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Perfect Folding of Graphs

Global Journal of Science Frontier Research • 2021
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Publication Information
Authors E. M. El-Kholy; H. Ahmed
Keywords clique number, chromatic number, perfect graphs, graph folding.
Journal Global Journal of Science Frontier Research
Publisher Not Available
Volume 21
Issue 1
Pages Not Available
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
In this paper we introduced the definition of perfect folding of graphs and we proved
that cycle graphs of even number of edges can be perfectly folded while that of odd number of
edges can be perfectly folded to C3. Also we proved that wheel graphs of odd number of
vertices can be perfectly folded to C3. Finally we proved that if G is a graph of n vertices such
that 2 > clique number = chromatic number = k > n, then the graph can be perfectly folded to
a clique of order k.