Associate Professor, Computer Science

University of Memphis, Memphis, TN 38152

(Retired as of June2001)

Send email to: edward@ordman.net

**Contact
Information**

U of Memphis CS
Program Dept.
of
Math
Sciences

Contents:

**
A few of my publications**

**
Some Places I've been**

**
Contact Information**

**
Current Projects**

**
Biographical Information**

**
Some Other Interests**

**
Something my mother noticed\**

**
A
few
of
my publications **(indicating range of
interests)

Here in approximate last-to-first order are items in the Math Reviews index, with Math Reviews reference and subject numbers. Some items I haven't found in Math Reviews appear below them.

MR1887967 (2002m:05127) Erdős, Paul; Faudree, Ralph; Ordman,
Edward T.;
Rousseau, Cecil; Schelp, Richard Blocking sets for paths of a
given
length. J. Combin. Math. Combin. Comput. 40 (2002), 65--78.
05C38

MR1774946 (2001d:68170) Ordman, E. T.; Eberbach, E.; Anwar, A.
Generalized mutual exclusion with semaphores only. Fund.
Inform. 40
(1999), no. 4, 407--422. 68Q85

MR1476451 Erdős, Paul; Ordman, Edward T.; Zalcstein,
Yechezkel.
Clique partitions of chordal graphs [MR1264716 (95g:05080)].
Combinatorics, geometry and probability (Cambridge, 1993),
291--297,
Cambridge Univ. Press, Cambridge, 1997. 05C70

MR1358508 (96g:05101) Ordman, Edward T. Cliques in hypergraphs
and
mutual exclusion using tokens. J. Combin. Math. Combin.
Comput. 19
(1995), 209--224. 05C65

MR1313949 (96a:05114) Chen, Guan-Tao; Erdős, Paul; Ordman,
Edward T.
Clique partitions of split graphs. Combinatorics, graph
theory,
algorithms and applications (Beijing, 1993), 21--30, World
Sci. Publ.,
River Edge, NJ, 1994. 05C70

MR1267302 (95d:68108) Ordman, Edward T.; Schmitt, William
Permutations
using stacks and queues. Proceedings of the Twenty-fourth
Southeastern
International Conference on Combinatorics, Graph Theory, and
Computing
(Boca Raton, FL, 1993). Congr. Numer. 96 (1993), 57--64.
68R05
(05C85 68P05)

MR1264716 (95g:05080) Erdős, Paul; Ordman, Edward T.;
Zalcstein,
Yechezkel Clique partitions of chordal graphs. Combin. Probab.
Comput.
2 (1993), no. 4, 409--415. 05C70

MR1110842 (92j:05172) Ordman, Edward T. Distributed graph
recognition
with malicious faults. Graph theory and its applications: East
and West
(Jinan, 1986), 417--430, Ann. New York Acad. Sci., 576, New
York Acad.
Sci., New York, 1989. 05C90 (68M10 68R10)

MR1030379 (90i:05047) Erdős, P.; Gyárfás, A.; Ordman, E.
T.; Zalcstein, Y. The size of chordal, interval and threshold
subgraphs. Combinatorica 9 (1989), no. 3, 245--253. 05C35

MR0978172 (89k:68045) Ordman, Edward T. Minimal threshold
separators
and memory requirements for synchronization. SIAM J. Comput.
18 (1989),
no. 1, 152--165. 68Q10 (68R10)

MR1018425 Ordman, Edward T. Byzantine firing squad using a
faulty
external source. Distributed algorithms (Amsterdam, 1987),
76--83,
Lecture Notes in Comput. Sci., 312, Springer, Berlin, 1988.
68M10

MR0975527 (89m:05090) Erdős, Paul; Faudree, Ralph; Ordman,
Edward T.
Clique partitions and clique coverings. Proceedings of the
First Japan
Conference on Graph Theory and Applications (Hakone, 1986).
Discrete
Math. 72 (1988), no. 1-3, 93--101. 05C70

MR0925118 (89c:05050) Faudree, R. J.; Ordman, E. T.; Schelp,
R. H.;
Jacobson, M. S.; Tuza, Zs. Menger's theorem and short paths.
J. Combin.
Math. Combin. Comput. 2 (1987), 235--253. 05C38 (05C40)

