Address: 
Joy Morris
Department of Mathematics & Computer Science
University of Lethbridge
4401 University Drive
Lethbridge, AB
CANADA T1K 3M4


Phone: 
(403) 3324100 
Fax: 
(403) 3172882 
Office: 
C536 
Email: 
joy@cs.uleth.ca 

Fall 2016 
 Math 3400, Section A 
 Math 3860, Section A 
Spring 2017  Summer 2017 
 (no teaching duties) 
My research interests are in Combinatorics, in particular Algebraic
Graph Theory (Cayley Graphs). I have published several papers. These include the papers available for
download below in .pdf format. Many of the papers below represent joint work, as indicated in the authorship.
Connectivity of Cayley Graphs: A Special Family
(Appeared in JCMCC, 1996)
Isomorphic Cayley Graphs
on different Groups
(Appeared in Congressus Numerantium, 1996)
Automorphism groups with Cyclic
Commutator Subgroups and Hamilton Cycles
(With E. Dobson, H. Gavlas and D. Witte. Appeared in Discrete Math., 1998)
Selfcomplementary Circulant
Graphs
(With B. Alspach and V. Vilfred. Appeared in Ars Combinatoria, 1999)
Isomorphic Cayley Graphs on
Nonisomorphic Groups
(Appeared in JGT, 1999)
Classifying ArcTransitive Circulants of
Squarefree Order
(With C. H. Li and D. Marusic. Appeared in JACO, 2001)
Toida's Conjecture is True
(With E. Dobson. Appeared in Electronic J. of Combin., 2002)
Results towards showing Z_p^n is a CIgroup
(Appeared in Congressus Numerantium, 2002)
Stitching Images Back Together
(With F. Lutscher, J. McNulty, and K. Seyffarth. Appeared in Congressus Numerantium, 2003)
Flows that are sums of hamiltonian cycles in Cayley graphs on abelian groups
(With D. Morris and D. Moulton. Appeared in Discrete Math., 2005)
On automorphism groups of circulant digraphs of squarefree order
(With E. Dobson. Appeared in Discrete Math., 2005)
Normal circulant graphs with noncyclic regular subgroups
(With D. Marusic. Appeared in JGT, 2005)
Brian Alspach and his work
(With M. Sajna. Appeared in Discrete Math., 2005)
Automorphism groups of circulant graphs  a survey
(Appeared in Graph Theory, Trends in Math., Birkhauser, 2006)
Cyclic hamiltonian cycle systems of the complete graph minus a 1factor
(With H. Jordon. Appeared in Discrete Math., 2008)
Automorphism groups of wreath product digraphs (With E.
Dobson. Appeared in Electronic J. of Combin., 2009)
Directed cyclic hamiltonian cycle systems of the complete symmetric digraph
(With H. Jordon. Appeared in Discrete Math., 2009)
Hamiltonian cycles in (2,3,c)circulant digraphs
(With D. Morris and K. Webb. Appeared in Discrete Math., 2009)
Strongly regular edgetransitive graphs
(With C. Praeger and P. Spiga. Appeared in Ars Mathematica Contemporanea, 2009)
Balanced Cayley graphs and balanced planar graphs
(With P. Spiga and K. Webb. Appeared in Discrete Math., 2010)
Hamiltonian cycles in Cayley graphs whose order has few prime factors
(With K. Kutnar, D. Marusic, D. Morris and P. Sparl. Appeared in Ars Mathematica Contemporanea, 2012.)
Cayley graphs of order 16p are hamiltonian
(With S. Curran and D. Morris. Appeared in Ars Mathematica Contemporanea, 2012.)
Generalised quadrangles with a group of automorphisms acting primitively on points and lines
(With J. Bamberg, M. Giudici, G. Royle and P. Spiga. Appeared in J. Combin. Theory  A, 2012.)
Asymptotic automorphism groups of circulant graphs and digraphs
(With S. Bhoumik and E. Dobson. Appeared in Ars Math. Comtemp., 2014.)
Automorphisms of Cayley graphs on generalised dicyclic groups,
(With P. Spiga and G. Verret. Appeared in Europ. J. Combin., 2015.)
Affine transformations of finite vector spaces with large orders or few cycles,
(With S. Guest, C. Praeger, and P. Spiga. Appeared in J. Pure and Applied Alg., 2015.)
On the maximum orders of elements of finite almost simple groups and primitive permutation groups,
(With S. Guest, C. Praeger, and P. Spiga. Appeared in Trans. Amer. Math. Soc., 2015.)
Quotients of CIgroups are CIgroups,
(With E. Dobson. Appeared in Graphs and Combin., 2015.)
Λtransitive digraphs preserving a cartesian decomposition
(With P. Spiga. Appeared in J. of Australian Math. Sci., 2015.)
Further restrictions on the structure of finite DCIgroups: an addendum,
(With E. Dobson and P. Spiga. Appeared in J. Alg. Combin., 2015.)
Elementary proof that (Z_p)^4 is a DCIgroup.
(Appeared in Discrete Math., 2015.)
Semiregular automorphisms of cubic vertextransitive graphs and the abelian normal quotient method,
(With P. Spiga and G. Verret. Appeared in Electronic. J. Combin., 2015.)
On colourpreserving automorphisms of Cayley graphs,
(With A. Hujdurovic, K. Kutnar, and D. Morris. Appeared in Ars. Math. Contemp., 2015.)
Finite primitive permutation groups containing a permutation having at most four cycles,
(With S. Guest, C. Praeger, and P. Spiga. Appeared in J. Alg., 2016.)
Automorphisms of circulants that respect partitions,
(Accepted by Contributions to Discrete Math.)
Automorphism groups of circulant digraphs with applications to semigroup theory,
(With J. Araujo, W. Bentz, E. Dobson, and J. Konieczny. Accepted by Combinatorica.)
Isomorphisms of Cayley graphs on nilpotent groups,
(With D. Morris and G. Verret. Accepted by New York J. Math.)
Cyclic mCycle Systems of Complete Graphs minus a 1factor,
(With H. Jordon. Accepted by Australasian J. Combin.)
The CI problem for infinite groups,
(Submitted to Electronic J. Combin.)
On Color Preserving Automorphisms of Cayley Graphs of Odd Squarefree Order,
(With E. Dobson, A. Hujdurovic, and K. Kutnar. Submitted to J. Alg. Combin.)
(Note: Dates inside the above files represent the dates on which I converted them to .pdf form, and may bear no relation to their publication dates. The
files are not usually the final published version of the paper, due to copyright issues.)
Here are slides from the plenary talk I gave at the 8th Slovenian Conference on Graph Theory, June 2015.
I have removed most of the page breaks from the slides.
I married Dave Morris in December of 2002. Here is a
wedding photo.