alexa Abstract | Folding of Cayley Graphs
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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The aim of this paper is to discuss the folding of Cayley graphs of finite group.We prove that, for any finite group G,|G|=n and H is a subgroup of G. Then Cayley graph Γ=Cay(G,S) of G with respect to S=H\{1G} can be folded into a complete graph K, where r=|H|. Hence every Cayley graph Γ=Cay(G,S) of valency n-1 can not be folded. Also every Cayley graph Γ=Cay(G,S) of valency one can be folded and Γ=Cay(G,S), where S is generating set, every elements in it is self inverse and | |= 1 | | 2 SG, can be folded to an edge. Theorems governing these types of foldings are achieved.

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Author(s): Zeen El-Deen MR


Cayley graph, Folding, Graph folding, Applied mathematic, Smooth Complexities, Adomian Decomposition Method, Applied Mathematics, Number Theory, Sensitivity Analysis, Convection Diffusion Equations, Numerical Solutions, Nonlinear Differential Equations, Differential Transform Method , Balance Law, Quasilinear Hyperbolic Systems, Mixed Initial-boundary Value, Fuzzy Boundary Value, Semi Analytical-Solution, Integrated Analysis, Fuzzy Environments, Molecular Modelling, Fuzzy Quasi-Metric Space, Three Dimensional Steady State, Computational Model

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