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Research and Creative
Activities of Faculty Members

The Troy State University
Mathematics faculty members work in various research areas including
Functional Analysis,
Operator Theory, Mathematical Physics, Algorithmic and Abstract Algebra,
Mathematics Education (including the latest in teaching geometry), Graph Theory,
and Combinatorial Design Theory. The Physics faculty members work in areas
including General Relativity and Quantum Mechanics. The Physical Science
faculty members work in areas such as
Optical and luminescent (Ultraviolet and
Cathodoluminescent) microscopy and petrography of minerals and rocks.
Dr. Barwood
Areas:
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Optical and luminescent (Ultraviolet and
Cathodoluminescent) microscopy and petrography of minerals and rocks. |
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Mineralogical examination and
structural determination of mineral species with a specialization in phosphate
minerals. |
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Microscopy of ceramic and refractory
products, cements, clinkers and slag. |
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Determination of deleterious
components in natural aggregates and crushed stone. |
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Paleobotany of the Carboniferous and
mineralogical examination of coal balls. |
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Investigation of silica species in chert,
geodes, silicified fossils and siliceous limestones. |
Recent talks:
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FRIENDS
OF MINERALOGY SOUTHEAST CHAPTERFALL 2002 SYMPOSIUM, The Mineralogist’s Tool
Box: Techniques for Mineral Identification, Saturday, November 9, 2002,
State University of West Georgia, Dept. of Geology, Carrollton, Georgia. |
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I will present a lecture: X-RAY POWDER
DIFFRACTION ANALYSIS AND THE MINERAL COLLECTOR. |
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Barwood, H.L. 2001. Practical aspects of
cathodoluminescence petrography applied to alkali syenite and carbonatite.
Society of Mining Engineers Abstracts and Program:68. |
Recent publications:
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Marty, J, D.G. Howard and H. Barwood.
1999. Minerals of the Utahlite Claim, Lucin, Box Elder County, Utah. Utah
Geological Survey Miscellaneous Publication 99-6. 13 p.
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Barwood, H.L. 1997. Pink and red
variscite from Cocke County, Tennessee. Rocks and Minerals 72(4):268-272.
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Barwood, H.L. and N.R. Shaffer. 2000.
Observations on silicification in geodes from the Mississippian Sanders Group
of Indiana and Kentucky. Geological Society of America Abstracts with
Programs:A310
Areas where Dr. Barwood could
serve as a resource person:
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Spectrographic analysis (ICP, AA)
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Wet chemical analysis (colorimetric,
titrametric) |
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Ion chromatography (IC) |
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Infrared Spectroscopy (FTIR) |
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Sample dissolution and preparation (Borate
fusion, acid digestion) |
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X-ray powder diffraction analysis (XRD)
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X-ray fluorescence (XRF) analysis
(wavelength and energy dispersive) |
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Energy dispersive X-ray fluorescence probe
analysis (EDS, EDAX) |
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Wavelength dispersive X-ray fluorescence
probe analysis (Microprobe) |
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Scanning electron microscopy (SEM),
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Transmission electron microscopy (TEM), |
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Cathodoluminescence microscopy (cold
cathode) |
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Polarized light microscopy (PLM)
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Reflected light microscopy (including
metallography) |
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Petrographic analysis (including optical
particle analysis, asbestos identification, spindle stage) |
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Petrographic staining and sample
etching for contrast enhancement techniques |
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Image analysis (via NIH Image, Photoshop) |
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Preparation of thin and polished
specimens |
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Ceramic, refractory and cement analysis
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Structural analysis of minerals using
powder X-ray diffraction techniques (Reitveld and fundamental parameters)
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Thermal analysis (DTA, DSC, TGA)
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Data analysis |
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Soil testing (Atterburg limits, Bulk
Density, sieve/sedimentation size analysis, soil classification, water
content) Aggregate sampling and testing (deleterious materials, LA wear,
Sulfate Soundness, Freeze-Thaw resistance) |
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Aggregate petrography |
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Cement testing (water/air content, slump
test, compressive strength) |
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Concrete petrography |
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Alkali silicate reaction testing |
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Dr.
