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A {\it Cameron -- Liebler line class} ${\cal L}$ with parameter $x$ is a set of lines of projective geometry $PG(3,q)$ such that each line of ${\cal L}$ meets exactly $x(q+1)+q^2-1$ lines of ${\cal L}$ and each line that is not from ${\cal L}$ meets exactly $x(q+1)$ lines of ${\cal L}$.
P.J. Cameron, R.A. Liebler, “Tactical decompositions and orbits of projective groups”, Linear Algebra Applied 46 46
1982
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A.E. Brouwer, A.M. Cohen, A. Neumaier, “Distance regular graphs”, Berlin, Springer-Verl. 1989
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T. Penttila, “Cameron – Liebler line classes in P G ( 3 , q ) PG(3,q) ”, Geometriae Dedicata 37 37
1991
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K. Drudge, “Extremal sets in projective and polar spaces”, University of Western Ontario, Ph.D. Thesis, 1998
1998
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K. Drudge, “On a conjecture of Cameron and Liebler”, European Journal of Combinatorics 20 ( 4 ) 20(4)
1999
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A.A. Bruen, K. Drudge, “The construction of Cameron – Liebler line classes in P G ( 3 , q ) PG(3,q) ”, Finite Fields Appl. 5 5
1999
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V.N. Sachkov, V.E. Tarakanov, “Combinatorics of nonnegative matrices”, AMS, 2002
2002
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P. Govaerts, T. Penttila, “Cameron–Liebler line classes in P G ( 3 , 4 ) PG(3,4) ”, Bull. Belg. Math. Soc. 12 12
2005
Cited alongside, same era.
J. Bamberg, “There is no Cameron – Liebler line class of P G ( 3 , 4 ) PG(3,4) with parameter 6”, URL: http://symomega.wordpress.com
Cited in the paper.
M. Rodgers, “Cameron – Liebler line classes”, Designs, Codes and Cryptography
2011
Later among the works it cites.
F. Vanhove, “Incidence geometry from an algebraic graph theory point of view”, University of Ghent, PhD Thesis, 2011
2011
Later among the works it cites.
A. Gavrilyuk, S. Goryainov, “On perfect 2-colorings of Johnson Graphs J ( v , 3 ) J(v,3) ”, Journal of Combinatorial Designs
2012
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