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Glenn Hurlbert

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School of Mathematical and Statistical Sciences Emeriti
Faculty,
Research Interests

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Publications
  • Glenn Hurlbert. Graph Pebbling. Handbook of Graph Theory (2014).
  • David Herscovici, Benjamin Hester, Glenn Hurlbert. t-Pebbling and Extensions. Graphs and Combin (2013).
  • Victoria Horan, Glenn Hurlbert. Universal cycles for weak orders. SIAM J. Discrete Math (2013).
  • David Herscovici, Benjamin Hester, Glenn Hurlbert. Generalizations of Graham's Pebbling Conjecture. Discrete Math (2012).
  • David Herscovici, Benjamin Hester, Glenn Hurlbert. Optimal Pebbling in Products of Graphs. Australas. J. Combin (2011).
  • Glenn Hurlbert, Vikram Kamat. Erdos-Ko-Rado Theorems for Chordal Graphs and Trees. J. Combin. Theory, Ser. A (2011).
  • Glenn Hurlbert. A Linear Optimization Technique for Graph Pebbling. Preprints of the Centre de Recerca Matematica (2010).
  • Glenn H. Hurlbert. Linear Optimization: The Simplex Workbook. (2010).
  • Dawn Curtis, Taylor Hines, Glenn Hurlbert, Tatiana Moyer. Near-Universal Cycles for Subsets Exist. SIAM J. Discrete Math (2009).
  • Dawn Curtis, Taylor Hines, Glenn Hurlbert, Tatiana Moyer. Pebbling Graphs by their Blocks. Integers (2009).
  • Glenn Hurlbert, Brad Jackson, Brett Stevens. Generalizations of de Bruijn Cycles and Gray Codes (Preface). Discrete Math (2009).
  • Glenn Hurlbert, Brad Jackson, Brett Stevens. Research Problems on Gray Codes and Universal Cycles. Discrete Math (2009).
  • Glenn Hurlbert, Tobias Johnson, Joshua Zahl. On Universal Cycles for Multisets. Discrete Math (2009).
  • Glenn Hurlbert, Vikram Kamat. Two new bijections on lattice paths. J. Combin. Math. Combin. Comput (2009).
  • Glenn Hurlbert, Brad Jackson, Brett Stevens. Proceedings of the Workshop on Generalizations of de Bruijn Cycles and Gray Codes. Discrete Mathematics / Elsevier (2009).
  • A Bekmetjev, Glenn Hurlbert. The pebbling threshold of the square of cliques. Discrete Mathematics (2008).
  • A Czygrinow, Glenn Hurlbert. Girth, pebbling, and grid thresholds. Society of Industrial and Applied Mathematics Journal of Discrete Mathematics (2006).
  • Glenn Hurlbert, B Munyan. Cover pebbling hypercubes. Bulletin of the Institute for Combinatorics and its Applications (2006).
  • B Crull, T Cundiff, P Feldman, Glenn Hurlbert, L Pudwell, Z Szaniszlo, Z Tuza. The cover pebbling number of graphs. Discrete Mathematics (2005).
  • Glenn Hurlbert. Recent progress in graph pebbling. Graph Theory Notes of New Yord (2005).
  • Glenn Hurlbert. Recent progress in graph pebbling. Graph Theory Notes of New York (2005).
  • H Harborth, Glenn Hurlbert. On the number of ones in general binary Pascal triangles. Journal of Combinatorial Mathematics and Combinatorial Computing (2005).
  • S Elledge, Glenn Hurlbert. An application of graph pebbling to zero-sum sequences in abelian groups. Integers: Electronic Journal of Combinatorial Number Theory (2005).
  • R Hochberg, Glenn Hurlbert. Pythagorean quadruples. Applications of Fibonacci Numbers, Kluwer Acad. Publ., Dortrecht, 2004. (Proceedings of the 10th International Conference of the Fibonacci Society) (2004).
  • A Bekmetjev, G Brightwell, A Czygrinow, Glenn Hurlbert. Thresholds for families of multisets, with an application to graph pebbling. Discrete Mathematics (2003).
  • A Czygrinow, Glenn Hurlbert. On the pebbling threshold spectrum. Discussiones Mathematicae (2003).
  • Andrzej Czygrinow, Glenn Hurlbert. Pebbling in dense graphs. Australasian Journal of Combinatorics (2003).
  • Glenn Hurlbert. A cryptographic card trick. Math Horizons (2003).
