Spherical Embeddings of Symmetric Association Schemes in 3-Dimensional Euclidean Space

被引：0

作者：

Eiichi Bannai

Da Zhao

机构：

[1] Shanghai Jiao Tong University,School of Mathematical Sciences

来源：

Graphs and Combinatorics | 2020年 / 36卷

关键词：

Association scheme; Spherical embedding; 3 dimensional Euclidean geometry; Regular polyhedron; Quasi-regular polyhedron; Primary 05E30; Secondary 52C99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We classify the symmetric association schemes with faithful spherical embedding in 3-dimensional Euclidean space. Our result is based on previous research on primitive association schemes with m1=3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m_1 = 3$$\end{document}.

引用

页码：245 / 250

页数：5

共 50 条

[1] Spherical Embeddings of Symmetric Association Schemes in 3-Dimensional Euclidean Space
Bannai, Eiichi
Zhao, Da
[J]. GRAPHS AND COMBINATORICS, 2020, 36 (02) : 245 - 250
[2] DIFFERENTIATION OF SPINORS IN 3-DIMENSIONAL EUCLIDEAN SPACE
DODDS, B
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1973, 6 (MAY): : 473 - 480
[3] Special Curves in 3-Dimensional Euclidean Space
Yuan Y.
Li J.
Liu H.-L.
[J]. Liu, Hui-Li (liuhl@mail.neu.edu.cn), 1669, Northeast University (38): : 1669 - 1672
[4] EMBEDDING OF RIEMANNIAN SURFACES IN 3-DIMENSIONAL EUCLIDEAN SPACE
RUEDY, R
[J]. COMMENTARII MATHEMATICI HELVETICI, 1968, 43 (04) : 417 - &
[5] EMBEDDINGS OF SURFACES IN EUCLIDEAN 3 SPACE
BURGESS, CE
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (05) : 795 - 818
[6] Spherical kinematics in 3-dimensional generalized space
Ata, Erhan
Savci, Umit Ziya
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (03)
[7] TWO-DIMENSIONAL MEASURE IN 3-DIMENSIONAL EUCLIDEAN-SPACE
TORALBALLA, LV
[J]. MATHEMATISCHE NACHRICHTEN, 1985, 120 : 295 - 302
[8] POLYNOMIAL TRANSLATION WEINGARTEN SURFACES IN 3-DIMENSIONAL EUCLIDEAN SPACE
Munteanu, M. I.
Nistor, A. I.
[J]. DIFFERENTIAL GEOMETRY, 2009, : 316 - 320
[9] EXTREMAL SMOOTH CURVES IN 3-DIMENSIONAL EUCLIDEAN-SPACE
BERESNEVICH, VV
BERNIK, VI
[J]. DOKLADY AKADEMII NAUK BELARUSI, 1994, 38 (03): : 9 - 12
[10] ALGEBRAIC FIELD DESCRIPTIONS IN 3-DIMENSIONAL EUCLIDEAN-SPACE
SALINGAROS, N
ILAMED, Y
[J]. FOUNDATIONS OF PHYSICS, 1984, 14 (08) : 777 - 797

← 1 2 3 4 5 →