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location Esfahan, Iran
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seen Jan 8 at 5:39

Mojtaba Jazaeri PhD student Department of Mathematics University of Isfahan


Nov
25
comment Paley graphs over $p^{2}$ vertices
I have faced some problems to construct cospectral non-isomorphic graph with $P(p^{2})$ from the thesis for large prime number $p$. would you please giving me some more explanation.
Nov
24
awarded  Citizen Patrol
Nov
24
awarded  Supporter
Nov
24
accepted Paley graphs over $p^{2}$ vertices
Nov
24
comment Paley graphs over $p^{2}$ vertices
I think that in the mentioned thesis it is proved that Paley graph and Dickson semifield graph are cospectral non-isomorphic graphs but the order of proper semifield, i.e. a finite semifield which is not a field, must be $p^{n}$, where $p$ is a prime number, $n$ is an integer greater than 2 and $p^{n}$ is greater than 8. Therefore i think that this result does not imply my result. Is it true?
Nov
24
asked Paley graphs over $p^{2}$ vertices
Feb
24
awarded  Scholar
Feb
24
accepted The number of specific structure
Feb
24
awarded  Editor
Feb
24
revised The number of specific structure
added 12 characters in body
Feb
23
revised The number of specific structure
edited tags
Feb
23
comment The number of specific structure
Thank you every one who answer to this question.
Feb
23
asked The number of specific structure
Feb
9
comment The number of non-isomorphic strongly regular graphs on n vertices
As we know, every strongly regular graph over prime number of vertices is a conference graph and Paley graph is a conference graph and the following sentence due to Willem H. HAEMERS: For v = 5, 9, 13 and 17, the Paley graph is the only one with the given parameters. If $v \geq 25$, other graphs with the same parameters exist. in the following paper: Matrices for graphs, designs and codes Why this sentence is true? if this sentence is true, then there are at least 2 non-isomorphic strongly regular graphs on prime number of vertices $p>25$.
Feb
6
awarded  Student
Feb
5
comment The number of non-isomorphic strongly regular graphs on n vertices
Thank you very much Professor Chris Godsil and professor Aaron Meyerowitz.
Feb
5
revised The number of non-isomorphic strongly regular graphs on n vertices
edited tags
Feb
5
comment The number of non-isomorphic strongly regular graphs on n vertices
Thank you for every one who answer to the question.
Feb
5
asked The number of non-isomorphic strongly regular graphs on n vertices