  • R Hochberg, Glenn Hurlbert. Pythagorean quadruples. Proceedings of the 10th International Conference of the Fibonacci Society (2003).
  • Glenn Hurlbert, Andrzej Czygrinow, Nancy Eaton, P Mark Kayll. On pebbling threshold functions for graph sequences. Discrete Math (2002).
  • Hurlbert, Glenn. On the pebbling threshold spectrum. Electron. Notes Discrete Math (2001).
Research Activity
Fall 2017
Course NumberCourse Title
MAT 792Research
MAT 799Dissertation
Fall 2016
Course NumberCourse Title
MAT 792Research
MAT 799Dissertation
Fall 2015
Course NumberCourse Title
MAT 792Research
MAT 799Dissertation
Fall 2014
Course NumberCourse Title
MAT 792Research
MAT 799Dissertation
Spring 2014
Course NumberCourse Title
MAT 792Research
MAT 799Dissertation
Fall 2013
Course NumberCourse Title
MAT 394Special Topics
MAT 415Introduction to Combinatorics
MAT 512Introduction to Combinatorics
MAT 792Research
MAT 799Dissertation
Presentations
  • Glenn Hurlbert. Graph Pebbling: Complexity. Escuela de Combinatoria del Sur, 2nd Puntana School of Combinatorics (Jul 2013).
  • Glenn Hurlbert. Graph Pebbling: Class 0. Escuela de Combinatoria del Sur, 2nd Puntana School of Combinatorics (Jul 2013).
  • Glenn Hurlbert. Graph Pebbling: Weight Functions. Escuela de Combinatoria del Sur, 2nd Puntana School of Combinatorics (Jul 2013).
  • Glenn Hurlbert. Graph Pebbling: Thresholds. Escuela de Combinatoria del Sur, 2nd Puntana School of Combinatorics (Jul 2013).
  • Glenn Hurlbert. Erdos-Ko-Rado on Graphs and Lattices. 1089th Meeting of the American Mathematical Society (Apr 2013).
  • Glenn Hurlbert. Pebbling in split graphs. Discrete Math Seminar, SoMSS (Apr 2013).
  • Glenn Hurlbert. A Walk in My Woods: From Erdos to Erdos. Virginia Commonwealth University (Mar 2013).
  • Glenn Hurlbert. Graph pebbling: new results and open problems. 36th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (Dec 2012).
  • Glenn Hurlbert. Linear optimization methods for graph pebbling. George Mason University (Oct 2012).
  • Glenn Hurlbert. Linear optimization methods for graph pebbling. Virginia Commonwealth University (Oct 2012).
  • Glenn Hurlbert. Pebbling in split graphs. George Mason University (Oct 2012).
  • Glenn Hurlbert. Graph pebbling: past, present, future. 16th SIAM Conference on Discrete Mathematics (Jun 2012).
  • Glenn Hurlbert. Erdos-Ko-Rado on graphs and lattices. Summer Meeting of the Canadian Mathematical Society (Jun 2012).
  • Glenn Hurlbert. Graph Pebbling I. 43rd Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Mar 2012).
  • Glenn Hurlbert. Graph Pebbling II. 43rd Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Mar 2012).
  • Glenn Hurlbert. Linear Optimization Methods for Graph Pebbling. Reunion Anual de la Union Matematica Argentina (Nov 2011).
  • Glenn Hurlbert. Linear Optimization Methods for Graph Pebbling. Universidad Nacional de San Luis, Argentina (Sep 2011).
  • Glenn Hurlbert. Linear Optimization Methods for Graph Pebbling. Universidad Nacional de Rosario, Argentina (Sep 2011).
  • Glenn Hurlbert. Green Linear Optimization. Joint Mathematics Meetings, Minicourse on Linear Optimization (Jan 2011).
  • Glenn Hurlbert. A Linear Optimization Method for Graph Pebbling. Westchester University (Apr 2010).
  • Glenn Hurlbert. A Linear Optimization Method for Graph Pebbling. Discrete Math Seminar, SoMSS (Apr 2010).
  • Glenn Hurlbert. One Mathematician's Approach to Linear Optimization. Annual Meeting of the Institute for Operations Research and Management Science (Nov 2009).
  • Glenn Hurlbert. Discovering Linear Optimization with Simplex. Annual Meeting of the Institute for Operations Research and Management Science (Nov 2009).
