Subdegrees and suborbital graphs of symmetric group s n (n = 3, 4, 5) acting on unordered pai rs
Date
2015Author
Njagi, Loyford
Nzimbi, BN
Mwenda, Edwin
Type
ArticleLanguage
enMetadata
Show full item recordAbstract
In this research paper, we compute the ranks and subdegrees of the symmetric group
S
n
(n = 3,
4,
5) acting on unordered pairs from the set X =
When S
n
(n ≥ 4) acts
on unordered pairs from X, the rank is 3.Therefore the main study will be on the
subdegrees of the suborbitals.
The suborbital graphs corresponding to the suborbitals
of these actions are also constructed. The graph the
oretic properties of these
suborbital graphs are also discussed. When S
n
(n ≥ 4) acts on unordered pairs the
suborbital graphs
corresponding to the non
-
trivial suborbits
and
, are
connected, regular
complementary
.
URI
http://www.springjournals.net/full-articles/springjournals.netglobalarticlesindex=6njagietal.pdf?view=inlinehttp://hdl.handle.net/11295/96083
Citation
Global Educational Research Journal: Vol. 3(7): pp 333 - 345 , July, 2015.Rights
Attribution-NonCommercial-NoDerivs 3.0 United StatesUsage Rights
http://creativecommons.org/licenses/by-nc-nd/3.0/us/Collections
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