Perfect Folding of Graphs
Global Journal of Science Frontier Research • 2021
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.
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.
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