  • Glenn Hurlbert. A Linear Optimization Method for Graph Pebbling. Conference on Numerical Optimization and Applications in Engineering (Oct 2009).
  • Glenn Hurlbert. Jugglematics. ASU Math Club (Oct 2009).
  • Glenn Hurlbert. An Application of Graph Pebbling to Zero Sum Sequences in Abelian Groups. 2nd Canadian Discrete and Algorithmic Mathematics Conference (May 2009).
  • Glenn Hurlbert. Universal Cycles and Magic. Jubilee Conference on Combinatorics (Jan 2009).
  • Glenn Hurlbert. General Graph Pebbling. Jubilee Conference on Combinatorics (Jan 2009).
  • Glenn Hurlbert. Facilitating inquiry-based learning classroom issues with technology. Mathematical Association of America MathFest (Aug 2008).
  • Glenn Hurlbert. Facilitating inquiry-based learning classroom issues with technology. 11th Annual Legacy of R.L. Moore Conference (Jul 2008).
  • Glenn Hurlbert. Near ucycles for subsets exist. 14th SIAM Conference on Discrete Mathematics (Jun 2008).
  • Glenn Hurlbert. On shadows in posets. 1039th Meeting of the AMS, Special Session on Combinatorics of Posets (May 2008).
  • Glenn Hurlbert. Magimatics. Northern Arizona University Honors Week (Apr 2008).
  • Glenn Hurlbert. Extremal sets, probability, and graph pebbling. Northern Arizona University Colloquium (Apr 2008).
  • Glenn Hurlbert. Extremal sets, probability, and graph pebbling. Fresno State University Colloquium (Apr 2008).
  • Glenn Hurlbert. Family Trees. Mathematical and Theoretical Biology Institute: SUMS (Jul 2007).
  • Glenn Hurlbert. My Generation. Mathematical and Theoretical Biology Institute: SUMS (Apr 2007).
  • Glenn Hurlbert. Discovering Linear Optimization. 10th Annual Legacy of R.L. Moore Conference (Apr 2007).
  • Glenn Hurlbert. Linear Optimization: the Simplex Workbook. Joint Math Meetings (Jan 2007).
  • Hurlbert, Glenn. Graph Pebbling. East Carolina University (Oct 2006).
  • Hurlbert, Glenn. Optimal Pebbling II. ASU Graph Pebbling Seminar (Sep 2006).
  • Hurlbert, Glenn. Summer Certification Institute in Secondary Mathematics. MAA MathFest Special Session on Current Issues in Mathematics Education (Aug 2006).
  • Hurlbert, Glenn. Optimal Pebbling I. ASU Graph Pebbling Seminar (Aug 2006).
  • Hurlbert, Glenn. Graph Pebbling. Mathematical Association of America MathFest (Aug 2006).
  • Glenn Hurlbert. Linear Optimization: the Simplex Workbook. Mathematical Association of America MathFest (Aug 2006).
  • Hurlbert, Glenn. Hamiltonian, eulerian, and universal cycles. Mathematical and Theoretical Biology Institute: SUMS (Jun 2006).
  • Hurlbert, Glenn. Three intimately unrelated problems. Mathematical and Theoretical Biology Institute: SUMS (Jun 2006).
  • Hurlbert, Glenn. An application of graph pebbling to zero sum sequences in abelian groups. Annual Joint Math Meetings of the AMS and MAA, Special Session on Group Theory (Jan 2006).
  • Hurlbert, Glenn. Applications of graph pebbling to zero sum sequences in abelian groups. China Japan Joint Conference in Discrete Geometry, Combinatorics and Graph Theory (Nov 2005).
  • Hurlbert, Glenn. Applications of graph pebbling to zero sum sequences in abelian groups. Integers Conference 2005 (Oct 2005).
  • Hurlbert, Glenn. A bijective proof for Catalan numbers. Geometric Combinatorics (Jun 2005).
  • Hurlbert, Glenn. Everything you always wanted to know about graph pebbling but were afraid to ask. Graph Theory Day of New York XLIX (May 2005).
  • Hurlbert, Glenn. Open pebbling problems. 12th SIAM Conference on Discrete Mathematics (Jun 2004).
  • Hurlbert, Glenn. New variations on the theme of graph pebbling: cover pebbling and fractional pebbling. 6th International Joint Meeting of the AMS and the Sociedad Matematica Mexicana (May 2004).
