AN O(N2) ALGORITHM FOR UNDIRECTED SPLIT DECOMPOSITION

被引:26
作者
MA, TH
SPINRAD, J
机构
[1] Department of Computer Science, Vanderbilt University, Nashville
关键词
D O I
10.1006/jagm.1994.1007
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The time complexity of the undirected split, or join, decomposition of a graph is reduced from Ω(n3) to O(n2). In a companion paper, this result is used to improve the time bound for recognizing circle graphs. © 1994 Academic Press, Inc.
引用
收藏
页码:145 / 160
页数:16
相关论文
共 15 条
[1]   DISTANCE-HEREDITARY GRAPHS [J].
BANDELT, HJ ;
MULDER, HM .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1986, 41 (02) :182-208
[2]   DIGRAPH DECOMPOSITIONS AND EULERIAN SYSTEMS [J].
BOUCHET, A .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1987, 8 (03) :323-337
[3]   REDUCING PRIME GRAPHS AND RECOGNIZING CIRCLE GRAPHS [J].
BOUCHET, A .
COMBINATORICA, 1987, 7 (03) :243-254
[4]   COMPLEMENT REDUCIBLE GRAPHS [J].
CORNEIL, DG ;
LERCHS, H ;
BURLINGHAM, LS .
DISCRETE APPLIED MATHEMATICS, 1981, 3 (03) :163-174
[5]   DECOMPOSITION OF DIRECTED-GRAPHS [J].
CUNNINGHAM, WH .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1982, 3 (02) :214-228
[6]   RECOGNIZING CIRCLE GRAPHS IN POLYNOMIAL-TIME [J].
GABOR, CP ;
SUPOWIT, KJ ;
HSU, WL .
JOURNAL OF THE ACM, 1989, 36 (03) :435-473
[7]  
Golumbic M. C., 1980, ALGORITHMIC GRAPH TH
[8]   COMPLETELY SEPARABLE GRAPHS [J].
HAMMER, PL ;
MAFFRAY, F .
DISCRETE APPLIED MATHEMATICS, 1990, 27 (1-2) :85-99
[9]  
HSU WL, UNPUB RECOGNITION IS
[10]  
Mohring R. H., 1985, Annals of Operations Research, V4, P195, DOI 10.1007/BF02022041