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381057

On posets and independence spaces

Article

Last updated: 31 Dec 2024

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Abstract

By constructing a correspondence relationship between independence spaces and posets,
under isomorphism, this paper characterizes loopless independence spaces and applies this characterization
to reformulate certain results on independence spaces in poset frameworks. These state
that the idea provided in this paper is a new approach for the study of independence spaces. We
outline our future work finally.

DOI

10.1016/j.joems.2013.05.005

Keywords

Independence space, Independent set, Poset, Boolean lattice

Authors

First Name

Hua

Last Name

Mao

MiddleName

-

Affiliation

Department of Mathematics, Hebei University, Baoding 071002, China

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Volume

22

Article Issue

1

Related Issue

50468

Issue Date

2014-04-01

Receive Date

2024-09-22

Publish Date

2024-09-01

Page Start

1

Page End

5

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 1_Pages 1-5.pdf

PDF . 397.9kB

Link

https://joems.journals.ekb.eg/article_381057.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381057

Order

381,057

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On posets and independence spaces

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Article

Created At

21 Dec 2024