OPTIMAL MIXED GRAPH AUGMENTATION

被引:16
作者
GUSFIELD, D
机构
[1] Univ of California, Davis, CA, USA, Univ of California, Davis, CA, USA
关键词
COMPUTER NETWORKS - Design - DATA PROCESSING - Security of Data;
D O I
10.1137/0216041
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we consider an augmentation problem on mixed graphs that generalizes and unifies two augmentation problems considered by K. P. Eswaran and R. E. Tarjan. The mixed augmentation problem has applications in the design of communication networks, and forms of the mixed augmentation problem are central in certain statistical data security problems. We solve the augmentation problem on mixed graphs in time linear in the number of edges of the graph.
引用
收藏
页码:599 / 612
页数:14
相关论文
共 9 条
[1]   ROBBINS THEOREM FOR MIXED MULTIGRAPHS [J].
BOESCH, F ;
TINDELL, R .
AMERICAN MATHEMATICAL MONTHLY, 1980, 87 (09) :716-719
[2]   STRONGLY CONNECTED ORIENTATIONS OF MIXED MULTIGRAPHS [J].
CHUNG, FRK ;
GAREY, MR ;
TARJAN, RE .
NETWORKS, 1985, 15 (04) :477-484
[3]  
Eswaran K. P., 1976, SIAM Journal on Computing, V5, P653, DOI 10.1137/0205044
[4]  
Ford L., 1962, FLOWS NETWORKS
[5]   APPROXIMATION ALGORITHMS FOR SEVERAL GRAPH AUGMENTATION PROBLEMS [J].
FREDERICKSON, GN ;
JAJA, J .
SIAM JOURNAL ON COMPUTING, 1981, 10 (02) :270-283
[6]  
GUSFIELD D, 1984, DCSTR236 YAL U DEP C
[7]   THE MINIMUM AUGMENTATION OF A DIRECTED TREE TO A K-EDGE-CONNECTED DIRECTED GRAPH [J].
KAJITANI, Y ;
UENO, S .
NETWORKS, 1986, 16 (02) :181-197
[8]  
KAO MY, 1986, THESIS YALE U NEW HA
[9]  
Ore O., 1963, GRAPHS THEIR USES