Bill Sands

George William Sands

Contact information

Background

Educational Background

PhD University of Manitoba, 1977

MSc University of Manitoba, 1974

BSc University of Manitoba, 1970

Research

Areas of Research

Enumeration in partial orders and lattices, Edge colouring in graphs, Cutsets and fibres in partial orders

More Information

Books

  • Rival, Ivan and Sands, Bill. Pictures in lattice theory 65. North-Holland, 1982. 341-355. Print.
  • Rival, Ivan and Sands, Bill. How many four-generated simple lattices? 9. PWN, 1982. 67-72. Print.

Journal articles

  • Sauer, Norbert, Sands, Bill, Duffus, Dwight and V. Rodl. "Chromatic numbers and homomorphisms of large girth hypergraphs". Algorithms and Combinatorics, Topics in Discrete Mathematics 26. (2006): 455-471. Print.
  • Duffus, Dwight and Sands, Bill. "Finite distributive lattices and the splitting property". Algebra Universalis 49.1 (2003): 13-33. Print.
  • Duffus, Dwight and Sands, Bill. "Minimum sized fibres in distributive lattices". Journal of the Australian Mathematical Society 70.3 (2001): 337-350. Print.
  • Paulhaus, Marc and Sands, Bill. "Nonregular graphs with a regular number of walks". Bulletin of the Institute of Combinatorics and its Applications 32. (2001): 77-89. Print.
  • Ginsburg, John and Sands, Bill. "An optimal algorithm for a parallel cutting problem". Ars Combinatoria 57. (2000): 87-95. Print.
  • Ginsburg, John and Sands, Bill. "Completely disconnecting the complete graph". SIAM Journal on Discrete Mathematics 13.1 (2000): 33-47 (electronic). Print.
  • Duffus, Dwight and Sands, Bill. "An inequality for the sizes of prime filters of finite distributive lattices". Discrete Math. 201.1-3 (1999): 89-99. Print.
  • Linek, V. and Sands, Bill. "A note on paths in edge-coloured tournaments". Ars Combinatoria 44. (1996): 225-228. Print.
  • Duffus, Dwight, R{\"o}dl, Vojt, Sands, Bill and Woodrow, Robert. "Enumeration of order preserving maps". Order 9.1 (1992): 15-29. Print.
  • Duffus, Dwight, Sands, Bill, Sauer, Norbert and Woodrow, Robert. "Two-colouring all two-element maximal antichains". Journal of Combinatorial Theory. Series A 57.1 (1991): 109-116. Print.
  • Duffus, Dwight, Sands, Bill and Winkler, P.. "Maximal chains and antichains in {B}oolean lattices". SIAM Journal on Discrete Mathematics 3.2 (1990): 197-205. Print.
  • Ginsburg, John, Sands, Bill and West, Douglas B.. "A length-width inequality for partially ordered sets with two-element cutsets". Journal of Combinatorial Theory. Series B 46.2 (1989): 232-239. Print.
  • Duffus, Dwight, Sands, Bill and Woodrow, Robert. "Lexicographic matchings cannot form {H}amiltonian cycles". Order 5.2 (1988): 149-161. Print.
  • Ginsburg, J., Rival, I. and Sands, Bill. "Antichains and finite sets that meet all maximal chains". Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques 38.3 (1986): 619-632. Print.
  • Faigle, U. and Sands, Bill. "A size-width inequality for distributive lattices". Combinatorica. An International Journal of the J\'anos Bolyai Mathematical Society 6.1 (1986): 29-33. Print.
  • Duffus, Dwight, Sands, Bill and Woodrow, Robert. "On the chromatic number of the product of graphs". Journal of Graph Theory 9.4 (1985): 487-495. Print.
  • Ruckelshausen, W. and Sands, Bill. "On finitely generated lattices of width four". Algebra Universalis 16.1 (1983): 17-37. Print.
  • Sands, Bill, Sauer, Norbert and Woodrow, Robert. "On monochromatic paths in edge-coloured digraphs". Journal of Combinatorial Theory. Series B 33.3 (1982): 271-275. Print.
  • Galvin, F., Rival, I. and Sands, Bill. "A {R}amsey-type theorem for traceable graphs". Journal of Combinatorial Theory. Series B 33.1 (1982): 7-16. Print.
  • Rival, I., Ruckelshausen, W. and Sands, Bill. "On the ubiquity of herringbones in finitely generated lattices". Proc. Amer. Math. Soc. 82.3 (1981): 335-340. Print.
  • Sands, Bill. "Counting antichains in finite partially ordered sets". Discrete Math. 35. (1981): 213-228. Print.
  • Poguntke, W. and Sands, Bill. "On finitely generated lattices of finite width". Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques 33.1 (1981): 28-48. Print.
  • Sands, Bill. "Generating sets for lattices of dimension two". Discrete Math. 29.3 (1980): 287-292. Print.
  • Rival, Ivan and Sands, Bill. "On the adjacency of vertices to the vertices of an infinite subgraph". Journal of the London Mathematical Society. Second Series 21.3 (1980): 393-400. Print.
  • Gr{\"a}tzer, G., Platt, C. R. and Sands, Bill. "Embedding lattices into lattices of ideals". Pacific Journal of Mathematics 85.1 (1979): 65-75. Print.
  • Ginsburg, John and Sands, Bill. "Minimal infinite topological spaces". The American Mathematical Monthly 86.7 (1979): 574-576. Print.
  • Rival, Ivan and Sands, Bill. "Planar sublattices of a free lattice. {II}". Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques 31.1 (1979): 17-34. Print.
  • Rival, Ivan and Sands, Bill. "A note on the congruence lattice of a finitely generated algebra". Proc. Amer. Math. Soc. 72.3 (1978): 451-455. Print.
  • Rival, Ivan and Sands, Bill. "Planar sublattices of a free lattice. {I}". Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques 30.6 (1978): 1256-1283. Print.
  • Kucera, T. G. and Sands, Bill. "Lattices of lattice homomorphisms". Algebra Universalis 8.2 (1978): 180-190. Print.
  • Sands, Bill. "On a problem involving bounded epimorphisms of lattices". Algebra Universalis 7.2 (1977): 211-217. Print.
  • Davey, Brian A. and Sands, Bill. "An application of {W}hitman's condition to lattices with no infinite chains". Algebra Universalis 7.2 (1977): 171-178. Print.
  • Yao, Andrew C. C., Reingold, Edward M. and Sands, Bill. "Tiling with incomparable rectangles". J. Recreational Math. 8.2 (1975/76): 112-119. Print.
  • Rival, Ivan and Sands, Bill. "Weak embeddings and embeddings of finite distributive lattices". Archiv der Mathematik. Archives of Mathematics. Archives Math\'ematiques 26.4 (1975): 346-352. Print.

Preprint

  • Sands, Bill and Duffus, Dwight. "Finite distributive lattices and the splitting property.". , (March 2002). Print.