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Department of Mathematics and Statistics at the Faculty of Science
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Contact
» Bill Sands
Bill Sands
Professor
Pure Mathematics
+1 (403) 220-6310
Mathematical Sciences 568
sands@ucalgary.ca
sands@math.ucalgary.ca
Research Interests
Enumeration in partial orders and lattices
Edge colouring in graphs
Cutsets and fibres in partial orders
Currently Teaching
Not currently teaching any courses.
view past courses
Publications
Book
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 Article
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.
Courses
Degrees
PhD
University of Manitoba
, 1977
MSc
University of Manitoba
, 1974
BSc
University of Manitoba
, 1970
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