MR0888842 (88h:68003) Ordman, Edward T. Fault-tolerant
networks and
graph connectivity. Proceedings of the first Carbondale
combinatorics
conference (Carbondale, Ill., 1986). J. Combin. Math. Combin.
Comput. 1
(1987), 191--205. 68M15 (05C40 68M10 68R10 90B25)

MR0888841 (88g:05103) Ordman, Edward T. Dining philosophers
and graph
covering problems. Proceedings of the first Carbondale
combinatorics
conference (Carbondale, Ill., 1986). J. Combin. Math. Combin.
Comput. 1
(1987), 181--190. 05C70

MR0881175 (88d:05092) Erdős, Paul; Ordman, Edward T.;
Zalcstein,
Yechezkel Bounds on threshold dimension and disjoint threshold
coverings. SIAM J. Algebraic Discrete Methods 8 (1987), no. 2,
151--154. 05C35

MR0830734 (87k:68130) Ordman, Edward T. Threshold coverings
and
resource allocation. Proceedings of the sixteenth Southeastern
international conference on combinatorics, graph theory and
computing
(Boca Raton, Fla., 1985). Congr. Numer. 49 (1985),
99--113. 68R10
(05C99 68N25 90B05)

MR0790923 (86g:05048) Caccetta, Louis; Erdős, Paul; Ordman,
Edward T.;
Pullman, Norman J. The difference between the clique numbers
of a
graph. Ars Combin. 19 (1985), A, 97--106. 05C35 (05C99)

MR1540506 Boas, R. P.; Ordman, Edward T.; Problems and
Solutions:
Solutions of Elementary Problems: E2934. Amer. Math. Monthly
91 (1984),
no. 8, 518. Click
for PDF

MR1539559 Gillman, Leonard; Ordman, Edward T.; Dodge, Clayton
W.;
Problems and Solutions: Solutions of Problems Dedicated to
Emory P.
Starke: S17. Amer. Math. Monthly 87 (1980), no. 9,
822--823. Click for
PDF

MR0565363 (81c:54042) Ordman, Edward T.; Smith-Thomas, Barbara
V.
Sequential conditions and free topological groups. Proc. Amer.
Math.
Soc. 79 (1980), no. 2, 319--326. 54D55 (22A99 54G20) Click for PDF

MR1538963 Ordman, Edward T.; Reviews: Man and His Technology.
Amer.
Math. Monthly 86 (1979), no. 2, 136--137. Click for PDF

MR0519712 (80e:22001) Fay, Temple H.; Ordman, Edward T.;
Thomas,
Barbara V. Smith The free topological group over the
rationals. General
Topology Appl. 10 (1979), no. 1, 33--47. 22A05

MR1538682 Ordman, Edward T.; Problems and Solutions: Solutions
of
Elementary Problems: E2630. Amer. Math. Monthly 85 (1978), no.
4,
278--279.

MR1538251 Robbins, David P.; Ordman, Edward T.; Powell, Barry;
Rosenfeld, Azriel; Klein, Benjamin G.; Garfunkel, Jack;
Problems and
Solutions: Elementary Problems: E2629, E2630-E2634. Amer.
Math. Monthly
84 (1977), no. 1, 57--58.

MR0427525 (55 #557) Ordman, Edward T. Free k-groups and free
topological groups. General Topology and Appl. 5 (1975), no.
3,
205--219. 22A05

MR1537596 Ordman, Edward T.; Reviews: The Nature of Modern
Mathematics.
Amer. Math. Monthly 81 (1974), no. 10, 1129--1130. Click for PDF

MR0374319 (51 #10519) Ordman, Edward T. Free products of
topological
groups with equal uniformities. I, II. Colloq. Math. 31
(1974), 37--43;
ibid. 31 (1974), 45--49. 22A05

MR0364528 (51 #782) Ordman, Edward T.; Morris, Sidney A.
Almost locally
invariant topological groups. J. London Math. Soc. (2) 9
(1974/75),
30--34. 22A05

MR0360912 (50 #13359) Morris, Sidney A.; Ordman, Edward T.;
Thompson,
H. B. The topology of free products of topological groups.
Proceedings
of the Second International Conference on the Theory of Groups
(Australian Nat. Univ., Canberra, 1973), pp. 504--515. Lecture
Notes in
Math., Vol. 372, Springer, Berlin, 1974. 22A05

MR0352320 (50 #4807) Ordman, Edward T. Free products of
topological
groups which are k\omega-spaces. Trans. Amer. Math. Soc. 191
(1974),
61--73. 22A05 Click
for
PDF

MR1537220 Ordman, E. T.; Gibbs, Richard; Stocker, Harold;
Problems and
Solutions: Solutions of Elementary Problems: E2383. Amer.
Math. Monthly
80 (1973), no. 9, 1066.

