cycle permutation
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2020 ◽  
Vol 19 ◽  

In this paper it is determined when the line graphs and the middle graphs of some classes of graphs are divisor graphs. Complete characterizations for cycles, trees, complete graphs and complete multipartite graphs whose line graphs (middle graphs) are divisor graphs are obtained. It is also shown that the line graphs and the middle graphs of the cycle permutation graphs are never divisor graphs.



2018 ◽  
Vol 11 (02) ◽  
pp. 1850020
Author(s):  
Yogesh Kumar ◽  
P. R. Mishra ◽  
R. K. Sharma
Keyword(s):  

In this paper, we explore the existence and nonlinearity of affine [Formula: see text]-cycle permutations on [Formula: see text] for different values of [Formula: see text] and [Formula: see text]. It is proved that a transposition [Formula: see text] on [Formula: see text] has nonlinearity [Formula: see text] for [Formula: see text], a [Formula: see text]-cycle permutation on [Formula: see text] has nonlinearity [Formula: see text] for [Formula: see text], [Formula: see text] a prime. The number of affine [Formula: see text]-cycle permutations on [Formula: see text] and a bound for their nonlinearity have been obtained. Some results on the cyclic decomposition of a permutation on [Formula: see text], [Formula: see text] a prime, have also been proved.





2001 ◽  
Vol 51 (2) ◽  
pp. 239-260
Author(s):  
Chao Chong-Yun ◽  
Shaocen Han


1999 ◽  
Vol 15 (3) ◽  
pp. 327-336 ◽  
Author(s):  
Hye Kyung Kim ◽  
Jin Hwan Kim ◽  
Daekeun Lim


1992 ◽  
Vol 105 (1-3) ◽  
pp. 131-142 ◽  
Author(s):  
Jin Ho Kwak ◽  
Jaeun Lee


1988 ◽  
Vol 4 (1) ◽  
pp. 75-85 ◽  
Author(s):  
Sam Stueckle




1984 ◽  
Vol 51 (3) ◽  
pp. 265-275 ◽  
Author(s):  
R.D. Ringeisen


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