Recent Articles by Greg Frederickson

Using cellular graph embeddings in solving all pairs shortest paths problems.

Journal of Algorithms, Vol. 19, pp 45-85, 1995.

Increasing the weight of minimum spanning trees (with Roberto Solis-Oba).

Proc. 7th ACM-SIAM Symposium on Discrete Algorithms, pp. 539-546,

January 1996.

Searching intervals and compact routing tables.

Algorithmica, Vol. 15, pp 448-466, 1996.

Efficient algorithms for robustness in matroid optimization (with Roberto

Solis-Oba). Proc. 8th ACM-SIAM Symposium on Discrete Algorithms,

pp. 659-668, January 1997.

Ambivalent data structures for dynamic 2-edge-connectivity and k smallest

spanning trees. SIAM Journal on Computing, Vol. 26, pp 484-538, 1997.

A data structure for dynamically maintaining rooted trees.

Journal of Algorithms, Vol. 24, pp 37-65, 1997.

Maintaining regular properties dynamically in k-terminal graphs.

Algorithmica, Vol. 22, pp 330-350, 1998.

Algorithms for measuring perturbability in matroid optimization (with Roberto Solis-Oba).

Combinatorica, Vol. 18, pp. 503-518, 1998.

Increasing the weight of minimum spanning trees (with Roberto Solis-Oba).

Journal of Algorithms, Vol. 33, pp. 244-266, 1999.

Geometric dissections that swing and twist.

Discrete and Computational Geometry, Japanese Conference, JCDCG 2000,

Springer Verlag, LNCS 2098, 2001, pp. 137-148.

Geometric dissections now swing and twist.

Mathematical Intelligencer, Vol. 23, No. 3, pp. 9-20, 2001.

Piano-hinged dissections: Now let's fold.

Discrete and Computational Geometry, Japanese Conference, JCDCG 2002,

Springer Verlag, LNCS 2866, 2003, pp. 159-171.

Hinged dissection of polygons is hard (with Robert A. Hearn and Erik D. Demaine).

Proc. 15th Canadian Conference on Computational Geometry,

Halifax, Canada, pp. 98-102, August 2003.

A new wrinkle on an old folding problem.

College Mathematics Journal Vol. 34, No. 4, (September 2003), pp. 258-263.

Hinged dissection of polyominoes and polyforms (with Erik Demaine, Martin Demaine,

David Eppstein, and Erich Friedman).

Computational Geometry: Theory and Applications,

Vol. 31, No. 3 (June 2005), pp. 237-262.

The manifold beauty of piano-hinged dissections.

Renaissance Banff: Mathematics, Music, Art, Culture,

Alberta, Canada, pp. 1-8, August 2005.

Reflecting well: Dissections of two regular polygons to one.

Mathematics Magazine, Vol. 79, No. 2 (April 2006), pp. 87-95.

Efficient algorithms for robustness in resource allocation and scheduling problems (with Roberto Solis-Oba).

Theoretical Computer Science, Vol. 352, Nos. 1-3 (2006), pp. 250-265.

Unexpected twists in geometric dissections,

Graphs and Combinatorics, Vol. 23[Suppl] (2007), pp. 245-258.

Symmetry and structure in twist-hinged dissections of polygonal rings and polygonal anti-rings.

Proc. Bridges Donostia: Mathematics, Music, Art, Architecture, Culture,

San Sebastian, Spain, pp. 21-28, July 2007.

Approximation algorithms for the traveling repairman and speeding deliveryman problems (with Barry Wittman).

APPROX and RANDOM 2007, LNCS 4627,

Princeton, NJ, pp. 119-133, August 2007.

The heptagon to the square, and other wild twists.

Mathematical Intelligencer, Vol. 29, No. 4, pp. 23-33, 2007.

A tree-covering problem arising in integrity of tree-structured data (with Mikhail J. Atallah and Ashish Kundu).

Information Processing Letters, Vol. 109, No. 1, pp. 79-82, 2008.

Designing a table both swinging and stable.

College Mathematics Journal Vol. 34, No. 4, pp. 258-266, 2008.

On the utility of inference mechanisms (with Ethan Blanton and Sonia Fahmy).

29th IEEE International Conference on Distributed Computing Systems,

Montreal, Quebec, Canada, pp. 256-263, June 2009.

Polishing some visual gems,

Math Horizons, September 2009, pp. 21-25.

Casting light on cube dissections.

Mathematics Magazine, Vol. 82, No. 5 (December 2009), pp. 323-331.

Hugo Hadwiger's influence on geometric dissections with special properties.

Elemente der Mathematik, Vol. 65, No. 4, pp. 154-164, 2010.

On the applicability of network inference mechanisms (with Ethan Blanton, Sonia Fahmy, and Sriharsha Gangam).

IEEE Transactions on Parallel and Distributed Systems, Vol. 22, No. 4, pp. 662-672, 2011.

Folding polyominoes from one level to two.

College Mathematics Journal, Vol. 42, No. 4, pp. 265-274, 2011.

Bracing regular polygons as we race into the future.

College Mathematics Journal, Vol. 43, No. 1, pp. 43-49, 2012.

Also selected for Martin Gardner in the Twenty-First Century, ed. Michael Henle
and Brian Hopkins, Mathematical Association of America, Washington, DC (2012), pp. 11-18.
(Note that my middle initial is erroneously identified as "W" in this book.)

The proof is in the pizza.

Mathematics Magazine, Vol. 85, No. 1, pp. 26-33, 2012.

Approximation algorithms for the traveling repairman and speeding deliveryman problems (with Barry Wittman).

Algorithmica, Vol. 62, Nos. 3-4, pp. 1198-1221, 2012.

My parade of algorithmic mathematical art.

Proc. Bridges Towson 2012: Mathematics, Music, Art, Architecture, Culture,

Towson, Maryland, July 2012, pp. 41-48.

Artfully folding hexagons, dodecagons, and dodecagrams.

Proc. Bridges Enschede 2013: Mathematics, Music, Art, Architecture, Culture,

Enschede, the Netherlands, July 2013, pp. 135-142.

Folding pseudo-stars that are cyclicly hinged.

Proc. Bridges Baltimore 2015: Mathematics, Music, Art, Architecture, Culture,

Baltimore, Maryland, July 2015, pp. 1-8.

Hinged dissections inspired by Ernest Freese's manuscript on geometric dissections.

presentation at MOVES 2015 (Mathematics Of Various Entertaining Subjects),

New York, NY, August 2015.

Hidden in Plane Sight: the Extraordinary Vision of Ernest Irving Freese.

Journal of Applied Mechanics,

Vol. 86, No. 11 (2019), p. 111005 (5 pages).

Hole dissections for planar figures.

accepted for publication in the Mathematical Gazette; scheduled to appear in July 2021. [in book/hole_art.pdf]

Upcoming (?) articles by Greg Frederickson

Enhanced family of arguably minimal dissections of squares.

revised September 2014. [in 3to4/art10/RichSqu.pdf]

Flexing our models: tessellations, transformations, tunnels.

revised September 2014. [in fold/art3/sfspecialy.pdf]

Last updated January 15, 2020.