Dept. of Mathematics and Applied Mathematics, University of Crete, 714 09 Iraklio, GREECE
TEL +30 2810360615 (home), +30 2810393834 (office) FAX +30 2810393881
E-mail: kolount AT gmail.com

On the WWW at: http://mk.eigen-space.org
(where all publications can be found online)

January 2018


Born on 30 May 1966 in Iraklio (Heraklion), Greece. Married to Maria Loukaki. One son (Nikos) and one daughter (Ioanna).



8/2006 - present Univ. of Crete Professor
2013 - 2015 Univ. of Crete Professor and Chair of the Department
1/2007 - 5/2007 Georgia Inst. of Technology Visiting Professor
6/2000 - 7/2006 Univ. of Crete Associate Professor
8/2004 - 5/2005 Georgia Inst. of Technology Visiting Associate Professor
10/1999 - 5/2000 Univ. of Crete Visiting Associate Professor
12/1998 - 10/1999 Hellenic Air Force Military service
Fall 1998-99 Univ. of Illinois at Urbana-Champaign Visiting Assistant Professor
1997-1998 Univ. of Crete Visiting Assistant Professor
1996-1997 Univ. of Illinois at Urbana-Champaign Visiting Assistant Professor
1994-1996 School of Math., Inst. for Advanced Study, Princeton NJ Member
1989-1994 Stanford Univ. Ph.D. in Math. (advisor P.J. Cohen)
1989-1991 Stanford Univ. MSc in Mathematics
1988-1989 Univ. of Crete Graduate student in the Math. Dept.
1984-1988 Univ. of Crete B.Sc. in Computer Science


  1. Harmonic Analysis and its Applications
    Applications of harmonic analysis to geometric and number-theoretic problems Extremal problems concerning trigonometric polynomials and positive definite functions Bases consisting of complex exponentials (orthogonal bases, Riesz bases, frames)
  2. Additive Number Theory
    Density of sets and of additive bases Sum-free sets Additive complements Effective algorithms in Number Theory.
  3. Applications of Probability Theory
    Mostly to Harmonic Analysis and Number Theory Turning probabilistic (existential) arguments into efficient algorithms.
  4. Theoretical Computer Science

PhD Thesis (June 1994; advisor P.J. Cohen)



University of Crete:
5 semesters (4 hrs/week recitation sessions + office hours). Calculus and Linear Algebra.
4 semesters Programming (in C, Fortran, Python) (undergraduate)
1 semester Harmonic Analysis (undergraduate)
2 semesters Approximation Theory (undergraduate)
2 semesters Real Analysis (undergraduate)
2 semesters Complex Analysis (undergraduate)
3 semesters Discrete Mathematics (undergraduate)
4 semesters The Problem Seminar (undergraduate)
1 semester Group Theory (undergraduate)
1 semester Introduction to Computing (undergraduate)
3 semesters Probability Theory (undergraduate)
2 semesters Formal Languages and Introduction to Computability (undergraduate)
1 semester Stochastic Processes (undergraduate)
1 semester Multivariable Calculus for the Dept of Materials Science (undergraduate)
3 semesters Measure Theory (graduate)
2 semesters Stochastic Processes (graduate)
1 semester Randomized Algorithms (graduate)
3 semesters Probability Theory (graduate)

Stanford University:
5 quarters (4 hrs/week in class + office hours). Calculus.

Univ. of Illinois:
2 semesters of Linear Algebra (MATH 315-for 3rd and 4th year students),
1 semester of Combinatorial Mathematics (MATH/CS 313-3rd year students to beginning graduate students),
1 semester of Multivariable Calculus,
1 semester of Introduction to Real Analysis.

Georgia Inst. of Technology:
3 semesters of Multivariable Calculus.


Nikos Andrianos, Master's Thesis (Fall 2010-11), on The hydrogen atom.

Nikos Chatzikostantinou, diploma thesis (Spring 2013-14) on Entropy methods in Combinatorics.

Anastasios Hondros, Master's Thesis (Spring 2008-09), on Probabilistic methods in combinatorics and number theory.

Dimitris Kalopsikakis, diploma thesis on The Probabilistic Method, (Spring 2015-16).

Nikos Konstantinidis, diploma thesis on The use of generating functions and asymptotic enumeration in th study of evolution of RNA structures. (Fall 2012-13)

Ioannis Konstantoulas, diploma thesis on Random matrices: determinant and invertibility. (Spring 2007-08), and Master's Thesis (Spring 2008-09) on Tilings.

