Peter V. O'Neil
Department of Mathematics
University of Alabama at Birmingham
Birmingham, Alabama 35294
Fax: (205) 934-9025
Telephone: (205) 934-2154
List of Publications
The number of trees in a network (with Paul Slepian, RPI), Proc.
Third Allerton Conf. On Circuit and System Theory, Oct. 20 - 22, 1965,
The number of trees in a network (with Paul Slepian, RPI), IEEE
Trans. Circuit Theory, Vol. CT-13, No. 3, Sept. 1966, 271 - 281.
An application of Fuessner's method to tree counting (with Paul
Slepian, RPI), IEEE Trans. Circuit Theory, Vol. CT-13, No. 3, Sept.
1966, 336 - 339.
The identification of an incompletely partitioned network (with Paul
Slepian, RPI), Quart. Appl. Math., Vol. XXIV, No. 3, Oct. 1966, 270.
Ulam's conjecture and graph reconstructions, Amer. Math. Monthly,
Vol. 77, No. 1, Jan. 1970, 35 - 43.
The number of trees in a certain graph, IEEE Trans. Circuit Theory,
Vol. CT - 17, No. 2, May 1970, 250.
Enumeration of spanning trees containing given subgraphs, Journal
Franklin Institute, Vol. 290, No. 4, Oct. 1970, 389 - 391.
Generalized m-series in tree counting, Journal Franklin Institute,
Vol. 294, No. 2, Aug. 1972, 123 - 126.
The number of trees in a wheel (with Frank Harary, University of
Michigan; R.C. Read, University of Waterloo; and Allen Schwenk, U.S.
Naval Academy), Proc. Oxford 1972 Conference, published by the Institute
of Mathematics Applications of Great Britain.
A short proof of MacLane's planarity theorem, Proc. Amer. Math.
Soc., Vol. 37, No. 2, Feb. 1973, 617 - 618.
A new proof of Menger's theorem, Journal of Graph Theory, Vol. 2,
1978, 257 - 259.
Some applications of matrices and determinants, Alabama Journal of
Mathematics, Vol. 3, No. 1, Spring 1979, 1 - 16.
Some concepts and problems in the theory of graphs, Alabama Journal
of Mathematics, Vol. 4, No. 1, Spring 1980, 31 - 42.
Fundamental Concepts of Topology. Gordan and Breach,
Scientific Publishers, Ltd., London, England, June 1972.
Advanced Calculus, Pure and Applied. MacMillan Publishing
Co., New York, January 1975.
Linear Algebra. Wadsworth Publishing Co., Inc., Belmont,
California, January 1979.
Advanced Engineering Mathematics . Wadsworth Publishing Co.,
Inc., Belmont, California, January 1982.
second edition - September 1986
third edition - January 1991
fourth edition (with Prindle, Weber, Schmidt Publishing Co.,
Boston, Mass.) - January 1994.
Beginning Partial Differential Equations, John Wiley and
Sons, in production.
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