The Strange World of the Hausdorff Metric Geometry

XXII. References

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[2] Christopher Bay, Amber Lembcke, and Steven Schlicker. When Lines go Bad In Hyperspace, Demonstratio Mathematica, Vol. XXXVIII, No. 3, p. 689-701.

[3] Chantel Blackburn, Kris Lund, Steven Schlicker, Patrick Sigmon, and Alex Zupan, Journal of Geometry , (2009), 92,. Numbers 1-2, 28-59.

[4] Chantel Blackburn, Steven Schlicker, and Alex Zupan, Graph Theory Applications of the Hausdorff Metric Geometry, in preparation.

[5] Leonard Blumenthal, Theory and Applications of Distance Geometry, Oxford University Press, 1953.

[6] Agnieszka Bogdewicz, Some Metric Properties of Hyperspaces, Demonstratio Mathematica, XXXIII: 135-149, 2000.

[7] Dominic Braun, John Mayberry, Audrey Powers, and Steven Schlicker, A Singular Introduction to the Hausdorff Metric Geometry, Pi Mu Epsilon Journal, Vol. 12, No. 3, p. 129-138, 2005.

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[12] Thomas Koshy, Fibonacci and Lucas Numbers with Applications, John Wiley & Sons, Inc., New York, 2001.

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[15] J. Mayberry, The Hausdorff Metric, Senior Thesis, University of California, Fullerton, Spring, 2002.

[16] David Montague, Betweenness of Compact Sets, in preparation.

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[21] Bl. Sendov, Hausdorff Geometry of Polynomials, East Journal on Approximations 7 (2001), p. 123-178

[22] Steven Schlicker, Lisa Morales, and Daniel Schultheis, Polygonal chain sequences in the space of compact sets, Journal of Integer Sequences, Vol. 12 (2009), Article 09.1.7.

[23] István Szatmári and Tamás Roska, The CNN Implementation of Wave Type Metric for Image Analysis and Classification, IEEE Int. Workshop on Nonlinear Dynamics of Electronic Systems, Budapest, Hungary, 1998, p. 137-140.

[24] B. Takacs H. Wechsler, Face Identification Using the Hausdorff Metric, 3rd Int. Conf. on Automatic Face and Gesture Recognition, Nara, Japan, 1998.

[25] United States Army Research Office (ARO) Small Business Technology Transfer Proposal, Smooth, Piecewise-Polynomial Terrain Representation Using Nontraditional Metrics, 2004.

[26] Alexander Zupan, Infinite cardinalities in the Hausdorff metric geometry, in preparation.