Panagiotis Mavroudis, PhD student. Graduated March 2014.

Costas Rabalakos, Master's thesis on Quantum Computation. (Spring 2003-04)

Maria Reppa, diploma thesis on Network flow. (Spring 2003-04)

Konstantinos Seretis, diploma thesis on Linear Programming and Duality, (Fall 2016-17).

Vangelis Xyloyannis, Master's Thesis (Summer 2008-09), on Linear algebra methods in combinatorics.


I have spoken (or presently will speak) at the following conferences/workshops:

  1. Workshop on Emerging Applications of Probability, IMA, Minneapolis, MN, September 1993 (contributed talk).
  2. Special Session on Harmonic Analysis, 886th AMS meeting, College Station, TX, October 1993 (invited).
  3. Symposium On Discrete Algorithms (SODA), Washington DC, January 1994 (refereed conference).
  4. Workshop in Additive and Combinatorial Number Theory, CUNY, March 1995 (invited).
  5. Int. Conf. Analytic Number Theory, Univ. Illinois Urbana-Champaign, May 1995 (invited).
  6. Harmonic Analysis from the Pichorides Viewpoint, Univ. of Crete, Greece, July 1995 (invited).
  7. DIMACS workshop on Combinatorial Number Theory, February 1996 (invited).
  8. Illinois Number Theory Conference, April 1997 (one of four invited lectures).
  9. Workshop on the interface of Probability and Number Theory, May 2000, Univ. of Illinois (invited).
  10. Workshop on Applied Mathematics, July 2000, Univ. of Crete, Greece.
  11. Euroconference on Discrete and Algorithmic Geometry, August 2000, Anogia, Crete, Greece.
  12. Hellenic conference on Mathematical Analysis, October 2000, Xanthi, Greece.
  13. Rajchman-Zygmund-Marcinkiewicz Symposium, October 2000, Bedlewo, Poland.
  14. Second Göteborg Conference in Harmonic Analysis and Partial Differential Equations, Göteborg, Sweden, June 2001.
  15. Workshop on Fourier Analysis and Convexity (invited mini-course), June 2001, University of Milano-Bicocca.
  16. Workshop on Periodicity and Quasi-periodicity, June 2002, Renyi Institute, Budapest (invited).
  17. Combinatorial and Number-Theoretic Methods in Harmonic Analysis, Spring 2003, Erwin Schrödinger Institute, Vienna (invited).
  18. Théorie des Nombres et Probabilités, November 2003, CIRM, Marseille (invited).
  19. Special program in Harmonic Analysis, April-July 2004, Centro de Giorgi, Pisa (invited).
  20. 7th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Madrid (Spain), June 21-25, 2004 (invited).
  21. Workshop in Real Analysis, Harmonic Analysis and Applications to PDE, Oberwolfach, Germany, July 3-9, 2005 (invited).
  22. 3rd Meeting for Young Researchers in Analysis, Karlovasi, Samos, Greece, September 16-18, 2005 (invited).
  23. Interface entre l'analyse harmonique et la theorie des nombres, 17-21 October, 2005, CIRM, Marseille (invited).
  24. Complex and Harmonic Analysis: an international conference, Thessaloniki, Greece, May 25 - 27, 2006 (invited).
  25. Analysis, Number Theory and Logic: Honoring Paul Cohen on his 72nd birthday, Stanford University, September 14-17, 2006 (invited).
  26. Illinois Number Theory Fest, Univ. of Illinois at Urbana-Champaign, May 16-20, 2007.
  27. Second Workshop on Extremal Problems in Fourier Analysis, Renyi Institute, Budapest, 18-23 September 2007 (invited).
  28. Problems in Analysis 2007, Iraklio, Crete, Greece, October 5-7, 2007 (organizer).
  29. Analytical and Combinatorial Methods in Number Theory and Geometry 2007, Iraklio, Crete, Greece, October 22-26, 2007 (organizer).
  30. Clay-Fields Conference on Additive Combinatorics, Number Theory, and Harmonic Analysis, Fields Institute, Toronto, April 5-13, 2008 (invited).
  31. 12th Panhellenic Conference in Mathematical Analysis, Univ. of Athens, May 15-17, 2008 (plenary talk).
  32. Problems in Analysis 2008, Samos, Greece, September 26-29, 2008.
  33. Harmonic Analysis in Samos, 22-25 September 2009, Univ. of the Aegean, Karlovassi, Samos, Greece (plenary talk).
I have given talks at the following departments:
  1. Aristotle University of Thessaloniki, Greece
  2. Caltech, USA
  3. Cornell Univ., USA
  4. CUNY, New York Number Theory Seminar, USA
  5. Erwin Schrödinger Institute, Austria
  6. Georgetown Univ., USA
  7. Georgia Institute of Technology, USA
  8. IBM Almaden Research Center, Computer Science, Theory Group, USA
  9. Lehigh Univ., USA
  10. National Technical Univ. of Athens, Greece
  11. Oklahoma State Univ., USA
  12. Renyi Institute, Hungary
  13. Princeton University, USA
  14. Scuola Normale Superiore, Pisa, Italy
  15. Stanford Univ., USA
  16. Technical Univ. of Crete, Greece
  17. Technische Univ. Berlin, Germany
  18. Texas A&M Univ., USA
  19. Univ. Autonoma de Madrid, Spain
  20. Univ. of Athens, Greece
  21. Univ. of the Aegean, Greece
  22. Univ. of Crete, Greece
  23. Univ. of Georgia, Athens, GA, USA
  24. Univ. of Illinois U-C, USA
  25. Univ. Illinois at Chicago, USA
  26. Univ. di Milano-Bicocca, Italy
  27. Univ. Missouri, Columbia, USA
  28. Univ. of Texas at Austin, USA
  29. Univ. of Toronto, Canada
  30. Univ. California Riverside, USA
  31. Univ. Maryland College Park, USA
  32. Univ. of Warwick, UK
  33. Univ. of Wisconsin-Madison, USA
  34. University College London, UK


