COLORING INVARIANTS OF SPATIAL GRAPHS

被引：4

作者：

Niebrzydowski, Maciej ^{[1
]}

机构：

[1] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2010年 / 19卷 / 06期

关键词：

Quandle; coloring; spatial graph; quandle cohomology; nonabelian cocycle; QUANDLE; KNOTS;

D O I：

10.1142/S0218216510008169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the fundamental quandle of a spatial graph and several invariants derived from it. In the category of graph tangles, we define an invariant based on the walks in the graph and cocycles from nonabelian quandle cohomology.

引用

页码：829 / 841

页数：13

共 15 条

[11] A CLASSIFYING INVARIANT OF KNOTS, THE KNOT QUANDLE [J].

JOYCE, D .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1982, 23 (01) :37-65

[12]

KAMADA S, 2007, INTELLIGENCE LOW DIM, P101

[13] INVARIANTS OF GRAPHS IN 3-SPACE [J].

KAUFFMAN, LH .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 311 (02) :697-710

[14] Coloring spatial graphs [J].

McAtee, J ;

Silver, DS ;

Williams, SG .

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2001, 10 (01) :109-120

[15] On colored quandle longitudes and its applications to tangle embeddings and virtual knots [J].

Niebrzydowski, Maciej .

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2006, 15 (08) :1049-1059

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