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Edward T. Ordman

(Academic page)

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

  A few of my publications
  Some Places I've been
  Contact Information
  Current Projects
  Biographical Information
  Some Other Interests
  Something my mother noticed\

    Top of Page

      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.; Gyrfs, 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)

Some items that are mathematics or computer science but not in Math Reviews (not a complete list, I'll get there sometime.)

    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

  [from] Case studies: Some Mathematicians with Nonacademic Employment, Notice Amer. Math. Soc. 22(1975)100-102  Click here for PDF

   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.
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    Some Places I've been

I like to travel. I like people rather than buildings or other tourist attractions. So if I can go give a lecture or visit other mathematicians or computer people or people with an interest in peace issues or in theology, I do so.

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.

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    Contact Information

I migrate between Tennessee and New Hampshire

132 Everett Park,  New London, NH 03257, phone 603-526-6428
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.)

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    Most Recent Projects

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    Biographical Information

          Amalgamated Free Products of Groupoids (work mainly done at Berkeley)             Visiting and summer positions have included               University of New South Wales, Academy of the Faeroes,
              Hebrew University of Jerusalem
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  Some Other Interests

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.

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Something my mother noticed

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.

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Last Revised: June 2005  minor additions Dec 2013