#### 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**, with A.Schoen.*(n,k)*-ovals,*(n,k,λ)*-cyclic difference sets, and related topics*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**, with L.H.Soicher.*t*-designs from*t*-wise Balanced Designs*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**, with J. Trono.*k*-minimum and*m*-minimum Edge Magic Injections of Graphs*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, with D. Hoffman, P. Johnson, K. Lin, C. Petrie, L. Teirlinck.*t*>*2**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****_**, with T. Porter.*p*-Removable Sequences of Graphs*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]

**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]