Skip to main content
U.S. flag

An official website of the United States government

Dot gov

Official websites use .gov
A .gov website belongs to an official government organization in the United States.


Secure .gov websites use HTTPS
A lock ( ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Journal of Research Volume 69B

Journal of Research of the National Bureau of Standards, Section B: Mathematics and Mathematical Physics

The Journal of Research of NIST and its predecessors report NIST research and development in metrology and related fields of: physical science, engineering, applied mathematics, statistics, biotechnology, information technology.

For additional information see: About the Journal

Volume 69B

ISSN: 0022-4340

Issues 1-2

Issue 3

Issue 4

Issues 1-2 January 1965

Lectures on matroids, p. 1
Tutte, W. T.

Menger's theorem for matroids, p. 49
Tutte, W. T.

Single-element extensions of matroids, p. 55
Crapo, Henry H.

Minimum partition of a matroid into independent subsets, p. 67
Edmonds, Jack

Lehman's switching game and a theorem of Tutte and Nash-Williams, p. 73
Edmonds, Jack

On the connection between properties of oriented linear graphs and analyses of lumped physical systems, p. 79
Trent, Horace M.

Character subgroups of F-groups, p. 85
Knopp, Marvin I.; Newman, Morris

A note on multipliers of difference sets, p. 87
Brualdi, R. A.

Modification of Edmonds' maximum matching algorithm, p. 91
Witzgall, C; Zahn, C. T., Jr.

On measurable sets and functions, p. 99
Goldman, A. J.

Characteristic relations for nonperiodic solutions of Mathieu's nist-equation, p. 101
Tamir, T.; Wang, H. C.

On the surface duality of linear graphs, p. 121
Edmonds, Jack

Maximum matching and a polyhedron with 0,1-vertices, p. 125
Edmonds, Jack

Abstracts, p. 131

Issue 3 July 1965

A development of theory of errors with reference to economy of time, p. 139
Hersey, Mayo Dyer

Transversals and matroid partition, p. 147
Edmonds, J; Fulkerson, D.R.

Some L2 Markoff inequalities, p. 155
Shampine, Lawrence F.

Some theorems on the permanent, p. 159
Brualdi, R. A.; Newman, M.

On Kirchhoff's law and its generalized application to absorption and emission by cavities, p. 165
Kelly, Francis J.

On a relation between two-dimensional Fourier integrals and series of Hankel transforms, p. 173
Cornacchio J. V.; Soni, R. P.

On convex metrics, p. 175
Witzgall, C.

Some extensions of Banach's contraction theorem, p. 179
Meyers, Philip R.

A variant of the two-dimensional Riemann integral, p. 185
Goldman, A. J.

The use of finite polynomial rings in the factorization of the general polynomial, p. 189
Lloyd, Daniel B.

A primal (all-integer) integer programming algorithm, p. 213
Young, Richard D.

Issue 4 October 1965

Table of Dedekind sums, p. 259
Shipp, R. Dale

Lattice points in a sphere, p. 265
Bleicher, M.; Knopp, M. I.

Error analysis of phase-integral methods. I. General theory for simple turning points, p. 271
Olver, F. W. J.

Error analysis of phase-integral methods .II. Application to wave-penetration problems, p. 291
Olver, F. W. J.

A random walk model of chain polymer adsorption at a surface. II. Effect of correlation between neighboring steps, p. 301
Rubin, Robert J.

Groups of unimodular circulants, p. 313
Austing, Richard H.

A generalization of a result of Newman on multipliers of difference sets, p. 319
McFarland, R. L.

The bridge tournament problem and calibration designs for comparing pairs of objects, p. 323
Bose, R. C.; Cameron, J. M.

The condition of certain matrices, p. 333
Shampine, L. F.

Some number-theoretic calculations, p. 335
Kloss, K. E.

Created September 7, 2012, Updated January 5, 2017