scholarly journals Ovoids of generalized quadrangles of order (q,q2−q) and Delsarte cocliques in related strongly regular graphs

2017 ◽  
Vol 26 (5) ◽  
pp. 249-263
Author(s):  
Mohammad Adm ◽  
Ryan Bergen ◽  
Ferdinand Ihringer ◽  
Sam Jaques ◽  
Karen Meagher ◽  
...  
Keyword(s):  
Strongly Regular Graphs ◽  
Regular Graphs ◽  
Generalized Quadrangles ◽  
Strongly Regular

scholarly journals Quantum Walks on Generalized Quadrangles

10.37236/5982 ◽  
2017 ◽  
Vol 24 (4) ◽  
Author(s):  
Chris Godsil ◽  
Krystal Guo ◽  
Tor G. J. Myklebust
Keyword(s):  
Transition Matrix ◽  
Quantum Walk ◽  
Quantum Walks ◽  
Strongly Regular Graphs ◽  
Regular Graphs ◽  
Generalized Quadrangles ◽  
Intersection Graphs ◽  
Strongly Regular

We study the transition matrix of a quantum walk on strongly regular graphs. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of $S^+(U^3)$, a matrix based on the amplitudes of walks in the quantum walk, distinguishes strongly regular graphs. We probabilistically compute the spectrum of the line intersection graphs of two non-isomorphic generalized quadrangles of order $(5^2,5)$ under this matrix and thus provide strongly regular counter-examples to the conjecture.

On extensions of small strongly regular graphs with eigenvalue 3

2015 ◽  
Vol 92 (1) ◽  
pp. 482-486
Author(s):  
A. A. Makhnev ◽  
D. V. Paduchikh
Keyword(s):  
Strongly Regular Graphs ◽  
Regular Graphs ◽  
Strongly Regular

On triple systems and strongly regular graphs

2012 ◽  
Vol 119 (7) ◽  
pp. 1414-1426 ◽  
Author(s):  
Majid Behbahani ◽  
Clement Lam ◽  
Patric R.J. Östergård
Keyword(s):  
Strongly Regular Graphs ◽  
Regular Graphs ◽  
Triple Systems ◽  
Strongly Regular

On the Extendability of Quasi-Strongly Regular Graphs with Diameter 2

2018 ◽  
Vol 34 (4) ◽  
pp. 711-726 ◽  
Author(s):  
Hermina Alajbegović ◽  
Almir Huskanović ◽  
Štefko Miklavič ◽  
Primož Šparl
Keyword(s):  
Strongly Regular Graphs ◽  
Regular Graphs ◽  
Strongly Regular
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