Charles C. Cadogan

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Department of Mathematics and Computer Science, University of the West Indies, Cave Hill, Barbados.

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Dr. Cardogan is Editor and Chief of the Caribbean Journal of Mathematical and Computing Sciences. Recently, he has announced a solution to the famous 3x+1 problem..

RESEARCH

Books

1. Proceedings of the Third Caribbean Conference on Combinatorics and Computing. Held at the University of the West Indies, Bridgetown, January 5--8, 1981. Edited by Charles C. Cadogan. University of the West Indies, Cave Hill Campus, Barbados, 1981. vi+189 pp.

2. Proceedings of the Second Caribbean Conference on Combinatorics and Computing. Held at the University of the West Indies, Bridgetown, January 4--7, 1977. Edited by Ronald C. Read and Charles C. Cadogan. University of the West Indies, Cave Hill Campus, Barbados, 1977. vii+223 pp.

Papers

  1. Cadogan, Charles, A Solution to the 3x+1 Problem. Submitted
  2. Cadogan, Charles, Trajectories in the 3x+1 Problem. Journal of Combinatorial Mathematics and Combinatorial Computing 44 (2003)), 177-187
  3. Cadogan, Charles Exploring the 3x+1 problem 1. Caribbean J. Math. Comput. Sci. 6 (1996), no. 1-2, 10--18.
  4. Cadogan, C. C. Graph-lattices revisited. Caribbean J. Math. 9 (1990), no. 1-2, 31 pp.
  5. Cadogan, C. C. A note on the 3x+1 problem. Caribbean J. Math. 3 (1984), no. 2, 67--72
  6. Cadogan, C. C. A particular telescoping problem---an overview. Caribbean J. Math. 1 (1982), no. 2, 77--88.
  7. Cadogan, C. C. A note on colourings of a product of graphs. Caribbean J. Math. 1 (1982), no. 1, 45--48.
  8. Cadogan, C. C.; Lowe, C. S. On equivalence classes within equivalence classes of integers. Proceedings of the Third Caribbean Conference on Combinatorics and Computing (Bridgetown, 1981), pp. 77--88, Univ. West Indies, Cave Hill Campus, Barbados, 1981.
  9. Cadogan, C. C. Graph-lattices and associated matrices. Indian J. Math. 17 (1975), no. 1, 21--32.
  10. Bellamy, O. S.; Cadogan, C. C. Subsets of positive integers: their cardinality and maximality properties. Proceedings of the Tenth Southeastern Conference on Combinatorics, Graph Theory and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1979), pp. 167--178, Congress. Numer., XXIII--XXIV, Utilitas Math., Winnipeg, Man., 1979.
  11. Cadogan, C. C. Inverse differential operators over graph-lattices. Proceedings of the Sixth Southeastern Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1975), pp. 115--122. Congressus Numerantium, No. XIV, Utilitas Math., Winnipeg, Man., 1975.
  12. Cadogan, C. C. Differential operators over graph-lattices. Proceedings of the Third Southeastern Conference on Combinatorics, Graph Theory and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1972), pp. 99--116. Florida Atlantic Univ., Boca Raton, Fla. 1972.
  13. Cadogan, C. C.; Callender, B. A. A problem on positive integers. New Zealand Math. Mag. 11 (1974), 87--91, 94.
  14. Cadogan, C. C. On partly ordered partitions of a positive integer. Fibonacci Quart. 9 (1971), no. 3, 329--336.
  15. Cadogan, Charles Some generalizations of the Pascal triangle. Math. Mag. 45 (1972), 158--162.
  16. Cadogan, C. C. The Möbius function and connected graphs. J. Combinatorial Theory Ser. B 11 1971 193--200.
  17. Cadogan, C. C. On connected cubic graphs and trivalent trees. 1971 Recent Trends in Graph Theory (Proc. Conf., New York, 1970) pp. 49--54 Lecture Notes in Mathematics, Vol. 186 Springer, Berlin
  18. Cadogan, C. C. Graph-lattices and the enumeration of linear graphs. 1970 Proc. Louisiana Conf. on Combinatorics, Graph Theory and Computing (Louisiana State Univ., Baton Rouge, La., 1970) pp. 61--86 Louisiana State Univ., Baton Rouge, La.
  19. Cadogan, C. C. On multigraphs with a given partition. Bull. Austral. Math. Soc. 3 1970 125--137.

 

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