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Triples, current graphs and biembeddings. (English) Zbl 0519.05025


MSC:

05C10 Planar graphs; geometric and topological aspects of graph theory
05B30 Other designs, configurations
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References:

[1] Anderson, I.,Infinite families of biembedding numbers. J. Graph Theory3 (1979), 263–268. · Zbl 0417.05024 · doi:10.1002/jgt.3190030309
[2] Anderson, I.,On the toroidal thickness of graphs. J. Graph Theory6 (1982), 177–184. · Zbl 0487.05024 · doi:10.1002/jgt.3190060212
[3] Anderson, I. andCook, R. J.,Biembeddings of graphs. Glasgow Math. J.15 (1974), 162–165. · Zbl 0319.05105 · doi:10.1017/S0017089500002354
[4] Anderson, I. andWhite, A. T.,Current graphs and biembeddings. J. Graph Theory2 (1978), 231–239. · Zbl 0418.05020 · doi:10.1002/jgt.3190020306
[5] Davies, R. O.,On Langford’s problem (II). Math. Gaz.43 (1959), 253–255. · Zbl 0116.01103
[6] Garman, B. L., Ringeisen, R. D. andWhite, A. T.,On the genus of strong tensor products of graphs. Canad. J. Math.28 (1976), 523–532. · Zbl 0336.05103 · doi:10.4153/CJM-1976-052-9
[7] Hanani, H.,A note on Steiner triple systems. Math. Scand.8 (1960), 154–156. · Zbl 0100.01802
[8] Heffter, L., Über Tripelsysteme. Math. Ann.49 (1897), 101–112. · JFM 28.0128.02 · doi:10.1007/BF01445363
[9] Hilton, A. J. W.,On Steiner and similar triple systems. Math. Scand.24 (1969), 208–216. · Zbl 0188.04004
[10] Langford, C. D.,Problem. Math. Gaz.42 (1958), 228.
[11] O’Keefe, E. S.,Verification of a conjecture of Th. Skolem. Math. Scand.9 (1961), 80–82.
[12] Peltesohn, R., Eine Lösung der beiden Heffterschen Differenzenprobleme. Compositio Math.6 (1939), 251–257. · JFM 64.0040.08
[13] Ringel, G., Über das Problem der Nachbargebiete auf orientierbaren Flächen. Abh. Math. Sem. Univ. Hamburg25 (1961), 105–127. · Zbl 0182.26603 · doi:10.1007/BF02992781
[14] Ringel, G., Die Toroidale Dicke des vollständigen Graphen. Math. Z.87 (1965), 19–26. · Zbl 0132.21302 · doi:10.1007/BF01109925
[15] Rogers, D.,Notes on harmonious graphs. Unpublished.
[16] Rosa, A.,On reverse Steiner triple systems. Discrete Math.2 (1972), 61–71. · Zbl 0242.05016 · doi:10.1016/0012-365X(72)90061-1
[17] Rosa, A., Poznamka o cyklickych Steinerovych systemoch trojic. Math.-Fyz. Časopis Sloven. Akad. Vied.16 (1966), 285–290.
[18] Skolem, T.,On certain distributions of integers in pairs with given differences. Math. Scand.5 (1957), 273–280. · Zbl 0084.04304
[19] Skolem, T.,Some remarks on the triple systems of Steiner. Math. Scand.6 (1958), 273–280. · Zbl 0105.25002
[20] Stanton, R. G. andGoulden, I. P.,Graph factorization, general triple systems and cyclic triple systems. Aequationes Math.22 (1981), 1–28. · Zbl 0466.05011 · doi:10.1007/BF02190154
[21] Youngs, J. W. T.,The Heawood map-coloring problem: cases 1, 7and 10. J. Combinatorial Theory8 (1970), 220–231. · Zbl 0192.60505 · doi:10.1016/S0021-9800(70)80076-X
[22] Youngs, J. W. T.,The mystery of the Heawood conjecture. InGraph Theory and Its Applications, edited by B. Harris, Academic Press, New York, 1970. · Zbl 0208.52303
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