عبد الرحمن حميد مجيد محمود
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Abdulrahman H. Majeed
PhD
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professor
College of Science
,
Department of Mathematics
[email protected]
Publication Date
Sun Jul 31 2022
The generalized Cayley graph of complete graph K_n and complete multipartite graphs K_(n,n) and K_(n,n,n)
Cayley graph
complete graph
bipartite graph
3-partite graph
generalized Cayley graph
column matrix
Suppose that is a finite group and is a non-empty subset of such that and . Suppose that is the Cayley graph whose vertices are all elements of and two vertices and are adjacent if and only if . In this paper, we introduce the generalized Cayley graph denoted by that is a graph with vertex set consists of all column matrices which all components are in and two vertices and are adjacent if and only if , where is a column matrix that each entry is the inverse of similar entry of and is matrix with all entries in , is the transpose of and . In this paper, we clarify some basic properties of the new graph and assign the structure of when is complete graph , complete bipartite graph and complete
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