Algorithm: as Construction of Cayley Graph which Embedded any Graph

Main Article Content

Nihad Abdel-Jalil

Abstract

C.Delorme gave a proposition of construction of vertex-transitive graph. For this there is a group G and a subgroup H, and a subset A of G. the graph [G,H,A]are constructed. The vertices of graph are the parts of G of the forms xH , their number is the index of H in G.


The adjacent of xH are xah where a ЄA when H is reduced to an neuter element of the group. Cayley graph is found and it is associated to group G and the part A .


If gЄG , then xHègxH is an automorphism Nihad M. [3] found that there exist an Extension which in (n-1) monomorphic , which contains any binary relation , then Cayley graph is vertex transitive so (n-1) – monomorphic. In this work it is found that an Algorithm as construction Cayley graph which embedded any binary relation, and this Extension perhaps is finite or infinite.

Downloads

Download data is not yet available.

Article Details

How to Cite
[1]
N. Abdel-Jalil, “Algorithm: as Construction of Cayley Graph which Embedded any Graph ”, JUBPAS, vol. 27, no. 5, pp. 316-319, Dec. 2019.
Section
Articles