I have co-organized the following meetings:

  1. Frame theory and exponential bases, ICERM, June 4-8, 2018.
  2. Analysis Days, Heraklion, Crete, May 24-25, 2017.
  3. 15th Panehellenic Conference on Mathematical Analysis, Heraklion, Crete, May 27-29, 2016.
  4. Complex and Harmonic Analysis 2009, Archanes, Crete, 3-5 September 2009.
  5. Analytical and Combinatorial Methods in Number Theory and Geometry 2007, Crete, October 2007.
  6. Problems in Analysis 2007, Crete, October 2007.
  7. Harmonic Analysis and Related Problems 2006 - HARP 2006, Crete, June 2006.
  8. Two day meeting ``Complex and Harmonic Analysis'', Crete, May 2002.
  9. Two days of talks in Analysis for young researchers, Crete, September 2001.
  10. Two days of talks in analysis, Crete, June 2000.


I have organized (alone or with others) the following semester-long seminars:

  1. Percolation and Disordered Systems, Crete, Spring 99-00.
  2. Fourier Analysis Seminar, Crete, Spring 00-01.
  3. Results in Theoretical Computer Science, Crete, Spring 01-02.


  1. Hong Kong Univ. of Science and Technology (July-August 2016)
  2. Caltech (May-June 1997, November 1998)
  3. Renyi Institute (June 2002, July 2003)
  4. Univ. di Milano-Bicocca (June 2001, October 2002)
  5. Georgia Inst. of Technology (August 2004-May 2005)
  6. Georgia Inst. of Technology (January 2007-May 2007)
  7. Univ. of Rochester (June 2011-August 2011)


  1. Univ. of Crete (2017): Exponential bases and related problems.
  2. ``Aristeia II'': Greek Government Research Grant, 2014-2015.
  3. Univ. of Crete (2007), Applications of Fourier Analysis to problems of discrete geometry.
  4. INTAS 03-51-5070 (2004), Analytical and Combinatorial Methods in Number Theory and Geometry.
  5. European Union Research Training Network HARP (Harmonic Analysis and Related Problems). July 2002 - July 2006.
  6. INTAS Call 99 OPEN-1080 (Function spaces and harmonic analysis). June 2000-June 2002
  7. National Science Foundation (USA) DMS 97-05775 (A Harmonic Analysis approach to problems of tiling). May 1997-December 1998

REVIEWER for the Mathematical Reviews and the Zentralblatt für die Mathematik.