  • Hurlbert, Glenn. Universal cycles and near-universal cycles for subsets. Generalizations of DeBruijn Cycles and Gray Codes
Service
  • Mathematics Club, Advisor (2013 - Present)
  • Mathematics Club, Advisor (2011 - Present)
  • Mathematics Club, Advisor (2010 - Present)
  • Personnel and Budget Committee, member (2007 - Present)
  • Desert Garden Montessori School, Advisory Board Member (2006 - Present)
  • Mathematics Club, Advisor (2006 - Present)
  • Second Arizona Mathematics Undergraduate Conference, Program Committee (2004 - Present)
  • 12th SIAM Conference on Discrete Mathematics, Co-Organizer (with A. Czygrinow) for Minisymposium on Graph Pebbling (2004 - Present)
  • First Arizona Mathematics Undergraduate Conference, Organizer (2004 - Present)
  • Discrete Mathematics, Special Issue, Proceedings of the Banff International Research Station Workshop on Generalizations of de Bruijn Cycles and Gray Codes, Co-Editor (2004 - Present)
  • Discrete Mathematics Graduate Qualifying Exam Committee, Member (2003 - Present)
  • Discrete Mathematics Graduate Qualifying Exam Committee, Member (2003 - Present)
  • Personnel and Budget Committee, Chair (2013 - 2015)
  • Combinatorics Graduate Qualifying Exam Committee, Chair (2013 - 2013)
  • Personnel and Budget Committee, member (2012 - 2013)
  • 10th Southwestern Undergraduate Mathematics Research Conference, Organizing Committee (2012 - 2013)
  • Combinatorics Graduate Qualifying Exam Committee, Chair (2012 - 2012)
  • Involve, Editor (2012 - 2012)
  • Journal of Discrete Mathematics, Editor (2012 - 2012)
  • Electronic Journal of Combinatorics, Referee (2012 - 2012)
  • Involve, Referee (2012 - 2012)
  • Open Journal of Discrete Mathematics, Editor (2011 - 2012)
  • J. Combin. Theory, Ser. A, Referee (2012 - 2012)
  • 16th SIAM Conference on Discrete Mathematics, Organizer (2011 - 2012)
  • Review Committee, Member (2012 - 2012)
  • ASU Night of the Open Door, Speaker (2012 - 2012)
  • 9th Southwestern Undergraduate Mathematics Research Conference, Organizing Committee (2011 - 2012)
  • ASU Math Circle, Speaker (2011 - 2011)
  • 8th Southwestern Undergraduate Mathematics Research Conference, Organizing Committee (2010 - 2011)
  • Joint Mathematics Meetings, Organizeer (2011 - 2011)
  • Faculty Mentor, Yan Yang (2007 - 2010)
  • Desert Garden Montessori School, Advisory Council (2004 - 2010)
  • Hampshire College Summer Scholars Program, Speaker (2010 - 2010)
  • Westwood Summer Scholars Institute in Mathematics, Organizer/Speaker (2010 - 2010)
  • J. Combin. Theory, Ser. A, Referee (2010 - 2010)
  • ASU Collegiate Scholars, Speaker (2010 - 2010)
  • Christ the King Elementary School, Schoolwide Assembly Speaker (2010 - 2010)
  • Desert Garden Montessori School, Mathematics Research Presentation (2010 - 2010)
  • CLAS Grievance Committee, member (2009 - 2010)
  • Graduate Committee, member (2009 - 2010)
  • CLAS Faculty Spotlight, Speaker (2010 - 2010)
  • Finite Mathematics, Mizrahi & Sullivan, Wiley & Sons, Book Review (2010 - 2010)
  • Mathematical Sciences Research Institute, Julia Robinson Festival at ASU, Main Speaker (2010 - 2010)
  • Applid Math. J. China Univ., referee (2009 - 2010)
  • 7th Southwestern Undergraduate Mathematics Research Conference, Organizing Committee (2009 - 2010)
  • 7th Southwestern Undergraduate Mathematics Research Conference, Organizing Committee (2009 - 2010)
  • Desert Garden Montessori School, Elementary Mathematics Workshop (2010 - 2010)
  • Chandler Prep High School, Math Club Speaker (2010 - 2010)
  • Chandler Prep High School, Schoolwide Assembly Speaker (2010 - 2010)
  • SIAM Activity Group - Discrete Mathematics, Officers Nominating Committee (2009 - 2010)
  • Faculty Mentor, Yan Yang (2007 - 2009)
  • Desert Garden Montessori School, Advisory Council (2004 - 2009)
