-8. "Coding for Fun and Mathematics," Arithmetic Teacher, Vol. 23, No. 8 Dec. 1976, p.597-600. "Minimal graphs having prescribed chromatic number, clique number and maximum degree," with James Benedict; Theory and Applications of Graphs, Lecture Notes in Mathematics, Vol. 642. Springer- Verlag, 1978, p. 132-140. Activity Learning of Mathematics for the Prospective Elementary School Teacher, a report on a project supported by the Fund for Innovation and Improvement in Education, Office of the Chancellor, The California State Universities & Colleges, 1979. Over 200 people have requested copies of this monograph. "The path centrix of a tree," Congressus Numerantium XXI, 1978, p. 195-202. "Multiple-Message Broadcasting in Complete Graphs," with S. Hedetniemi and S. Mitchell, Proceedings of the Tenth Southeastern Conference on Combinatorics, Graph Theory and Computing, Utilitas Mathematica, 1979, p. 251-260. Women in Science and Mathematics Bibliography, distributed by the American Association for the Advancement of Science, June 1979, 38 pages. Revised 1983, Humboldt State University Foundation, 71 pages. Republished with addenda 1989. 77 pages. Editor of Congressus Numerantium XXVI, Proceedings of the West Coast Conference on Combinatorics, Graph Theory and Computing. Humboldt State University, September 5-7, 1979. Utilitas Mathematica Publishing Inc., Winnipeg, 1980, 322 p. "On the Bandwidths of a Graph and Its Complement," with F.R.K. Chung, P. Erdos, R.L. Graham. The Theory and Applications of Graphs, John Wiley & Sons, 1981. p. 243-253. "Discovery Method Teaching: A Case Study Using Graph Theory." Forum, A Faculty and Staff Journal for Humboldt State University, Vol. 3, No. 2, Spring 1981. "A report on the 1982 National Women's Studies Conference." Forum, Vol. 5, Number 1, Fall 1982, p.5-12. NWSA National Women's Studies Association Conference "82 Program Book, "Feminist Connections Throughout Education." June 1982, 88 pages. Edited and prepared by P. Chinn, J. Paydon and R. Ribnick. "The Bandwidth Problem for Graphs and Matrices - Survey," with J. Chvatalova, A.K. Dewdney, N.E. Gibbs. Journal of Graph Theory, Vol. 6, No. 3, Fall 1982, p. 223-254. "Use of Graph Theory Measures for Assessing Diversity of Wildlife Habitat," with Bruce G. Marcot. Mathematical Models of Renewable Resources, R. Lamberson, editor. Humboldt State University Mathematical Modeling Group, 1982. "Women in Mathematics and Science." Association for Women in Mathematics Newsletter, Vol 13, No. 1, Jan-Feb 1983, p.5-7. "A Study of Vertex Domination Critical Graphs," with R.C. Brigham and R.D. Dutton. Technical Report. University of Central Florida, 1984. Editor of Congressus Numerantium, Vol. 41. The Second West Coast Conference on Combinatorics, Graph Theory and Computing. University of Oregon, June 20-22, 1983. Utilitas Mathematica Publishing, Inc., Winnipeg, May 1984, 308 p. "Bandwidth and Peripheral Vertices of Trees," with A.K. Dewdney and T.M. Greene. Congressus Numerantium 39(1983), p.169-178. "On the Clique Graph of the Line Graph" with R.C. Brigham and R.D. Dutton. Congressus Numerantium, Vol. 43, December 1984, p. 175-189. "Realization of Parity Visits in Walking a Graph," with R.C. Brigham, R.D. Dutton and F. Harary. College Mathematics Journal, Vol. 16, No. 4, Sept. 1985, p. 280-282. Faculty Exchanges as a Means of Renewal and Development, To Improve the Academy, Professional & Organizational Development Network in Higher Education, 1985, p.l06-112. Reprinted in J. of Staff, Program & Organizational Development, Vol. 4, No. 4, Winter 1986, p. 99-101. "A Graph Theorist Looks at Peripheral Canals," Journal of Irreproducible Results, Vol. 31, No. 4, April/May 1986, p. 20-21. "Conprimal Graphs" with E. Regener and R.B. Richter. Congressus Numerantium 53(1986), p. 87-94. "Preparing Teachers for Individualized Teaching of Mathematics, May 1975. Reprinted in Preparing Elementary School Mathematics Teachers, NCTM 1988, p. 