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A problem of Ulam on planar graphs. (English) Zbl 0469.05027


MSC:

05C10 Planar graphs; geometric and topological aspects of graph theory
Full Text: DOI

References:

[1] Berge, C., Graphs and Hypergraphs (1973), North-Holland: North-Holland Amsterdam · Zbl 0483.05029
[2] Erdos, P.; Spencer, J., Probabilistic Methods in Combinatorics (1974), Academic Press: Academic Press New York · Zbl 0308.05001
[3] Howorka, E., Graphs universal for isometric embeddings, (Proceedings of the 8th Southeastern Conference on Combinatorics, Graph Theory and Computing (1977), Baton Rouge)
[4] Jonsson, B., Homogeneous universal relational systems, Math. Scand., 8, 137-142 (1960) · Zbl 0173.00505
[5] Pach, J., On metric properties of countable graphs (in Hungarian), Mat Lapok, 26, 305-310 (1975) · Zbl 0392.05053
[6] Rado, R., Universal graphs and universal functions, Acta Arith., 9, 331-340 (1964) · Zbl 0139.17303
[7] Rado, R., Universal graphs, (Harary, F.; Beineke, L. W., A seminar on Graph Theory (1967), Holt, Rinehart and Winston: Holt, Rinehart and Winston New York) · Zbl 0139.17303
[8] Rotman, B., Remarks on some theorems of Rado on universal graphs, J. London Math. Soc. Ser. II, 4, 123-127 (1971) · Zbl 0223.05131
[9] Shelah, S., Notes on combinatorial set theory, Israel J. Math., 14, 262-277 (1973) · Zbl 0269.04004
[10] S.M. Ulam: unpublished.; S.M. Ulam: unpublished.
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