MAXIMUM (G, F)-FACTORS OF A GENERAL GRAPH

被引:3
作者
CHEN, WYC
机构
[1] Department of Mathematics, Massachusetts Institute of Technology, Cambridge
关键词
D O I
10.1016/0012-365X(91)90158-X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper presents a characterization of maximum (g, f)-factors of a general graph in which multiple edges and loops are allowed. An analogous characterization of the minimum (g, f)-factors of a general graph is also presented. In addition, we obtain a transformation theorem for any two general graphs on the same vertex set. As special cases, we have the transformation theorems for both maximum (g, f)-factors and minimum (g, f)-factors. Our results generalize some of C. Berge's results on maximum matchings and maximum c-matchings of a multiple graph.
引用
收藏
页码:1 / 7
页数:7
相关论文
共 8 条
[1]   FACTORS AND FACTORIZATIONS OF GRAPHS - A SURVEY [J].
AKIYAMA, J ;
KANO, M .
JOURNAL OF GRAPH THEORY, 1985, 9 (01) :1-42
[2]  
BERGE C, 1958, CR HEBD ACAD SCI, V247, P258
[4]  
BERGE C, 1972, GRAPH THEORY COMPUTI, P1
[5]  
Berge C., 1973, GRAPHS HYPERGRAPHS
[6]   ALTERNATING EULERIAN TRAILS WITH PRESCRIBED DEGREES IN 2 EDGE-COLORED COMPLETE GRAPHS [J].
DAS, P ;
RAO, SB .
DISCRETE MATHEMATICS, 1983, 43 (01) :9-20
[7]  
KOTZIG A, 1968, CASOPIS PEST MAT, V18, P76
[8]  
Lovasz Laszlo, 1970, J COMBIN THEORY B, P391