Belyi
Areas: Functional Analysis,
Operator Theory, Mathematical Physics
Latest talks given:
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The Krein formula in the spaces with
indefinite metrics, October 10, 2003, talk at the
research seminar, Department of Mathematics and Physics, Troy State
University. |
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On Resolvent Formula for Pseudo-Hermitian
Operators, 79th Annual Meeting of the Alabama Academy of Science,
(2002). |
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MERLOT and College Mathematics, 78th
Annual AACTM Meeting, (2002). |
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Non-Dense Extensions of Krein’s Formula,
Colloquium, University of Texas at El Paso, (2001). |
Recent Publications:
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S.V. Belyi, E.R. Tsekanovskii, On Krein's Formula in Indefinite Metric Spaces, Linear Algebra and Applications, vol. 389 C, (2004), pp. 305-322.
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S.V.
Belyi, G. Menon, E. Tsekanovskii, On Krein’s Formula in the Case of
Non-densely Defined Symmetric Operator, Jour. Of Math. Anal. And Apps.,
vol. 264, no. 2, (2001), pp. 598-616.
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S.V. Belyi, G. Menon, Dirac Particle in a box, and Relativistic Quantum Zeno Dynamics, Physics Letters A, , vol. 330, no. 1-2, (2004), pp. 33-40.
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S.V. Belyi, H.S.V. de Snoo, S. Hassi, E.R.
Tsekanovskii, On Realization of Inverse Stieltjes Functions,
Proceedings of MTNS-2002, (2002).
Seminars/Conferences participated:
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Joint Weekly Seminar on Functional
Analysis and Quantum Mechanics. |
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Annual Meetings of the Alabama Academy of
Sciences. |
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Annual MERLOT meetings. |
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AMS and MAA Joint annual meetings (1996,
1998, 2001). |
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Invited colloquium speaker at the
Indiana-Purdue University, Arizona State University, University of Texas. |
Dr. Elithorp
Areas: Large-Scale Topographic
Mapping, Small-Format Photogrammetry, Geomatics Program Development (Curriculum
and Recruiting)
Latest talks given:
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Spoke to the Greater Birmingham Chapter of
the Alabama Society of Professional Land Surveyors on April 18, 2002 on
horizontal datums at their April meeting in Birmingham, Alabama |
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Spoke to the Board of the Alabama State
Board of Licensure for Professional Engineers and Land Surveyors meeting on
the TSU Cooperative Work Experience Program for Geomatics on April 26, 2002. |
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Spoke to the Greater Birmingham Chapter of
the Alabama Society of Professional Land Surveyors on June 20, 2002 on
vertical datums at their June meeting in Birmingham, Alabama. |
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Represented Mr. Veston Bush, Chairman of
the Alabama State Board of Licensure of Professional Engineers and Land
Surveyors at the August 7, 2002 meeting of the Alabama Geographic Information
Council held in Montgomery, Alabama. |
Recent Publications:
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Presented a paper entitled
“Large-scale Topographic Survey Design” at the 2002 Annual Convention of the
American Congress on Surveying and Mapping held in Washington D.D. in March
2002. |
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Published a senior project conducted by
two TSU Geomatics students under my direction in the ACSM Bulletin: Chancey,
Jon Robert, Elithorp, James A., and Rushing, Cory E., “Field Check of Total
Station Angle Accuracy Using Error Propagation on the Triangle,” ACSM
Bulletin. January/February 2002, pp. 33-36. |
Seminars/Conferences participated:
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“GPS by the Standards of Practice,”
Professional Development Seminar presented at the Fall Convention of the
Alabama Society of Professional Land Surveyors on October 16, 2002.
Three-hour seminar on Rule 1.06 Geodetic Surveys of the Standards of Practice
for Surveying in the State of Alabama. |
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“The Calibrated Total Station,”
Professional Development Seminar presented at the Fall Convention of the
Alabama Society of Professional Land Surveyors on October 18, 2002. Six-hour
seminar on the use of the modern total station instrument for survey
measurements. Emphasis was placed on the effect of the dual axis compensator
on modern survey practice. |
Areas in which Dr. Elithorp is willing to serve as a
resource person or speaker: Geomatics (Surveying and
Mapping), Measurement Science, Spatial Data Analysis and Management.
Mrs. Jenkins
Areas: Algorithmic Algebra and
Abstract Algebra.
Latest talks given:
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Kruskal’s Algorithm vs. Prim’s Algorithm
in finding Minimum-Cost Spanning Trees, summer 2002. |
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Singular Points and Envelopes, Fall 2001. |
Area in which Mrs. Jenkins is willing to serve as a
resource person or speaker: Applied Discrete Mathematics.
Dr. Menon
Areas: General Relativity, Quantum
Mechanics, Functional Analysis.
