• SUBORBITAL GRAPHS AND THEIR PROPERTIES FOR UNORDERED PAIRS IN A_n (n=5,6,7,8) THROUGH RANK AND SUBDEGREE DETERMINATION

Kinyanjui J. N., Musundi S. W.*, Rimberia J., Mwenda E, Ruto P. K.

Abstract


In this paper, through computation of the rank and subdegrees of alternating group on unordered pairs we construct the suborbital graphs corresponding to the suborbits of these pairs. When acts on unordered pairs the suborbital graphs and corresponding to the non-trivial suborbits and are found to be connected, regular and have undirected edge. Further, we investigate properties of the suborbital graphs constructed.


Keywords


Rank, subdegrees, unordered pair of an alternating group, suborbital graphs.

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