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Research and Creative Activities of Faculty Members

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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:

  1. 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.

  2. Barwood, H.L. 1997. Pink  and red variscite from Cocke County, Tennessee. Rocks and Minerals 72(4):268-272.

  3. 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:

  1. 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.

  2.  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.

  3. 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. 

  4. 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:

  1.   “Conformal fluctuations of the interior Schwarzschild Solution,” G.K. Menon, General Relativity and Gravitation, Vol. 33, No. 4 (2001).

  2.  “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:

  1. 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).

  2. 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:

  1. 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.

  2. 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:

  1. 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.

  2. Triangle-Free Regular Graphs as an Extremal Family, Ars Combinatoria, To appear.

  3. 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:

  1. Why a Collection of More Than n vectors in Rn is Always Linearly Dependent, Alabama Journal of Mathematics, Fall, 2001.

  2. 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.

 

Recent publications: (see http://math.net.md/voloshin/mypubl.html for details)

  1. L. Milazzo, Zs. Tuza, V. Voloshin. Strict colorings of Steiner triple and quadruple systems: a survey. Discrete Mathematics, 261 (2003), 399-411.

  2. 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.

 

  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.

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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Contact us: Department of Mathematics and Physics
Troy University              
Troy, AL 36082
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Last updated: 09/30/05.