Illya V. Hicks
 
 
Education
PhD and MA in Computational and Applied Mathematics, Rice University, 2000.
BS in Mathematics, Texas State University, 1995.
Experience
Associate Professor of Computational and Applied Mathematics, Rice University (current)

Associate Professor of Industrial and Systems Engineering, Texas A&M University (Fall 2006)

Assistant Professor of Industrial and Systems Engineering, Texas A&M University (Fall 2000 - Spring 2006)

Honors & Awards
2005 Optimization Prize for Young Researchers, Optimization Society, INFORMS
Academic & Research Interest
Branch Decompositions and Tree Decompositions

TSP website offered by my advisor Bill Cook
Operations Research
Graph Theory
Graph Instances
Courses
CAAM 470: Graph Theory

CAAM 474: Combinatorial Optimization
Professional Organizations
Institute for Operations Research and the Management Sciences (INFORMS)                           
 Minority Issues Forum of INFORMS
Mathematical Programming Society (MPS)
National Association of Mathematicians (NAM)
Society for Advancement of Chicanos and Native Americans in Science (SACNAS)
Society for Industrial and Applied Mathematics (SIAM)
Conferences, Graduate Education Programs and Workshops
Rice-Houston Alliance for Graduate Education and the Professoriate
2007 Richard Tapia Celebration of Diversity in Computing Conference
13th Annual Conference for African-American Researchers in the Mathematical Sciences (CAARMS)
2006 Blackwell-Tapia Conference
MIP 2006: Mixed Integer Programming Workshop
NSF Workshop: Development of Minority Faculty in Engineering
CombinaTexas, April 9-10, 2004
MSRI Introductory Workshop in Discrete and Computational Geometry, August 20- 29, 2003
NCI/NSF Workshop on Operations Research and Radiation Therapy, Feb. 7-9, 2002
Papers
1.     Clique Relaxations in Social Network Analysis: The Maximum k-plex Problem, with B. Balasundaram, S. Butenko, and S. Sachdeva (working paper) pdf
2.     The Co-2-plex Polytope and Integral Systems, with B. McClosky (working paper) pdf
3.     Combinatorial Branch-and-Bound for the Maximum Weight Independent Set Problem, with J. Warren (working paper) pdf
4.  Degree-Bounded Vertex Partitions, with B. McClosky (working paper) pdf
5.  Detecting Cohesive Subgraphs, with B. McClosky (working paper) pdf  
6.  Scheduling the Adjuvant Endocrine Therapy for Early Stage Breast Cancer, with S. Kahruman, E. Kolotoglu, and S. Butenko (working paper) 
7.     Composition of Stable Set Polyhedra, with B. McClosky Operations Research Letters (to appear) pdf
8.     New Facets for the Planar Subgraph Polytope, Networks 51(2), 2008, 120-132 pdf
9.  The Branchwidth of Graphs and their Cycle Matroids, with N. McMurray, Journal of Combinatorial Theory Series B 97(5), 2007, 681-692 pdf
10.  On Greedy Construction Heuristics for MAX CUT problem, with S. Kahruman, E. Kolotoğlu*, and S. Butenko, International Journal on Computational Science and Engineering 3(3), 2007, 211-218
11.  Restricted b -factors in Bipartite Graphs and t- designs, with I. Arambula, Journal of Combinatorial Design 14(3), 2006, 169-182 pdf
12.  A Branch-and-Price Approach for the Maximum Weight Independent Set Problem, with J. Warren, D. Warrier, and W. Wilhelm, Networks 46(14), 2005, 198-209 pdf
13.  Graphs, Branchwidth, and Tangles! Oh My!, Networks 45(2), 2005, 55-60 pdf
14.  Planar Branch Decompositions I: The Ratcatcher , INFORMS Journal on Computing 17(4), 2005, 402-412 pdf
15. Planar Branch Decompositions II: The Cycle Method , INFORMS Journal on Computing 17(4), 2005, 413-421 pdf
16. Branch Decompositions and Minor Containment , Networks 43(1), 2004, 1-9 ps Errantum
17. Service Restoration in Naval Shipboard Power Systems, with K. L. Butler- Purry and N. D. R. Sarma , IEE Proceedings Generation, Transmission and Distribution 151(1), 2004, 95-102 pdf
18. Branchwidth Heuristics, Congressus Numerantium 159, 2002, 31-50 ps pdf
19. Optimization Procedures for Simultaneous Road Rehabilitation and Bridge Replacement Decisions in Highway Networks , with A. Garcia-Diaz and M. Bonyuet , Engineering Optimization 34(5), 2002, 445-459
Chapters
·         Branch and Tree Decomposition Techniques for Discrete Optimization, with A. M. C. A. Koster and E. Kolotoglu, to appear in Tutorials in Operations Research: INFORMS--New Orleans 2005, pdf Errantum
Projects
1.     A New Decomposition Approach for a Class of NP-hard Graph Problems , with W. E. Wilhelm, NSF DMI-0217265, $175K, 9/1/2002 -- 8/31/2005, ($24K REU)
2.     Travel Support for Minority Students to Attend INFORMS Annual Meeting; October 24-27, 2004; Denver, CO , NSF DMI-0440785, $4.75K, 9/1/2004 -- 8/31/ 2005
3.     Pathways to the Doctorate Research Assistantship Award 2005 , Texas A&M University, $25K, 9/1/2005 -- 8/31/2007
4.    SGER: Branch Decomposition Techniques for Independence Systems, NSF DMI-0521209, $80K, 8/1/2005 -- 7/31/2006
5.     Travel Support for Minority Students to Attend INFORMS Annual Meeting; November 13-16, 2005; New Orleans, LA, NSF DMI-0537840, $5K, 9/1/2005 -- 8/31/2006
6.    GAAN: Fellowships for Research in Industrial and Systems Engineering, with G.-A. Klutke and S. Cetinkaya, DoEd, Texas A&M, $380K, 9/1/2006 -- 8/31/2009
7.    Innovative Techniques for Constructing Branch Decompositions, NSF DMS-0611723, $95K, 9/1/2006 -- 8/31/2009
8.   BPC-DP:  Academic Mentoring Workshops for Underrepresented Participants, with V. Taylor (Texas A&M) and B. York (Portland St.), NSF CNS-0634272, Texas A&M, $388K,  3/1/2007 -- 2/28/2010
9.     Travel Support for Minority Students to Attend INFORMS Annual Meetings, NSF CMMI-0739996, $19K, 8/1/2007 -- 7/31/2010


