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Packing and covering of the complete graph with a graph G of four vertices or less. (English) Zbl 0521.05053

05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
05C35 Extremal problems in graph theory
[1] Beineke, L. W.: A survey of packing and covering of graphs: the many faces of graph theory. 45 (1969) · Zbl 0186.27601
[2] Bermond, J. C.: Cycles dans LES graphs et G-figurations. Thesis (1975)
[3] Bermond, J. C.; Schönheim, J.: G-decomposition of kn, where G has four vertices or less. Discrete math. 19, 113-120 (1977) · Zbl 0376.05016
[4] Bermond, J. C.; Sotteau, D.: Graph decomposition and G-designs. Proc. 5th british combinatorial conference, 53-72 (1975)
[5] A. E. Brouwer, Optimal packing of K4’s into a Kn. J. Combin. Theory Ser. A, to appear.
[6] Cain, P.: Decomposition of complete graph into stars. Bull. austral. Math. soc. 10, 23-30 (1974) · Zbl 0263.05120
[7] Caro, Y.; Schönheim, J.: Decomposition of trees into isomorphic sub-trees. ARS combin. 9, 119-130 (1980) · Zbl 0454.05022
[8] Chartrand, G.; Geller, D.; Hedetmieni, S.: Graphs with forbidden subgraphs. J. combin. Theory ser. B 10, 12-41 (1971) · Zbl 0223.05101
[9] Jr., M. K. Fort; Hedlund, G. A.: Minimal covering of pairs by triples. Pacific J. Math. 8, 709-719 (1958) · Zbl 0084.01401
[10] Kotzig, A.: On the decomposition of complete graphs into 4k-gons. Mat. fyz. Cas. 15, 229-233 (1965) · Zbl 0134.43402
[11] Mills, W. H.: On the covering of pairs by quadruples I. J. combin. Theory 13, No. 1, 55-78 (1972) · Zbl 0243.05024
[12] Mills, W. H.: On the covering of pairs by quadruples II.. J. combin. Theory 15, No. 2, 138-166 (1973) · Zbl 0261.05022
[13] Schönheim, J.: On maximal systems of k-tuples. Studia sci. Math. hungar., 363-368 (1966) · Zbl 0146.01403
[14] Schönheim, J.; Bialostocki, A.: Packing and covering of the complete graph with 4-cycles. Canad. math. Bull. 18, No. 5, 703-708 (1975) · Zbl 0322.05139
[15] Tarsi, M.: On the decomposition of a graph into stars. Discrete math. 36, 299-304 (1981) · Zbl 0467.05054
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