REFEREE for the following journals:

  1. Acta Arith.
  2. Amer. J. Math.
  3. Computer J.
  4. Electr. J. Comb.
  5. Eur. J. Comb.
  6. Geometric and Functional Analysis
  7. Graphs and Combinatorics
  8. IEEE Trans. Pattern Anal. Mach. Intel..
  9. IMRN
  10. Intern. J. Number Theory
  11. Inf. Proc. Letters
  12. J. AMS
  13. J. Fourier Anal. Appl.
  14. Bulletin/Proceedings/Journal of the London Math. Society
  15. J. Math. Anal. Appl.
  16. J. Number Th.
  17. Math. Res. Letters
  18. Math. Zeitschrift
  19. Online J. Analytic Combinatorics
  20. Proc. AMS
  21. Real Analysis Exchange
  22. Studia Math.
  23. Theoretical Computer Science
  24. Trans. AMS


  1. (1997-2002) System administration for many Unix systems of the Department of Mathematics, U. of Crete.
  2. (December 1991) Worked for Failure Analysis Associates of Menlo Park, CA. Developed user interface for a program that computes the motion of a fluid under the surface of the earth.
  3. (Summer 1991) Research Assistant, Center for Integrated Systems, Stanford University (Prof. M. Lam).
    Worked on parallel programming language JADE. Developed a parallel Finite Element code.
  4. (1990-92) Center for Integrated Facility Engineering (CIFE), Stanford University (Prof. R. Levitt).
    Developed CIFECAD, a system for the design of structures in 3D using predefined elements.
    Developed educational software for Civil Eng. class on estimation.
  5. (1986-89)and (1997-present) Horodomi, Iraklion, Greece.
    Development of of Finite Element code for static analysis of 3D structures.
  6. (1986-88) Image Analysis Laboratory, Department of Comp. Sci., University of Crete.
    Mostly parallelization of algorithms for Image Processing. (See two earliest publications.)


Editor-in-chief for the Bulletin of the Hellenic Mathematical Society.

Editor for the Online Journal of Analytic Combinatorics.

Editor for Analysis Mathematica.


A very competent computer programmer and an amateur system administrator (Unix).

Fair knowledge of French and German (besides Greek and English).


Submitted for publication

  1. Alex Iosevich, M.N.K., Yurii Lyubarskii, Azita Mayeli and Jonathan Pakianathan, On Gabor orthonormal bases over finite prime fields,
  2. M.N.K. and Yang Wang, The structure of multiplicative tilings of the real line,
  3. Elona Agora, Jorge Antezana and M.N.K., Tiling functions and Gabor orthonormal bases,

Accepted for publication

  1. Elona Agora, Sigrid Grepstad and M.N.K., Spectra for cubes in products of finite cyclic groups,
    Proc. AMS, 146 (2018), 6, 2417-–2423.
  2. M.N.K. and Michael Papadimitrakis, Measurable Steinhaus sets do not exist for finite sets or the integers in the plane,
    Bulletin LMS, to appear.
  3. Romanos Malikiosis and M.N.K., Fuglede's conjecture on cyclic groups of order ,
    Discrete Analysis, to appear.
  4. M.N.K., Máté Matolcsi and Mihály Weiner, An application of positive definite functions to the problem of MUBs,
    Proc. AMS, 146 (2018) 3, 1143-–1150.
  5. Agelos Georgakopoulos and M.N.K., On particles in equilibrium on the real line,
    Proc. A.M.S., to appear.


