Professor of Mathematics
Women's Studies Faculty
Teacher Preparation Program Faculty
Humboldt State University
Arcata, CA 95521
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,
BA 1962 Brandeis University, Waltham, Massachusetts.
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),
Humboldt State University, Arcata, California. Coordinator, Expanding Your
Horizons in Science and Math Conferences for Young Women in Grades
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
State College at Salem, Salem, Massachusetts. Instructor, 1/64-6/64.
Mathematics Courses Taught:
Mathematics for Prospective K-8 Teachers
Building Confidence in Mathematics
Calculus I, II, III, IV
Elements of Linear Algebra
Introduction to Algebraic Structures
Workshop in Tutoring Mathematics
In-service Professional Development in Mathematics
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)
"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.
"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,
"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.
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
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
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."