PUBLICATIONS
Research Papers: Published or accepted. Arranged into three groups:
- Designs and other combinatorial structures,
- Graph theory,
- Combinatorial interpretations of polynomials.
Please contact me if reprints or preprints are required: jmcsorley at math.siu.edu or mcsorley60 at hotmail.com
- Designs and other combinatorial structures
- Rhombic tilings of (n,k)-ovals, (n,k,λ)-cyclic difference sets,
and related topics, with A.Schoen.
Discrete Mathematics 313 (2013), pp. 129-154.
[pdf] - On an Additive Characterization of a Skew Hadamard (n,(n-1)/2,(n-3)/4)-Difference
Set in an Abelian Group.
Bulletin of the Institute of Combinatorics and its Applications 68 (2013), pp. 27-32.
[pdf] - Constructing t-designs from t-wise Balanced
Designs, with L.H.Soicher.
European Journal of Combinatorics 28 (2007), pp. 567-571.
[dvi] [pdf] - Complete Enumeration and Properties of Binary Pseudo-Youden
Designs PYD(9,6,6), with N.C.K.Phillips.
Journal of Statistical Planning and Inference 137 (2007), pp. 1464-1473.
[dvi] [pdf] - Double Arrays, Triple Arrays, and Balanced Grids with
v = r + c - 1.
Designs, Codes, and Cryptography 37 (2005), pp. 313--318.
[dvi] [pdf] - Double Arrays, Triple Arrays, and Balanced Grids,
with N.C.K. Phillips, J. Yucas, W.D. Wallis.
Designs, Codes, and Cryptography 35 (2005), pp. 21--45.
More Triple Arrays
[dvi] [pdf] - Bounds for Overfull Sets of One-Factors, with W.D.
Wallis. AWOCA, 15th Australasian Workshop on Combinatorial Algorithms,
Ballina, Australia (2004), pp. 40--42.
[dvi] [pdf] - Orthogonal Arrays of Strength Three from Regular 3-wise Balanced
Designs,
with C. Colbourn, D. Kreher, D. Stinson.
Journal of Statistical Planning and Inference 100 (2002), pp. 191--195.
[dvi] [pdf] - Single-change Circular Covering Designs.
Discrete Mathematics 197 (1999), no 8, pp. 561--588.
[dvi] [pdf] - Cyclic Permutations in Doubly-Transitive Groups.
Communications in Algebra 25 (1997), pp. 33--35.
[dvi] [pdf] - Tight Single-Change Covering Designs, with D.A. Preece,
R.L. Constable, N.C.K. Phillips, W.D. Wallis, J.L. Yucas, G. Zhang.
Utilitas Mathematica 47 (1995), pp. 55--84.
[dvi] [pdf] - Graph
theory
- Smallest labelled class and largest automorphism group
of a tree T_{s,t}.
Bulletin of Institute of Combinatorics and its Applications 77 (2016), pp. 71-84.
[dvi] [pdf] - On k-minimum and m-minimum Edge Magic
Injections of Graphs, with J. Trono.
Discrete Mathematics 310 (2010), (no. 1), pp. 56-69.
[dvi] [pdf] - Neighborhood Champions in Regular Graphs with W.D. Wallis.
Journal of Combinatorial Mathematics and Combinatorial Computing 70 (2009), pp. 49-56.
[dvi] [pdf] - Anomaly Graphs and Champions, with C.E. Priebe, W.D. Wallis.
Proceedings of International Conference on Mathematics and Computer Science (CMCS).
Loyola College, Chennai, India, 2009. (2009), pp. 18-29.
[dvi] [pdf] - Enumerating Labelled Graphs with Certain Neighborhood Properties,
with L. Clark, S. Holliday, T. Porter.
Congressus Numerantium (2008) v. 190, pp. 193-206.
[dvi] [pdf] - Constructing and Classifying Neighborhood Anti-Sperner Graphs.
Discrete Mathematics 38 (2008), (no.23) 5428--5445.