  1. M.N.K., Packing near the tiling density and exponential bases for product domains,
    Bull. Hellenic Math. Soc. 60 (2016), 97-109.
  2. M.N.K., Discrepancy of line segments for general lattice checkerboards,
    Anal. Math. 42 (2016), 1, 31–41.
  3. M.N.K. and Nir Lev, On non-periodic tilings of the real line by a function,
    Int. Math. Res. Not. 15 (2016), 4588–4601.
  4. M.N.K., Fourier pairs of discrete support with little structure,
    J. Fourier Anal. Appl. 22 (2016), 1, 1-5.
  5. M.N.K., Multiple lattice tiles and Riesz bases of exponentials,
    Proc. Amer. Math. Soc. 143 (2015), 741-747.
  6. Nick Gravin, M.N.K., Sinai Robins and Dmitry Shiryaev, Structure results for multiple tilings in 3D,
    Discrete & Computational Geometry, December 2013, Volume 50, Issue 4, pp 1033-1050.
  7. M.N.K. and Yannis Parissis, Circle discrepancy for checkerboard measures,
    Illinois J. Math., Volume 56, Number 4 (2012), 1297-1312.
  8. Alex Iosevich and M.N.K., Periodicity of the spectrum in dimension one,
    Analysis & PDE 6-4 (2013), 819-827.
  9. Alex Iosevich and M.N.K., Size of orthogonal sets of exponentials for the disk,
    Rev. Mat. Iberoamericana, 29 (2013), 739-747.
  10. M.N.K., Periodicity of the spectrum of a finite union of intervals,
    J. Fourier Anal. Appl., 18 (2012), 1, 21-26.
  11. Charalambos Tsourakakis, M.N.K. and Gary L. Miller, Triangle Sparsifiers,
    J. of Graph Algorithms and Appl., 15 (2011), no 6, pp. 702726.
  12. M.N.K., G. Miller, R. Peng and C. Tsourakakis, Efficient Triangle Counting in Large Graphs via Degree-Based Vertex Partitioning,
    in Algorithms and Models for the Web-Graph, Lecture Notes in Comp. Sci. 6516 (2010), 15-24, Springer, Berlin, and in
    Internet Mathematics, 8.1-2 (2012), 161-185.
  13. M.N.K. and Mate Matolcsi, Tilings by translation,
    La Gaceta de la Real Sociedad Espanola, 13 (2010), 4.
  14. Alex Iosevich and M.N.K., The discrepancy of a needle on a checkerboard, II,
    Uniform Distribution Theory, 5 (2010), 2, 1-13.
  15. M.N.K. and Maté Matolcsi, Algorithms for translational tiling,
    J. of Math. and Music, 3 (2009), 2, 85-97.
  16. M.N.K., Richard Lipton, Vangelis Markakis, Aranyak Mehta and Nisheeth Vishnoi, On the Fourier spectrum of symmetric boolean functions,
    Combinatorica, 29 (2009), 3, 363-387.
  17. M.N.K., The discrepancy of a needle on a checkerboard,
    Online J. Analytic Combinatorics, 3 (2008), #7.
  18. Alex Iosevich, M.N.K. and Maté Matolcsi, Covering the plane by rotations of a lattice arrangement of disks,
    ``Complex and Harmonic Analysis'', Proceedings of the International Conference May 25-27, 2006, Aristotle University of Thessaloniki. Destech Publications, Inc.
  19. A. Iosevich and M.N.K., A Weyl type formula for Fourier spectra and frames,
    Proc. AMS 134 (2006), 11, 3267-3274.
  20. M.N.K. and M. Matolcsi, Tiles with no spectra,
    Forum Math. 18 (2006), 3, 519-528.
  21. M.N.K. and Sz.Gy. Revész, Turán's extremal problem for positive definite functions on groups,
    J. London Math. Soc. (2) 74 (2006), 2, 475-496.
  22. M.N.K. and Sz.Gy. Revész, On pointwise estimates of positive definite functions with given support,
    Canadian J. Math. 58 (2006), 2, 401-418.
  23. Tamás Keleti and M.N.K, On the determination of sets by their triple correlation in finite cyclic groups,
    Online J. Anal. Combinatorics, 1 (2006), #4.
  24. M.N.K. and M. Matolcsi, Complex Hadamard matrices and the Spectral Set Conjecture,
    Collectanea Mathematica, Vol Extra (2006), 281-291.
  25. M.N.K., Filling a box with translates of two bricks,
    Electr. J. Combin., 11 (2004), N16.
  26. M.N.K., The study of translational tiling with Fourier Analysis.
    Fourier Analysis and Convexity, 131-187, Appl. Numer. Harmon. Anal., Birkhäuser Boston, Boston, MA, 2004.
  27. M.N.K., Distance sets corresponding to convex bodies.
    Geom. and Funct. Anal., 14 (2004), 4, 734-744.
  28. M.N.K. and I. aba, Tiling and spectral properties of near-cubic domains.
    Studia Math., 160(2004), 287-299.
  29. P. Jaming and M.N.K., Reconstruction of functions from their triple-correlations.