MR1537081 Ordman, Edward T.; Reviews: Perspectives in
Mathematics //
Mathematics in Civilization // Liberal Arts Mathematics //
Mathematics:
A Humanistic Approach // Readings for Mathematics: A
Humanistic
Approach. Amer. Math. Monthly 80 (1973), no. 5,
568--573. Click for
PDF

MR0332996 (48 #11321) Ordman, Edward T. Factoring a group as
an
amalgamated free product. J. Austral. Math. Soc. 15 (1973),
222--227. 20E30

MR0320216 (47 #8755) Mack, John; Morris, Sidney A.; Ordman,
Edward T.
Free topological groups and the projective dimension of a
locally
compact abelian group. Proc. Amer. Math. Soc. 40 (1973),
303--308. 22A05 Click
for PDF

MR1536865 Kestelman, H.; Just, Erwin; Langford, E. S.; Hughes,
Thomas;
Ordman, E. T.; Gould, H. W.; Problems and Solutions:
Elementary
Problems: E2379-E2384. Amer. Math. Monthly 79 (1972), no. 9,
1033--1034.

MR0357294 (50 #9762) Becker, J. D.; Ordman, E. T. On functions
defined
by iterations of each other. Aequationes Math. 8 (1972),
238--241. 10A20

MR0294141 (45 #3214) Ordman, E. T. Algebraic characterization
of some
classical combinatorial problems. Amer. Math. Monthly 78
(1971),
961--970. 05A05 Click
for
PDF

MR0276355 (43 #2102) Ordman, Edward T. On subgroups of
amalgamated free
products. Proc. Cambridge Philos. Soc. 69 1971
13--23. 20.52

MR0255691 (41 #351) Ordman, Edward T. Subgroups of amalgamated
free
products. Bull. Amer. Math. Soc. 76 1970 358--360. 20.52

MR1533643 Ordman, E. T.; Classroom Notes: Convergence Almost
Everywhere
is Not Topological. Amer. Math. Monthly 73 (1966), no. 2,
182--183. Click for
PDF

MR1533392 Rajagopalan, M.; Wilansky, A.; Ordman, E. T.;
Problems and
Solutions: Solutions of Advanced Problems: 5222. Amer. Math.
Monthly 72
(1965), no. 7, 799--800.

MR0148758 (26 #6264) Fell, Harriet; Newman, Morris; Ordman,
Edward
Tables of genera of groups of linear fractional
transformations. J.
Res. Nat. Bur. Standards Sect. B 67B 1963 61--68. 20.65
(10.21)

One and one is nothing: liberating mathematics (essay),

Soundings 56(1973), 164-181.

Make up your own mazes, Arithmetic Teacher 22(1975), 650-652. Click here for PDF

Meteor: an arcade game using character graphics,

Creative Computing 8(Aug. 1982),
178-80-82-84-85.

Writing transportable basic,

COMPUTE! (Jan. 1983), 36-42, and
(Feb.
1983), 56-62.

Convergence and abstract spaces in
functional
analysis, Journal of Undergraduate Mathematics 1(1969)79-96 and
2(1970)25-36

The impact of computers: a syllabus, in Computers in

Mathematics Education (NCTM 1984 Yearbook), ed. by

V.P. Hansen and M.J. Zweng, pp. 30-34. Click here for PDF

(lifted from other lists, I need to finish checking elsewhere and then format better...)

1. Reviews in Dr. Dobbs, a newsstand computer magazine:

* (Review of) Structured Programming, Theory and Practice, by

Linger, Mills, & Witt, Dr. Dobb's J. of Small Computers

4(Nov. 1979), 61.

* (Review of) Increasing Programmer Productivity through Logic

Development, by G.H. Swann, Dr. Dobbs J. (May 1980)

* (Review of) The Dartmouth Time-Sharing System, by G.M. Bull,

Dr. Dobbs J. (May 1981), 19.

* (Review of) Programming Language Translation, by R.E. Berry,

Dr. Dobb's J. (Sept. 1982), 66-67.

2. (with K.E. Kloss and M. Newman) Class numbers of primes of the

form 4n+1, RMT 10, Math. Comp. 23(1969), 213-214.

