Papers and Preprints of Luis Goddyn
The following are preprint versions of papers in various
stages of preparation.
Due to copywrite limitations, final proof versions are
not posted here, and the authors assume no responsibility
for differences between these documents and published versions.
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Available formats:
- .ps PostScript
- .dvi DVI
- .tex LaTeX (text)
- .pdf PDF
- .bib BibTeX for refs (text)
- Alt Alternative Access
Journal Articles
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Goddyn, L.A.,
A girth requirement for the double cycle cover conjecture,
in "Cycles in Graphs",
Annals Disc. Math. 27,
North-Holland, Amsterdam/New York/Oxford, 1985, 13 - 26.
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Goddyn, L.A.,
A counterexample to a conjecture about oriented graphs,
in "Cycles in Graphs",
Annals Disc. Math. 27,
North-Holland, Amsterdam/New York/Oxford, 1985, 235 - 236.
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Goddyn, L.A., Lawrence, G., Nemeth, E.,
Gray codes with optimized run lengths,
Utilitas Mathematica 34 (1988), 179 - 192.
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Goddyn, L.A.,
Cycle double covers of graphs with Hamilton paths,
J. Combin. Theory Ser. B 46 (1989), 253 - 254.
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Goddyn, L.A.,
Research Problems: Problem 133 ,
Discrete Math. 85 (1990), 111-112.
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Goddyn, L.A.,
Quantizers and the worst case Euclidean traveling salesman problem,
J. Combin. Theory Ser. B 50 (1990), 65 - 81.
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Goddyn L.A.,
Cones, lattices and Hilbert bases of circuits and perfect matchings,
in "Graph Structure Theory",
Contemporary Mathematics 147 (1993), 419 - 439.
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Alspach, B., Goddyn, L., Zhang, C-Q,
Graphs with the circuit cover property,
Trans. Amer. Math. Soc. 344 (1994), 131 - 154.
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Ellingham, M., Goddyn, L.A.,
List edge colourings of some regular planar multigraphs,
Combinatorica 16 (1996), 343 - 352.
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Goddyn, L.A., van den Heuvel, J., McGuinness, S.,
Removable circuits in multigraphs,
J. Combin Theory Ser. B 71 (1997), 130 - 143.
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Goddyn, L.A., Tarsi, M., Zhang, C-Q,
On (k,d)-colorings and fractional nowhere zero flows,
J. Graph Theory 28 (1998), 155 - 161.
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Bienia, W., Goddyn, L., Gvozdjak, P., Sebö, A., Tarsi, M.,
Flows, view-obstructions, and the lonely runner,
J. Combin. Theory Ser. B 72 (1998), 1 - 9.
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Fu, X., Goddyn, L.A.,
Matroids with the circuit cover property,
European J. Comin. 20 (1999), 61 - 73.
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Goddyn, L., Jackson, B.,
Removable Circuits in Binary Matroids,
Combin. Probab. Comput. 8 (1999), 539 - 545.
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Galluccio, A., Goddyn, L, Hell, P.,
Large girth graphs avoiding a fixed minor are nearly bipartite,
J. Combin Theory Ser. B 83 (2001), 1 - 14.
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Galluccio, A., Goddyn, L.,
The circular flow number of a 6-edge connected
graph is less than four,
Combinatorica 22 (2002), 455 - 459.
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Michael Maraun, Kathleen Slaney, Louis(sic) Goddyn,
An analysis of Meehl's MAXCOV-HITMAX procedure
for the case of dichomtomous indicators.,
Multivariate Behavioral Research, 38 No.1, (2003), 81 - 112.
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Jounal Link
A rigourous derivation of a critical inequality
in is avalable here:
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Goddyn, L., Gvozdjak, P.
Binary gray codes with long bit runs,
Electron. J. Combin. 10 (2003), Research Paper 27, 1 - 10.
Published Article 
 
 
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DeVos, M., Goddyn, L., Mohar, B., Vertigan, D., Zhu X.
Coloring-flow duality of embedded graphs,
Trans. Amer. Math. Soc., 357 (2005), 3993 - 4016.
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Goddyn, L., Stacho, L.
Edge disjoint cycles through specified vertices.,
J. Graph Theory 50 (2005), 246 - 260.
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Erratum!  
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Goddyn, L., Hlineny, P., Hochstattler, W.
Balanced signings and chromatic number of oriented matroids,
Combin. Probab. Comput. 15 (2006) 523 - 539.