    New York J. Math. 9 (2003), 149-164.
  30. M.N.K. and Sz.Gy. Revész, On a problem of Turán about positive definite functions,
    Proc. AMS 131 (2003), 3423-3430.
  31. M.N.K. and M. Papadimitrakis, A class of non-convex polytopes that admit no orthonormal basis of exponentials,
    Illinois J. Math. 46 (2002), 4, 1227-1232.
  32. M.N.K., Translational tilings of the integers with long periods
    Electr. J. Combinatorics 10 (2003), 1, R22.
  33. M.N.K. and M. Papadimitrakis, The Steinhaus tiling problem and the range of certain quadratic forms,
    Illinois J. Math. 46 (2002), 3, 947-951.
  34. M.N.K., Packing, tiling, orthogonality and completeness,
    Bull. London Math. Soc. 32 (2000), 5, 589-599.
  35. M.N.K., Non-symmetric convex domains have no basis of exponentials,
    Illinois J. Math. 44 (2000), 3, 542-550.
  36. M.N.K., On the structure of multiple translational tilings by polygonal regions,
    Discr. Comp. Geom. 23 (2000), 4, 537-553.
  37. M.N.K., On the uniform distribution in residue classes of dense sets of integers with distinct sums,
    J. Number Th. 76 (1999), 147-153.
  38. M.N.K. and Th. Wolff, On the Steinhaus tiling problem,
    Mathematika, 46 (1999), 2, 253-280.
  39. M.N.K, Lattice tilings by cubes: whole, notched and extended,
    Electr. J. Combinatorics 5 (1998), 1, R14.
  40. L.E. Kavraki, M.N.K and J.-C. Latombe, Analysis of Probabilistic Roadmaps for Path Planning,
    IEEE Transactions on Robotics and Automation 14 (1998), 1, 166-171. Also in Proc. IEEE Conf. Robotics and Automation, Minneapolis, 1996, 3020-3025.
  41. M.N.K., Multi-lattice tiles,
    Intern. Math. Research Notices, 1997, 19, 937-952.
  42. M.N.K., Lattice-tiling properties of integral self-affine functions,
    Appl. Math. Letters, 10 (1997), 5, 1-4.
  43. M.N.K., Infinite Patterns That Can Be Avoided by Measure,
    Bull. London Math. Soc. 29 (1997), 4, 415-424.
  44. (Survey) M.N.K., Some Applications of Probability to Additive Number Theory and Harmonic Analysis,
    in Number Theory: New York Seminar 1991-1995, Springer Verlag (1996).
  45. M.N.K., On the Additive Complements of the Primes and Sets of Similar Growth,
    Acta Arith, 77 (1996), 1, 1-8.
  46. M.N.K., A New Estimate for a Problem of Steinhaus,
    Intern. Math. Res. Notices, 1996, 11, 547-555.
  47. M.N.K., A Problem of Steinhaus: Can All Placements of a Planar Set Contain Exactly One Lattice Point?
    Analytic Number Theory: Proceedings of a conference in honor of H. Halberstam, Birkhäuser, 1996.
  48. M.N.K. and J.C. Lagarias, Tilings of the Line by Translates of a Function,
    Duke Math. J. 82 (1996), 3, 653-678.
  49. M.N.K., The Density of Sets and the Minimum of Dense Cosine Sums,
    J. Number Theory 56 (1996), 1, 4-11.
  50. N. Alon and M.N.K., On a Problem of Erdos and Turán and Some Related Results,
    J. Number Theory 55 (1995), 1, 82-93.
  51. L.E. Kavraki and M.N.K., Partitioning a Planar Assembly Into Two Connected Parts is NP-Complete,
    Inf. Proc. Letters 55 (1995), 159-165.
  52. M.N.K., Selection of a Large Sum-Free Subset in Polynomial Time,
    Inf. Proc. Letters 49 (1994), 255-256.
  53. M.N.K., An Effective Additive Basis for the Integers 1,
    Discr. Math. 145 (1995), 307-313. Also in Proc. Symposium On Discrete Algorithms (SODA) 1994.
  54. M.N.K., A Construction Related to the Cosine Problem,
    Proc. Amer. Math. Soc. 122 (1994), vol. 4, 1115-1119.
  55. M.N.K., On Nonnegative Cosine Polynomials with Nonnegative, Integral Coefficients,
    Proc. Amer. Math. Soc. 120 (1994), vol. 1, 157-163.
  56. M.N.K. and K.N. Kutulakos, Fast Computation of the Euclidean Distance Map for Binary Images,
    Inf. Proc. Letters 43 (1992), 181-184.

Technical Report

  1. M.N.K. and S.C. Orphanoudakis, Computing Line Sums on a Mesh Connected Computer,
    Technical Report, Institute of Computer Science, Foundation of Research and Technology, Hellas, Greece, 1988.


... Integers1
This won a $100 prize which was offered for the solution of this problem by Paul Erdos several years ago.

Mihalis Kolountzakis 2018-03-20