THE MAXIMAL NUMBER OF INDUCED R-PARTITE SUBGRAPHS

被引:13
作者
BOLLOBAS, B
EGAWA, Y
HARRIS, A
JIN, GP
机构
[1] UNIV CAMBRIDGE,DEPT PURE MATH & MATH STAT,CAMBRIDGE,ENGLAND
[2] SCI UNIV TOKYO,DEPT APPL MATH,TOKYO 162,JAPAN
[3] LONDON SCH ECON,DEPT OPERAT RES,LONDON,ENGLAND
关键词
D O I
10.1007/BF01787417
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we extend earlier results concerning the maximal number of induced complete r-partite graphs in a graph G of order n. In particular, we show that if t > 1 + log r, then the maximal number of induced K-r(t)'s is achieved in the case of the Turan graph T-r(n), and that this bound on t is essentially best possible.
引用
收藏
页码:1 / 19
页数:19
相关论文
共 9 条
[1]  
Beineke L.W., Harary F., The maximum number of strongly connected subtournaments, Canadian Mathematical Bulletin, 8, pp. 491-498, (1965)
[2]  
Bollobas B., Extremal Graph Theory, pp. xx-488, (1978)
[3]  
Bollobas B., Nara C., Tachibana S., The maximal number of induced complete bipartite subgroups, Discrete Math., 62, pp. 271-275, (1986)
[4]  
Brown J., Sidorenko A., The inducibility of complete bipartite graphs, Journal of Graph Theory, 18, pp. 629-645, (1994)
[5]  
Erdos P., On the number of complete subgraphs contained in certain graphs, Publ. Math. Inst. Hungar. Acad. Sci., 1, pp. 459-464, (1962)
[6]  
Exoo G., Dense packing of induced subgraphs, Ars Combinatoria, 22, pp. 5-10, (1986)
[7]  
Gyori E., Pach J., Simonovits M., On the maximal number of certain subgraphs in K<sub>r</sub>-free graphs, Graphs and Combinatorics, 7, pp. 31-37, (1991)
[8]  
Moon J.W., Moser L., On cliques in graphs, Israel J. Math., 3, pp. 23-28, (1965)
[9]  
Pippenger N., Golumbic M., The inducibility of graphs, J. Comb. Theory, Ser. B, 19, pp. 189-203, (1975)