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Goddyn, L., Wong, E.
Tight instances of the lonely runner,
Integers 6 (2006), A38, 14pp.
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Chudnovski, M., Geelen, J., Gerards, B., Goddyn, L., Lohman, M., Seymour, P.
Packing non - zero A-paths in group-lableled graphs
Combinatorica, 26 (2006), no. 5, 521 - 532.
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Chavez Lomeli, L., Goddyn, L.
Eulerian and bipartite orientable matroids,
Combinatorics, Complexity and Chance, A tribute to Dominic Welsh,
Oxford University Press, G. Grimmett and C. McDiarmid Eds, 2007, 11 - 27
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Goddyn, L., Richter, R.B., Siran, J.
Triangular embeddings of complete graphs from graceful labellings of paths
J. Combin. Theory Ser. B 97 (2007) Pages 964 - 970.
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DeVos, M, Ebrahimi, J, Ghebleh, M, Goddyn, L., Mohar, B., Naserasr, R.
Circular colouring the plane
SIAM J. Discrete Math. 21 (2007) 461 - 465.
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DeVos, M., Goddyn, L., Mohar, B., Samal, R.
A quadratic lower bound for subset sums,
Acta Arithmetica 129 (2007) 187 - 195.
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Ghebleh M., Goddyn L.A., Mahmoodian, E.S., Verdian-Rizi M.
Silver Cubes
Graphs and Combinatorics 24 (2008), 429 - 442.
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DeVos M., Goddyn L., Mohar, B., Samal, R.
Cayley sum graphs and eigenvalues of (3,6)-fullerenes
J. Combin. Theory Ser. B 99 (2009), 358 - 369.
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Goddyn, L., DeVos, M., Mohar, B.
A generalization of Kneser's Addition Theorem, Adv. Math. 220 (2009), 1531 - 1548.
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Chavez-Lomeli, L., Goddyn, L., Hochstaettler, W.
Balancing Covectors, SIAM J. Discrete Math., 25
(2011), 1315 - 1318.
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Goddyn, L., Hochstaettler, W.
Nowhere-zero flows in regular matroids and Hadwiger's conjecture,
Seminarberichte der Mathematik - FernUniversitat in Hagen 87 (2015), 97 - 102.
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Goddyn, L., Huynh, T., Deshpande, T,
On Hilbert bases of cuts,
Discrete Math., 339 (2016), no. 2, 721 - 728.
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Goddyn, L., Hochstaettler, W., Neudauer, N.
Bicircular Matroids are 3-colorable,
Discrete Math., 339 (2016), no. 5, 1425 - 1429.
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- Besharati, Nazli; Goddyn, Luis; Mahmoodian, E. S.; Mortezaeefar, M.
On the chromatic number of Latin square graphs.
Discrete Math. 339 (2016), no. 11, 2613 - 2619.
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- Goddyn, L.; Xu, Y.
On the Bounds of Conwayâs Thrackles.
Discrete Comput Geom. 58 (2017), no. 2, 410 - 416.
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Goddyn, L.; Halasz, K.; Mahmoodian, E.S.
The chromatic Number of Finite Group Cayley Tables
Electronic Journal of Combinatorics 26(1) (2019), #P.361 (15 pages)
.pdf (arXiv version) 
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Luis Goddyn, Kevin Halasz,
All group-based latin squares possess near transversals,
J Comb Design 28(5) (2020), 358 - 365.
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Refereed Conference Proceedings
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Karneda, T.; Sun, Y.; Goddyn, L.
An optimization problem related to VoD broadcasting,
Algorithms and computation, 116 - 125,
Lecture Notes in Comput. Sci., 3827, Springer, Berlin, 2005.
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On arXiv.org
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Goddyn, Luis; Spencer, Andrea.
Few long lists for edge choosability of planar cubic graphs
arXiv:1210.7944v1 (14 pages)
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Dan Archdeacon, Luis Goddyn, Jernej Rus,
E-restricted double traces.
arXiv:1610.09888 (14 pages)
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Accepted for publication
Submitted Works
Other contributions
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Goddyn, L.A.,
Solution to a problem of Knuth,
submitted to
American Math Monthly, (Sept. 25, 1995).
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Goddyn, Luis.
Wobbling Bicycle.
Crux Mathematicorum 42 No.1 (2016), 10 - 10 (Problem)
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Goddyn, Luis.
Wobbling Bicycle.
Crux Mathematicorum 42 No.1 (2016), 209 - 210 (Solution)
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