95-97. "Inductive Patterns, Finite Differences, and a Missing Region." Mathematics Teacher, Vol. 8, No. 6, Sept. 1988, p. 446-8. "Primal Graphs with Maximum Degree at Most 3" with R.B. Richter and M. Truszczynski. Congressus Numerantium, 62(1988), p. 133-48. "On the Edge-Connectivity and Separation Sequences of Rectangular Grid Graphs," with D. Munton. Congressus Numerantium 65(1988), p. 211-220. "Some Results on the Number and Complexity of Recognizing Primal Graphs," with J. Buhler, R.B. Richter and M. Truszczynski. Congressus Numerantium 66(1988), p. 5-10. "Families of Primal Graphs," with R.B. Richter and P. Thoelecke. Ars Combinatoria Vol. 26, June 1988, p. 45-52. "Vertex Domination-Critical Graphs," with R.C. Brigham and R.D. Dutton. Networks, Vol. 18 (1988), p. 173-179. "Sunlike Primal Graphs," with R.B. Richter and M. Truszczynski. Graph Theory and Its Applications: East and West, Annals of the, New York Academy of Sciences, Vol. 576, Dec 1989, p.118-124. "Primal Graphs with Maximum Degree Two," with R.B. Richter and M. Truszczynski. Congressus Numerantium, 70 (1990) 191-4. "Primal Graphs with Small Degree," with B. Richter and M. Truszczynski. Discrete Mathematics, 87 (1991) 237 - 248. "Decomposing Graphs into Primary Graphs," with Lin Yixun. Combinatorics, Algorithms, and Applications. SIAM, 1991, 125-139. "Cuisenaire Rods Go To College," with G. Colyar, M. Flashman and E. Migliore. PRIMUS, Vol. II Number 2, June 1992, p 118 - 130 "Finding the Recurrence Relation for Tiling 2 x n Rectangles," with Robert C. Brigham, Linda M. Holt and Robert S. Wilson. Congressus Numerantium, Volume CV, Number 105, December 1994, P 134-8.## Presentations

Highlights of papers presented at professional meetings: 1994-5: Presentations at 10 campuses of the California State University on łThe Revolution in School Mathematics and Its Effect at the University Level˛ January 1995: Three presentations related to teacher preparation, at the MAA/AMS meeting, SF June 1986, invited participant at the First China/USA International Conference on Graph Theory, Combinatorics, Algorithms and Applications in Jinan, Shandung, PRC talk on "Sunlike Primal Graphs." July 1989, presented paper "Decomposing Graphs into Primary Graphs," at the Second International Conference in Graph Theory, Combinatorics, Algorithms and Applications. This paper grew out of joint research with one of the Chinese mathematicians from the June 1986 conference. April 1988, keynote address for the Rocky Mountain Section of the Mathematical Association of America, Boulder, Colorado. July 1987, invited panelist for the plenary session at the AAAS- (American Society for the Advancement of Science) sponsored conference "Women in Science and Engineering: Changing Vision to Reality," held at the University of Michigan, Ann Arbor, Michigan. December l985, invited presentation at the CMC North Conference on "Creative Visualization and Anxiety Reduction in the Math Classroom." Every Spring (since l977), I have given a presentation at the Southeastern International Conference on Graph Theory, Combinatorics and Computing. This major conference alternates between Florida Atlantic University in Boca Raton, Florida and Louisiana State University in Baton Rouge, Louisiana. February 28, 1989, invited Mathematics Colloquium talk at the University of Central Florida "From Colored Rods to Combinatorics: A Challenging Counting Problem with Humble Origins." November 2, 1988, invited M*A*T*H Colloquium presentation at Sonoma State University on "The Mathematics of Juggling." May 8, 1988, invited Combinatorics Colloquium presentation on "Graph Decompositions" at Northeastern University in Boston, Massachusetts. July 16, 1986, invited Faculty Seminar presentation at Simon Fraser University in Vancouver, B.C. on "Primal Graphs and Primary Graphs." June 10, 1986, invited talk at Shandung Teachers College, Shandung, Jenan, P.R.C. on "Mathematics Teaching in the United States."