Classification of rings with crosscap two class of graphs
| Autor: | T. Asir, K. Mano |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Conjecture
Applied Mathematics 0211 other engineering and technologies 021107 urban & regional planning 0102 computer and information sciences 02 engineering and technology Commutative ring 01 natural sciences Total graph Graph Combinatorics 010201 computation theory & mathematics Discrete Mathematics and Combinatorics Crosscap number Mathematics |
| Zdroj: | Discrete Applied Mathematics. 265:13-21 |
| ISSN: | 0166-218X |
| DOI: | 10.1016/j.dam.2019.03.026 |
| Popis: | In this paper, we consider the problem of classifying commutative rings according to the crosscap number of it’s associating graphs. In particular, we enumerate all isomorphism classes of commutative rings with identity whose zero-divisor graph and total graph have crosscap two respectively. This answers a case of a conjecture posed by Chiang-Hsieh in (2008) and Khashyarmanesh et al. in (2013). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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