The lower bound for number of hexagons in strongly regular graphs with parameters $\lambda=1$ and $\mu=2$
The existence of $srg(99,14,1,2)$ has been a question of interest for several decades to the moment. In this paper, we consider the structural properties in general for the family of strongly regular graphs with parameters $\lambda =1$ and $\mu =2$. In particular, we establish the lower bound for th...
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| Format: | Article |
| Language: | English |
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EJAAM
2024-08-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
| Subjects: | |
| Online Access: | https://ejaam.org/articles/2024/10.62780-ejaam-2024-001.pdf |
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| Summary: | The existence of $srg(99,14,1,2)$ has been a question of interest for several decades to the moment. In this paper, we consider the structural properties in general for the family of strongly regular graphs with parameters $\lambda =1$ and $\mu =2$. In particular, we establish the lower bound for the number of hexagons, and by doing that, we show the connection between the existence of the aforementioned graph and the number of its hexagons. |
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| ISSN: | 2544-9990 |