Latest talks given:
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Give an invited talk at the University of
Alabama on: Conformal Fluctuations of the Interior Schwarzschild solution,
January 26, 2002. |
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Paper presentations (Alabama Academy of
Science): Gravitational Waves from a Dilatonic Black Hole. |
Recent Publications:
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“Conformal
fluctuations of the interior Schwarzschild Solution,” G.K. Menon, General
Relativity and Gravitation, Vol. 33, No. 4 (2001).
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“On
Krein’s Formula in the Case of Non-densely Defined Symmetric Operator,” S.V.
Belyi, G. Menon, E. Tsekanovskii, Journal of Analysis and Applications.
Dr.
Podder
Areas:
Plasma Physics,
Spectroscopy, Shock Physics
Latest talks given:
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Microwave and
laser generated plasma properties for shock wave drag reduction,
Department of Physics, Florida A&M University, Tallahassee,
FL, July 2003. |
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Laser induced fluorescence
diagnostic for plasma turbulence,
Department of Physics, New
Mexico
Tech, Socorro,
NM, April 2003. |
Recent Publications:
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N. K.
Podder, J.
A. Johnson III, and E.-D. Mezonlin, Turbulent microwave plasma
thermodynamics for fundamental fluctuation modes, Physics of Plasmas
9,
3364
(2002).
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J. A. Johnson III, N. K.
Podder, E.-D. Mezonlin, and R. A. Appartaim,
Turbulent microwave
generated plasmas for investigation of hypersonic drag mechanisms,
AIAA
Paper 2002-5122 (2002).
Areas in which Dr.
Podder is willing to serve as a
resource person or speaker: Plasmas, Lasers, Visible
ultraviolet and x-ray spectroscopy, computer programming in Mathematica and C,
Laboratory equipment (oscilloscope, CCD camera, Spectrometer, etc.)
Mrs. Porter
Area: Mathematics Education.
Latest talk given:
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“Discovering Learning in Trigonometry with
the TI-83,” Alabama Council of Teachers of Mathematics. |
Seminars/Conferences participated:
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Alabama Association of College Teachers of
Mathematics. |
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Alabama Council of Teachers of
Mathematics. |
Area in which Mrs. Porter is willing to serve as a
resource person or speaker: Mathematics Education.
Mrs. Pullen
Area: Teaching
mathematics—especially latest in teaching geometry.
Latest talk given:
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Using Geometer Sketchpad. |
Seminars/Conferences participated:
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Alabama Conference for Teachers of
Mathematics. |
Area in which Mrs. Pullen is willing to serve as a
resource person or speaker: Teaching methods for
mathematics.
Dr. Ramroop
Latest talks given:
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Use of metadata in a
directory system to support GIS integration. |
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Introduction to metadata, Presented at the
11th Annual Colloquium of the Spatial Information Research Center,
University of Otago, New Zealand. |
Recent publications:
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Ramroop, S., (2001) “Use of LDAP and CORBA
to partially implement the OGIS Discovery Service,” International Journal of
Geographical Information Science, Number 4, Vol. 15, p. 391-413.
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Ramroop, S., and Pascor, R.T. (2000), “Use
of spatial metadata in a LDAP/CORBA architecture,” 12th Annual
Colloquium of the Spatial Information Research Center, University of Otago,
New Zealand.
Seminars/Conferences participated:
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Governor’s first GIS conference,
Tuscaloosa, Alabama (August 2002). |
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Alabama Society of Professional Land
Surveyors (ASPLS) 36th Annual Surveying and Mapping Conference
(October 2002). |
Areas in which Dr. Ramroop is willing to serve as a
resource person or speaker: Geographic Information Systems,
Geomatics, Traveling and cultural differences.
Dr. Roblee
Areas: Primary research areas are
Graph Theory and Combinatorial Design Theory. Secondary area is Topology.
Latest talks given:
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More Extremal Graphs for a
Maximum-Joint-Neighborhood, Average-Triangles-Per-Edge Inequality,
Southeastern International Conference on Combinatorics and Graph Theory, March
1999. |
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A Characterization of an Extremal Family
of Triangle-Free Graphs, Midwest Conference on Combinatorics, Cryptography,
and Computing, October 1999. |
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The Structure of Certain Families of
Regular Graphs, invited speaker at the Department of Mathematics colloquium at
the University of Dayton, October 2000. |
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Triangle-Free Regular Graphs as an
Extremal Family, The MIGHTY Conference, October 2001. |
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The Classification of Surfaces, at the
Topology and Abstract Analysis Seminar at Youngstown State University, April
2002. |
Recent publications:
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More Extremal Graphs for a
Maximum-Joint-Neighborhood, Average-Triangles-Per-Edge Inequality (with P.D.
