Class dimension of association schemes in singular linear spaces-Reference-Cited by-同舟云学术

Class dimension of association schemes in singular linear spaces

Published:2017-02 Issue:01 Volume:09 Page:1750005
ISSN:1793-8309
Container-title:Discrete Mathematics, Algorithms and Applications
language:en
Short-container-title:Discrete Math. Algorithm. Appl.

Author:

Guo Haixia¹,Gao You²

Affiliation:

1. College of Science, Tianjin University of Technology and Education, Tianjin 300222, P. R. China

2. College of Science, Civil Aviation University of China, Tianjin 300300, P. R. China

Abstract

A resolving set for an association scheme [Formula: see text] is a set of points [Formula: see text] such that, for all [Formula: see text], the ordered list of relations [Formula: see text] uniquely determines [Formula: see text], where [Formula: see text] denotes the relation [Formula: see text] containing the pair [Formula: see text] in [Formula: see text]. In this paper, we determine upper bounds on class dimension for a family of association schemes in singular linear spaces, and construct their resolving sets for a special case.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793830917500057

Reference9 articles.

1. Base size, metric dimension and other invariants of groups and graphs

2. Partitions of finite vector spaces: An application of the frobenius number in geometry

3. Association schemes based on singular linear spaces and its applications

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