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.,
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 of oriented matroids and chromatic number,
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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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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Accepted for publication
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Chavez-Lomeli, L., Goddyn, L., Hochstaettler, W.
Balancing Covectors, SIAM J. Discrete Math., 3 pages, accepted Apr 12, 2011.
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Submitted Works
In Preparation
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DeVos, M.; Goddyn, L.,
Excluded minors for bicircular matroids
In preparation
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DeVos, M.; Ghebleh, M.; Goddyn, L.; Mohar B.; Naserasr R.
Circular chromatic number of even-faced projective plane graphs
In preparation
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Goddyn, L., Verdian-Rizi, M.,
Circular chromatic number of even-faced projective plane graphs
In preparation, 16 pages.
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Goddyn, L., Vertigan, D.,
List flows and tensions in regular matroids.
In preparation.
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Goddyn, L., Vertigan, D., Zhu, X.
Minty-type formulas
Preprint, 15 pages.
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DeVos, M., Goddyn, L., Mohar, B.
Computing the shortest closed walk surrounding a given face in an embedded graph,
Preprint.
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Cautis, S., Goddyn, L.
Edge choosability in planar graphs,
Preprint.
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Goddyn, L., DeVos, M.
Integer vectors in the null space of totally unimodular matrices.,
Preprint.
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.dvi  
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Goddyn, L.,
Cycle double covers from spanning subgraphs,
Preprint.
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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