Johnson), Congressus Numerantium, Vol. 140 (1999), p. 87-95.
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Triangle-Free Regular Graphs as an
Extremal Family, Ars Combinatoria, To appear.
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On an Extremal Subfamily of an Extremal
Family of Nearly Strongly Regular Graphs (with P.D. Johnson), Australasian
Journal of Combinatorics Vol. 25 (2002), p. 279.
Seminars/Conferences participated:
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Ohio Project NEXT, Fall 2000 and Spring
2001, at Wittenberg University and Bowling Green State University,
respectively. |
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Weekly Abstract Analysis and
Topology Seminar at Youngstown State University, 2000-02. |
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Weekly Discrete Mathematics Seminar at
Auburn University, 1998-99. |
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Mathematical Training Sessions for Local
Middle School and High School Students on Saturdays at Youngstown State
University, 2000-02. |
Dr. Rossi
Latest talks given:
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Electronic Spreadsheets as a Research
Tool, Alabama Association of College Teachers of
Mathematics (Annual Meeting), Birmingham Southern College, February 16, 2002. |
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Making Non-Trivial Use of DERIVE
in Teaching Infinite Series, Mathematical Association of America (MAA)-Mathfest,
Atlanta, Georgia, August 8, 1997. |
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Making Non-Trivial Use of
Computer Software in a Beginning Calculus Course, MAA-Mathfest, Atlanta,
Georgia, August 7, 1997. |
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Linear Algebra Using MATLAB-Some
Sample Assignments, Southeastern Section of the MAA-Annual Meeting,
Spelman College, March 14, 1997. |
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Examples of Non-Trivial Uses of
Technology in Teaching Linear Algebra, Alabama Association of College
Teachers of Mathematics (Annual Meeting), University of Mobile, February 22,
1997. |
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Matrix Inverses and Linear
Independence-Making the Mysterious Obvious, American Mathematical
Society/Mathematical Association of America-Annual Joint Meeting, San Diego,
California, January 9, 1997. |
Recent publications:
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Why a Collection of More Than n vectors
in Rn is Always Linearly Dependent,
Alabama Journal of Mathematics, Fall, 2001.
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The Use of Well-Designed Numerical
Exercises in Calculus, Alabama Journal of Mathematics, Fall, 1999.
Dr.
Voloshin
Areas: Graphs and Hypergraphs.
Coloring Theory.
Latest talks given:
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Coloring Mixed Hypergraphs: introduction.
November 13, 2003. Department
of Discrete and Statistical Sciences, Auburn University (invited talk). |
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Coloring Mixed Hypergraphs: results and
open problems. October 3, 2003.
International Symposium on Graphs, Designs and Applications, Messina, Italy
(invited talk). |
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August 26, September 2, 2003, talk at the
research seminar, Department of
Mathematics and Physics, Troy State University: Introduction to Mixed
Hypergraph Coloring.
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Recent publications:
(see
http://math.net.md/voloshin/mypubl.html for details)
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L. Milazzo, Zs. Tuza, V. Voloshin.
Strict colorings of Steiner triple and quadruple systems: a survey.
Discrete Mathematics, 261 (2003), 399-411.
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V.I. Voloshin. Coloring Mixed Hypergraphs: theory, algorithms and
applications. AMS, Providence, 2002.
Seminars/Conferences participated:
(see
http://math.net.md/voloshin/activity.html for details):
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November 13, 2003, research seminar of the
Department of Discrete and
Statistical Sciences, Auburn University. |
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September 30 - October 4, 2003,
ISGDA2003, International Symposium on
Graphs, Designs and Applications, Messina, Italy.
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Areas in which Dr. Voloshin is willing to serve as a
resource person or speaker:
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Graphs, combinatorics and optimization:
coloring of mixed hypergraphs
(uncolorable, uniquely colorable, co-perfect, interval, pseudo-chordal mixed
hypergraphs), perfect graphs, chordal graphs and hypergraphs, hypertrees,
transversals, matchings
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Algorithms,
complexity and related data structures and software
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Applications of
graphs and hypergraphs in Computer Science and other areas.
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Everybody is invited to visit my web site at
http://math.net.md/voloshin for
further details.
Dr.
Zhang
Areas:
algorithm
development, analysis, and implementation
with applications in a wide areas from computer science, mathematics,
finance, etc.
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