  • Desert Garden Montessori School, Mathematics Research Presentation (2009 - 2009)
  • J. Combin. Theory, Ser. A, Referee (2009 - 2009)
  • Desert Garden Montessori School, Elementary Mathematics Workshop (2009 - 2009)
  • SIAM J. Discrete Math., Referee (2009 - 2009)
  • J. Graph Algorithms and Applications, Referee (2009 - 2009)
  • Discrete Mathematics, Referee (2009 - 2009)
  • American Mathematical Monthly, Referee (2009 - 2009)
  • 2nd SIAM Canadian Discrete Discrete and Algorithmic Mathematics Conference, Organizer (2008 - 2009)
  • Personnel and Budget Committee, member (2007 - 2009)
  • 6th Southwestern Undergraduate Mathematics Research Conference, Organizing Committee (2008 - 2009)
  • Jubilee Conference on Discrete Mathematics, Program Committee (2008 - 2009)
  • Faculty Mentors Committee, Member (2006 - 2006)
  • Colloquium and Mathematics Awareness Committee, Chair (2006 - 2006)
  • Combinatorics Qualifying Exam Committee, Member (2006 - 2006)
  • Journal of Discrete Mathematics, Co-Editor (2006 - 2006)
  • Review Committee, Member (2006 - 2006)
  • ACM-SIAM Symposium on Discrete Algorithms, Referee (2006 - 2006)
  • Journal Order, Referee (2006 - 2006)
  • Journal of Graph Theory, Referee (2006 - 2006)
  • Journal of Discrete Mathematics, Referee (2005 - 2006)
  • Society for Industrial and Applied Mathematics Journal on Discrete Mathematics, Referee (2005 - 2005)
  • Combinatorics Qualifying Exam Committee, Chair (2005 - 2005)
  • Visitor Hiring Committee, Chair (2005 - 2005)
  • Center for Discrete Mathematics and Theoretical Computer Science, Modules Series, Editorial Board Member (2005 - 2005)
  • Third Arizona Mathematics Undergraduate Conference, Program Committee (2005 - 2005)
  • Third Arizona Mathematics Undergraduate Conference Northern Arizona University, Flagstaff, AZ, Organizing Committee (2005 - 2005)
  • Bulletin of the Institute for Combinatorics and its Applications, Referee (2005 - 2005)
  • Electronic Journal of Combinatorics, Referee (2005 - 2005)
  • Arizona Mathematics Undergraduate Conference, Program Director (2003 - 2004)
  • Department of Mathematics and Statistics, Associate Chair (2003 - 2004)
  • General Studies Council, Member (2003 - 2004)
  • Goldwater Scholarship Selection Committee, Member (2003 - 2004)
  • Mathematics and Computer Science Subcommittee of the General Studies Council, Chair (2003 - 2004)
  • Statewide Articulation Taskforce, Member (2003 - 2004)
  • Undergraduate Committee, Chair (2003 - 2004)
  • General Studies Council, (2002 - 2004)
  • General Studies Council, Mathematics Subcommittee, Chair (2002 - 2004)
  • Statewide Articulation Task Force, (2002 - 2004)
  • Discrete Mathematics Ph.D. Qualifying Examination Committee, Member (2004)
  • Journal of Discrete Mathematics, Referee (2004)
  • Journal of Graph Theory, Referee (2004)
  • Society for Industrial and Applied Mathematics Journal on Discrete Mathematics, Referee (2004)
  • 12th SIAM Conference on Discrete Mathematics, Minisymposium on Graph Pebbling, Nashville, TN, Organizer (2004 - 2004)
  • SEE ASU, Participant (2004 - 2004)
  • First Arizona Mathematics Undergraduate Conference, Arizona State University, Tempe, AZ, Conference Director (2004 - 2004)
  • Combinatorics Ph.D. Qualifying Examination Committee, Member (2003)
  • Graph Theory Ph.D. Qualifying Examination Committee, Member (2003)
  • Journal of Order, Referee (2003)
  • Prescott High School Mathematics Club, Invited Speaker (2003)
  • Prescott School District, Workshop Leader (2003)
  • SEE ASU, Participant (2003)
  • Promotion and Budget Committee, Elected Member (2002 - 2002)
  • 13th International Conference on Formal Power Series and Algebraic Combinatorics, Arizona State University, Tempe, AZ, Organizing Committee (2001 - 2001)
  • Academic Standards Committee, (2000 - 2000)