Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A quasi-symmetric design (QSD) is a ( v , k , λ ) design with two intersection numbers x , y , where 0 ? x < y < k . The block graph of QSD is a strongly regular graph (SRG). It is known that there are SRGs which are not block graphs of QSDs.  derive necessary conditions on the parameters of a SRG to be feasible as the block graph of a QSD.  apply these conditions to rule out many infinite families of such SRGs. also show that the pseudo Latin square graph L 5 ( n ) , n ? 5 ; the Negative Latin square graphs N L e ( e 2 + 3 e ) and N L e ( e + 2 ) , with 2 ? e or their complements cannot be the block graph of a QSD.
['Rajendra M. Pawale', 'Mohan S. Shrikhande', 'Shubhada M. Nyayate']
I am writing a research paper on a idea Non-derivable strongly regular graphs from quasi-symmetric designs
[{"from": "human", "value": "I am writing a research paper on a idea Non-derivable strongly regular graphs from quasi-symmetric designs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A quasi-symmetric design (QSD) is a ( v , k , \u03bb ) design with two intersection numbers x , y , where 0 ? x < y < k . The block graph of QSD is a strongly regular graph (SRG). It is known that there are SRGs which are not block graphs of QSDs.  derive necessary conditions on the parameters of a SRG to be feasible as the block graph of a QSD.  apply these conditions to rule out many infinite families of such SRGs. also show that the pseudo Latin square graph L 5 ( n ) , n ? 5 ; the Negative Latin square graphs N L e ( e 2 + 3 e ) and N L e ( e + 2 ) , with 2 ? e or their complements cannot be the block graph of a QSD."}]