Perfectly weighted graphs

被引：2

作者：

Brenton, L ^{[1
]}

Jaje, L ^{[1
]}

机构：

[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

GRAPHS AND COMBINATORICS | 2001年 / 17卷 / 03期

关键词：

Fundamental Group; Complex Surface; Surface Singularity; Weighted Graph; Intersection Graph;

D O I：

10.1007/s003730170017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a classification of those graphs which arise as dual intersection graphs in the resolutions of complex surface singularities with perfect local fundamental group. Using computation intensive methods, we examine the possibilities for weights on the vertices corresponding to self-intersections of the exceptional curves.

引用

收藏

页码：389 / 407

页数：19

相关论文

共 19 条

[1] ON RECURSIVE SOLUTIONS OF A UNIT FRACTION EQUATION [J].

BRENTON, L ;

BRUNER, RR .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1994, 57 :341-356

[2] ON THE DIOPHANTINE EQUATION 1 = SIGMA-1/NI + 1/PI-NI AND A CLASS OF HOMOLOGICALLY TRIVIAL COMPLEX SURFACE SINGULARITIES [J].

BRENTON, L ;

HILL, R .

PACIFIC JOURNAL OF MATHEMATICS, 1988, 133 (01) :41-67

[3] PERFECT GRAPHS AND COMPLEX SURFACE SINGULARITIES WITH PERFECT LOCAL FUNDAMENTAL GROUP [J].

BRENTON, L ;

DRUCKER, D .

TOHOKU MATHEMATICAL JOURNAL, 1989, 41 (04) :507-525

[4] ON THE NUMBER OF SOLUTIONS OF SIGMA(J=1)(S) (1/X(J))+1/(X(1) ... X(S)) = 1 [J].

BRENTON, L ;

DRUCKER, D .

JOURNAL OF NUMBER THEORY, 1993, 44 (01) :25-29

[5]

BUTSKE W, IN PRESS MATH COMPUT

[6]

CAO ZF, 1987, J NUMBER THEORY, V27, P206, DOI 10.1016/0022-314X(87)90062-X

[7] GRAPHICAL EVALUATION OF SPARSE DETERMINANTS [J].

DRUCKER, D ;

GOLDSCHMIDT, DM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 77 (01) :35-39

[8] UBER MODIFIKATIONEN UND EXZEPTIONELLE ANALYTISCHE MENGEN [J].

GRAUERT, H .

MATHEMATISCHE ANNALEN, 1962, 146 (04) :331-368

[9] DETERMINANT OF ADJACENCY MATRIX OF A GRAPH [J].

HARARY, F .

SIAM REVIEW, 1962, 4 (03) :202-&

[10] RESOLUTION SINGULARITIES OF ALGEBRAIC VARIETY OVER FIELD OF CHARACTERISTIC ZERO .I. [J].

HIRONAKA, H .

ANNALS OF MATHEMATICS, 1964, 79 (01) :109-&