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On cubical graphs. (English) Zbl 0301.05104


MSC:

05C10 Planar graphs; geometric and topological aspects of graph theory
05C35 Extremal problems in graph theory
Full Text: DOI

References:

[1] Bouwer, I. Z.; LeBlanc, G., A note on primitive graphs, Canad. Math. Bull., 15, 437-440 (1972) · Zbl 0251.05125
[2] Djokovic, D. Z., Distance-preserving subgraphs of hypercubes, J. Combinatorial Theory Ser. B, 14, 263-267 (1973) · Zbl 0245.05113
[3] Erdös, P., Graph theory and probability I, Canad. J. Math., 11, 34-38 (1959) · Zbl 0084.39602
[4] Firsov, V. V., Isometric embedding of a graph in a Boolean cube, Kiber., 1, 95-96 (1965), Transl. 1 (1965), 112, 113 · Zbl 0152.41102
[5] Harary, F., (Graph Theory (1969), Addison-Wesley: Addison-Wesley New York) · Zbl 0182.57702
[6] Gilbert, E. N., Gray codes and paths on the \(n\)-cube, Bell Sys. Tech. J., 37, 1-12 (1958)
[7] Graham, R. L., On primitive graphs and optimal vertex assignments, Ann. N.Y. Acad. Sci., 175, 170-186 (1970) · Zbl 0229.05126
[8] Graham, R. L.; Pollak, H. O., On the addressing problem for loop switching, Bell Sys. Tech. J., 50, 2495-2519 (1971) · Zbl 0228.94020
[9] Karp, R. M., Reducibility among combinatorial problems, (Miller, R. E.; Thatcher, J. W., Complexity of Computer Computations (1972), Plenum Press: Plenum Press New York), 85-104 · Zbl 0366.68041
[10] Kautz, W., Unit distance error checking codes, I.R.E. Trans. Elec. Computers, 7, 180 (1958)
[11] L. Lovász; L. Lovász
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