[dvi] [pdf] - Comment on ``The expectation of independent domination number
over random binary trees'', with L. Clark.
Ars Combinatoria 87 (2008), pp. 257-261.
[dvi] [pdf] - There are No Non-trivally Uniformly (t,r)-regular
Graphs for t >2, with
D. Hoffman, P. Johnson, K. Lin, C. Petrie, L. Teirlinck.
Bulletin of the Institute of Combinatorics and its Applications 49 (2007), pp. 11-14.
[dvi] [pdf] - Closed Neighborhood Anti-Sperner Graphs, with A.
Marr, T. Porter, W.D. Wallis.
Australasian Journal of Combinatorics 38 (2007), pp. 63-76.
[dvi] [pdf] - Totally Magic Injections of Graphs.
Journal of Combinatorial Mathematics and Combinatorial Computing 56 (2006), pp. 65--81.
[dvi] [pdf] - Generating Sequences of Clique-Symmetric Graphs via Eulerian
Digraphs, with T. Porter.
Discrete Mathematics 287 (2004), pp. 85--91.
[dvi] [pdf] - K_p-Removable Sequences
of Graphs, with T. Porter.
Journal of Combinatorial Mathematics and Combinatorial Computing, 45 (2003), pp. 43--62.
[dvi] [pdf] - Clique-Symmetric Uniform Hypergraphs, with T.Porter.
Matemàtica Contemporanea 25 (2003), pp. 145--152.
[dvi] [pdf] - On the Spectra of Totally Magic Labelings, with W.D. Wallis.
Bulletin of the Institute of Combinatorics and its Applications, 37 (2003), pp. 58--62.
[dvi] [pdf] - Vertex-Magic Labelings of Trees and Forests, with
I.D. Gray, J. MacDougall, W.D. Wallis. Discrete Mathematics,
261 (2003), pp. 285--298.
[dvi] [pdf] - Totally Magic Graphs, with G. Exoo, A.C.H. Ling,
N.C.K. Phillips, W.D. Wallis.
Discrete Mathematics, 254 (2002), pp. 103--113.
[dvi] [pdf] - Counting Structures in the Möbius Ladder.
Discrete Mathematics, 184 (1998), pp. 137--164.
[dvi] [pdf] - A Generalized Coloring of Graphs, with A. Amin,
L. Clark, H. Wang, G. Zhang.
Journal of Combinatorial Mathematics and Combinatorial Computing 24 (1997), pp. 49--63.
[dvi] [pdf]
- Smallest labelled class and largest automorphism group
of a tree T_{s,t}.
Bulletin of Institute of Combinatorics and its Applications 77 (2016), pp. 71-84.
- Combinatorial interpretations of polynomials
- The m-Path Cover Polynomial of a Graph and a model for General Coefficient Linear Recurrences, with P. Feinsilver,
International Journal of Combinatorics, (2014) v. 2014, Article ID 258017, 13 pages.
[pdf] - Zeons, Permanents, the Johnson Scheme, and Generalised Derangments, with P. Feinsilver,
International Journal of Combinatorics, (2011), Article ID 539030, 29 pages.
[pdf] - Multivariate Matching Polynomials of Cyclically Labelled Graphs,
with P. Feinsilver,
Discrete Mathematics 309 (2009), pp.3205--3218.
[dvi] [pdf] - Generating Orthogonal Polynomials and their Derivatives using
Vertex|Matching Partitions of Graphs, with P. Feinsilver, R. Schott,
Ars Combinatoria 87 (2008), pp.75--95.
[dvi] [pdf] - A Combinatorial Interpretation of Bessel Polynomials and their
First Derivatives as Ordered Hit Polynomials, with P. Feinsilver.
Journal of Combin. Mathematics and Combinatorial Computing 39 (2001), pp. 33--48.
[dvi] [pdf] - Combinatorial Interpretation and Operator Calculus of Lommel
Polynomials, with P. Feinsilver, R. Schott.
Journal of Combinatorial Theory 75 (1996), Series A, pp. 163--171.
[dvi] [pdf]