3. Tables of the class number for negative prime discriminants,

RMT 29, Math. Comp. 23(1969), 458.

4. What functions generate a price index?(research proposal)

J. Undergrad. Math. 7(1975), 101-104.

5. Kentucky Personal Income Study 1975 (pamphlet), Kentucky

Council of Economic Advisors (Office of Business

Development and Government Services, University of Kentucky,

Lexington, 1976).

6. Air Cargo, An Integrated Systems View. NASA-Langley Research

Center report CR-145384, 1978, 322 pp. (numerous authors:

Alvin Keaton, et al, eds.)

7. Prices and load factors: parts of the air cargo market, Proc.

Tenth Annual Pittsburg Conf. on Modelling and Simulation,

1979, part 2, 407-412.

8. [Committee report] William G. Doty, chairman; Alise F. Carse,

Julie Thompson Klein, Edward Ordman, and Constance D. Ramirez,

Society for Values in Higher Education, Task Force Report on

Interdisciplinary Studies Majors, chapter in report by the

American Association of Colleges Project on Liberal Education,

Study in Depth, and the Arts and Sciences Major, Washington,

D.C., 1990. Reprinted in

Issues in Integrative Studies No.8 (1990), pp 9-33.

9. Letter to Ann Landers, on teaching handicapped students and the

internet, 1997, see http://ordman.net/Edward/reststry.html

This list does not include newspaper essays or items written for

professional society web sites, or a few other categories.

I've lectured alphabetically from Aalborg (Denmark) to Zomba (Malawi) and north - south from Torshavn (Faeroe Islands) to Hobart (Tasmania) as well as in London, Paris, Amsterdam; Budapest, Shanghai, Xi'an, Jinan, Hakone; Toronto, Sydney, Auckland, etc. I've visited departments or companies in Kiev and Odessa, Ukraine, and Delhi, India.

My wife and I are active in Servas, a peace organization encouraging international home-to-home visits. Among other organizations, we have traveled with Elderhostel and Global Volunteers, the Foundation for International Community Assistance and the American Indian College Fund. We've been camp counselors (English tutors) at a children's camp in rural Eastern Poland and visited small colleges on Indian reservations.

We are happy to provide some of our charity-related travel pictures; many have pointers elsewhere on the ordman.net pages.

I migrate between Tennessee and New Hampshire

4045 Graham Oaks Ct., Memphis, TN 38122 phone 901-327-9735

Fax: 267-482-2454 (works at both homes, arrives via e-mail)

E-mail: etordman@memphis.edu
is
equivalent
to
edward@ordman.net
(works
at
both homes)

(Secretary at Dept. of Math Sciences, U of Memphis, 901-678-2482,

generally knows where I am.)

- Synchronization problems, e.g. limitations of semaphores.

- Distributed architecture: converting a large intelligent agent (IDA) into a collection of interacting agents.

- Artificial Life: Building a large artificial life colony with evolution using a complex genome.
- Graph theory motivated by distributed computing.

- Kenyon College, Gambier, Ohio, A.B. 1964
- Ph.D., Princeton Univ., 1969 in Mathematics:

- University of Kentucky: Math Dept, 1969-74; College of Business, 1974-76
- New England College, Henniker, NH, 1977-83
- University of Memphis, Tennessee 1976-77, 1981-82, 1983-2001

- The National Bureau of Standards (now NIST)
- NASA (ASEE Summer Design Fellowship)
- University of Paris (Orsay), Aalborg University Centre,

Hebrew University of Jerusalem

- Industrial consulting

Programming interests: Geneology, Pictorial data
bases,
Computer Games

Rapid Prototyping

A few experiences / interests:

Starting new / isolated
Computer
Science Programs (e.g. Faroe Islands)

Applied econometrics.
Economic
forecasting.

(worked
for Kentucky Council of Economic Advisors)

Rapid prototying /
feasibility
of industrial applications

(Group
insurance,
factory
floor quality control, etc.)

Theology: Lectured at a
divinity
school in East Jerusalem, some others.

The University of Memphis does a very good job with students who have handicaps. I very much like advising students. In late 1997 Ann Landers included a letter about my work with handicapped students. While no one has ever called my mother to mention seeing any of my 40 or 50 professional papers, 15 people called my mother that morning before breakfast. Since then, in my mother's eyes, I am a success. For more about this, click here.

Last Revised: June 2005
minor additions Dec 2013