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- W3111422041 abstract "Quasi-strongly regular graphs are a combinatorial generalization of strongly regular graphs. A quasi-strongly regular graph of grade 2 with parameters (n,k,a;c1,c2) is a k-regular graph on n vertices such that any two adjacent vertices have a common neighbours, any two non-adjacent vertices have c1 or c2 common neighbours, and for each ci (i=1,2), there exists a pair of non-adjacent vertices sharing ci common neighbours. If a quasi-strongly regular graph of grade 2 is neither a strongly regular graph nor a Deza graph, then it is called a strictly quasi-strongly regular graph. In this paper, we characterize strictly quasi-strongly regular graphs with parameters satisfying c1=k−1." @default.
- W3111422041 created "2020-12-21" @default.
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- W3111422041 date "2021-03-01" @default.
- W3111422041 modified "2023-10-18" @default.
- W3111422041 title "On quasi-strongly regular graphs with parameters <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e60 altimg=si11.svg><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi><mml:mo>;</mml:mo><mml:mi>k</mml:mi><mml:mo linebreak=goodbreak linebreakstyle=after>−</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:…" @default.
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- W3111422041 doi "https://doi.org/10.1016/j.disc.2020.112237" @default.
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