Current Doctoral Students
1.      Adewale Faparusi (Texas A&M University), TBA
2.      Elif Kolotoglu (Texas A&M University), “Integer Programming Techniques for the Branchwidth Problem”, Spring 2008
3.      Benjamin McClosky, “Independence Systems and Stable Set Relaxations”, Spring 2008

Past Doctoral Students
1.     Ivette Arambula Mercado, "A New Polyhedral Approach to Combinatorial Designs", Spring 2004 (Texas A&M University), currently works for PROS Revenue Management
2.     Jeffrey Warren, “Independent Set Problems and Odd-Hole-Preserving Graph Reductions”, Spring 2007 (Texas A&M University), currently works for American Airlines

Past MS Students
Jegganathan Balu, MS non-thesis, spring 2004


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    profile
Name: Illya V. Hicks
Status: Married
Hometown: Waco, TX
 
    occupation
Occupation: Associate Professor
School: Computational and Applied Mathematics Department, Rice University
Location: Houston, TX
 
    contact
Computational and Applied Mathematics Department
Rice University
6100 Main St. - MS 134
Houston, TX 77005-1892
(office) 713-348-5667
(fax) 713-348-5318
 
My research interests are in combinatorial optimization, integer programming, graph theory and matroid theory. Some applications of interest are social networks, cancer treatment and network design. My current research is focused on using graph decomposition techniques to solve NP-complete problems. I teach courses related to discrete optimization.