Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
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Bill Sands
- Professor
- Pure Mathematics
Research Interests
Currently Teaching
| W2012 - MATH 271 - Discrete Mathematics | Syllabus | ||||||||||||||||
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| W2012 - PMAT 317 - Honours Algebra I | Syllabus | ||||||||||||||||
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Publications
Book
- Rival, Ivan and Sands, Bill. Pictures in lattice theory 65. North-Holland, 1982. 341-355.
- Rival, Ivan and Sands, Bill. How many four-generated simple lattices? 9. PWN, 1982. 67-72.
Journal Paper
- Sauer, Norbert, Sands, Bill, Duffus, Dwight and V. Rodl. Chromatic numbers and homomorphisms of large girth hypergraphs 26. 2006. 455-471.
- Duffus, Dwight and Sands, Bill. Finite distributive lattices and the splitting property 49.1 2003. 13-33.
- Duffus, Dwight and Sands, Bill. Minimum sized fibres in distributive lattices 70.3 2001. 337-350.
- Paulhaus, Marc and Sands, Bill. Nonregular graphs with a regular number of walks 32. 2001. 77-89.
- Ginsburg, John and Sands, Bill. An optimal algorithm for a parallel cutting problem 57. 2000. 87-95.
- Ginsburg, John and Sands, Bill. Completely disconnecting the complete graph 13.1 2000. 33-47 (electronic).
- Duffus, Dwight and Sands, Bill. An inequality for the sizes of prime filters of finite distributive lattices 201.1-3 1999. 89-99.
- Linek, V. and Sands, Bill. A note on paths in edge-coloured tournaments 44. 1996. 225-228.
- Duffus, Dwight, R{\"o}dl, Vojt , Sands, Bill and Woodrow, Robert. Enumeration of order preserving maps 9.1 1992. 15-29.
- Duffus, Dwight, Sands, Bill, Sauer, Norbert and Woodrow, Robert. Two-colouring all two-element maximal antichains 57.1 1991. 109-116.
- Duffus, Dwight, Sands, Bill and Winkler, P. . Maximal chains and antichains in {B}oolean lattices 3.2 1990. 197-205.
- Ginsburg, John , Sands, Bill and West, Douglas B.. A length-width inequality for partially ordered sets with two-element cutsets 46.2 1989. 232-239.
- Duffus, Dwight, Sands, Bill and Woodrow, Robert. Lexicographic matchings cannot form {H}amiltonian cycles 5.2 1988. 149-161.
- Ginsburg, J. , Rival, I. and Sands, Bill. Antichains and finite sets that meet all maximal chains 38.3 1986. 619-632.
- Faigle, U. and Sands, Bill. A size-width inequality for distributive lattices 6.1 1986. 29-33.
- Duffus, Dwight, Sands, Bill and Woodrow, Robert. On the chromatic number of the product of graphs 9.4 1985. 487-495.
- Ruckelshausen, W. and Sands, Bill. On finitely generated lattices of width four 16.1 1983. 17-37.
- Sands, Bill, Sauer, Norbert and Woodrow, Robert. On monochromatic paths in edge-coloured digraphs 33.3 1982. 271-275.
- Galvin, F. , Rival, I. and Sands, Bill. A {R}amsey-type theorem for traceable graphs 33.1 1982. 7-16.
- Rival, I. , Ruckelshausen, W. and Sands, Bill. On the ubiquity of herringbones in finitely generated lattices 82.3 1981. 335-340.
- Sands, Bill. Counting antichains in finite partially ordered sets 35. 1981. 213-228.
- Poguntke, W. and Sands, Bill. On finitely generated lattices of finite width 33.1 1981. 28-48.
- Sands, Bill. Generating sets for lattices of dimension two 29.3 1980. 287-292.
- Rival, Ivan and Sands, Bill. On the adjacency of vertices to the vertices of an infinite subgraph 21.3 1980. 393-400.
- Gr{\"a}tzer, G. , Platt, C. R. and Sands, Bill. Embedding lattices into lattices of ideals 85.1 1979. 65-75.
- Ginsburg, John and Sands, Bill. Minimal infinite topological spaces 86.7 1979. 574-576.
- Rival, Ivan and Sands, Bill. Planar sublattices of a free lattice. {II} 31.1 1979. 17-34.
- Rival, Ivan and Sands, Bill. A note on the congruence lattice of a finitely generated algebra 72.3 1978. 451-455.
- Rival, Ivan and Sands, Bill. Planar sublattices of a free lattice. {I} 30.6 1978. 1256-1283.
- Kucera, T. G. and Sands, Bill. Lattices of lattice homomorphisms 8.2 1978. 180-190.
- Sands, Bill. On a problem involving bounded epimorphisms of lattices 7.2 1977. 211-217.
- Davey, Brian A. and Sands, Bill. An application of {W}hitman's condition to lattices with no infinite chains 7.2 1977. 171-178.
- Yao, Andrew C. C., Reingold, Edward M. and Sands, Bill. Tiling with incomparable rectangles 8.2 1975/76. 112-119.
- Rival, Ivan and Sands, Bill. Weak embeddings and embeddings of finite distributive lattices 26.4 1975. 346-352.
Preprint
Degrees
- 1970 - B.Sc. - University of Manitoba
- 1974 - M.Sc. - University of Manitoba
- 1977 - Ph.D. - University of Manitoba
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