Nancy Eaton

Credentials

EDUCATION:

Emory University, Atlanta GA, Ph.D. in Mathematics awarded May 1992

State University of New York College at New Paltz, New Paltz, NY, BA in Mathematics, Summa cum laude, awarded May 1985

Dutchess Community College, Poughkeepsie, NY, AA in Computer Science awarded January 1984

RESEARCH AREA:

Combinatorics with an emphasis in Graph Theory.

Ph.D. Dissertation: Some Results in Graph Ramsey Theory and Graph Representations.

Advisor: Vojtech Rodl

ACADEMIC POSITIONS HELD:

Professor, University of Rhode Island, 7/05 – present

Associate Professor, University of Rhode Island, 7/98 - present

Assistant Professor, University of Rhode Island, 7/92 - 6/98

OTHER POSITIONS HELD:

Systems Analyst, Central Hudson Gas and Electric Corporation, 6/85 - 8/87

Teaching

COURSES TAUGHT AT URI:

MTH 107 Introduction to Finite Mathematics

MTH 108 Topic in Mathematics

MTH 131 Applied Calculus I

MTH 132 Applied Calculus II

MTH 141 Introductory Calculus with Analytic Geometry

MTH 142 Intermediate Calculus with Analytic Geometry

MTH 215 Introduction to Linear Algebra

MTH 243 Calculus for Functions of Several Variables

MTH 307 Introduction to Mathematical Rigor

CSC 340 Applied Combinatorics

MTH 382 Number Theory

MTH 447 Discrete Mathematical Structures

MTH 451 Introduction to Probability and Statistics

MTH 513 Linear Algebra

MTH 548 Combinatorics and Graph Theory

MTH 592 Topics Course in Graph Theory

MTH 692 Topics Course in Graph Theory

Ph.D. MAJOR ADVISOR:

Gary Tiner. Received Ph.D. in 5/07.

Title of dissertation: On the Erdos-Sos conjecture

Glenn Faubert.  Received Ph.D. in 5/05.

Title of dissertation: Caterpillar Tolerance Representations of Graphs

Mary Ann Saadi.  Received Ph.D. in 12/01
Title of dissertation: Some results on tree-tolerance representations

Thomas Hull.  Received Ph.D. in 5/97
Title of dissertation: Some problems in list coloring bipartite graphs.

Research - Publications:

REFEREED PUBLICATIONS:

[1] With V. Rodl, A canonical Ramsey theorem, Random Structures and Algorithms, 3 (4), 427-444 (1992).

[2] With V. Rodl, Graphs of small dimensions, Combinatorica, 16 (1), 59-85 (1996).

[3] With R. Gould and V. Rodl, On p-intersection representations, Journal of Graph Theory, 21 (4), 377-392 (1996).

[4] With D. Grable, Set representations for almost all graphs, Journal of Graph Theory, 23 (3), 1-12 (1996).

[5] Intersection representations of complete unbalanced bipartite graphs, Journal of Combinatorial Theory Series B, 71 (2), 123-129 (1997).

[6] Ramsey numbers for sparse graphs, Discrete Mathematics, 185, 63-75 (1998).

[7] With T. Hull, Defective list colorings of planar graphs, Bulletin of the Institute of Combinatorics and its Applications, 24 (Jan. 1999).

[8] A near packing of two graphs, Journal of Combinatorial Theory, Series B,  80, 98-103 (2000).

[9] With Andrzej Czygrinow, Glenn Hurlbert, and Mark Kayll, On pebbling threshold functions for graph sequences, Discrete Mathematics, 247 (1-3), 93-105 (2002).

[10] With Z Furedi, A Kostochka, and J Skokan, Tree Representations of K_n,n, European Journal of Combinatorics. 28 (4), 1087-1098 (2007).

[11] With Glenn Faubert, Caterpillar Tolerance Representations of Cycles, Bulletin of the Institute of Combinatorics and its Applications, 51 (Sept. 2007).

ACCEPTED FOR PUBLICATION:

[12] With Gary Tiner, On the Erdös-Sós Conjecture and graphs with large minimum degree, Ars Combinatoria,(2007).

SUBMITTED:

[13] With Mary Ann Barbato,  K_1,3-subdivison Tolerance Representations of Cycles, Discrete Mathematics. Preprint.

[14] With Glenn Faubert, Caterpillar Tolerance Representations, Discrete Math. Preprint.

[15] With Gary Tiner, On the Erdös-Sós Conjecture and maximum paths, Submitted for publication,(2007).

NOTES:

With W.Kook and L. Thoma,  Monotonicity for Complete Graphs, Manuscript. pdf

TECHNICAL REPORTS:

With V. Rodl, A regularity lemma, Emory University Technical Report Series, (1992).

With R. Gould and V. Rodl, On p-intersection representations, Emory University Technical Report Series, (1992).