Combinatorial -trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces

被引：0

作者：

Fischer, Hanspeter ^{[1
]}

Zastrow, Andreas ^{[2
]}

机构：

[1] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA

[2] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland

来源：

GEOMETRIAE DEDICATA | 2013年 / 163卷 / 01期

关键词：

R-tree; Generalized Cayley graph; One-dimensional space;

D O I：

10.1007/s10711-012-9734-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In their study of fundamental groups of one-dimensional path-connected compact metric spaces, Cannon and Conner have asked: Is there a tree-like object that might be considered the topological Cayley graph? We answer this question in the positive and provide a combinatorial description of such an object.

引用

页码：19 / 43

页数：25

共 50 条

[21] THE HAMILTON SPACES OF CAYLEY-GRAPHS ON ABELIAN-GROUPS
ALSPACH, B
LOCKE, SC
WITTE, D
[J]. DISCRETE MATHEMATICS, 1990, 82 (02) : 113 - 126
[22] On distance-regular Cayley graphs of generalized dicyclic groups
Huang, Xueyi
Das, Kinkar Chandra
[J]. DISCRETE MATHEMATICS, 2022, 345 (10)
[23] Fundamental groups of spaces of generalized perfect splines
Koshcheev, V. A.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 266 : S155 - S161
[24] Fundamental groups of spaces of generalized perfect splines
V. A. Koshcheev
[J]. Proceedings of the Steklov Institute of Mathematics, 2009, 266 : 155 - 161
[25] Fundamental groups of spaces of generalized perfect splines
Koshcheev, V. A.
[J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2009, 15 (01): : 159 - 165
[26] ONE-DIMENSIONAL SEGMENT SPACES
SOETENS, ELN
[J]. BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE, 1972, 58 (11): : 1338 - 1344
[27] FLOWS ON ONE-DIMENSIONAL SPACES
AARTS, JM
MARTENS, M
[J]. FUNDAMENTA MATHEMATICAE, 1988, 131 (01) : 53 - 67
[28] Maximum generalized local connectivities of cubic Cayley graphs on Abelian groups
Sun, Yuefang
[J]. Journal of Combinatorial Mathematics and Combinatorial Computing, 2015, 94 : 227 - 236
[29] Integral and distance integral Cayley graphs over generalized dihedral groups
Jing Huang
Shuchao Li
[J]. Journal of Algebraic Combinatorics, 2021, 53 : 921 - 943
[30] On minimal distance-regular Cayley graphs of generalized dihedral groups
Miklavic, Stefko
Sparl, Primoz
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2020, 27 (04): : 1 - 16

← 1 2 3 4 5 →