Perfect Folding of Graphs

Article ID

Z790M

Perfect Folding of Graphs

E. M. El-Kholy
E. M. El-Kholy
H. Ahmed
H. Ahmed
DOI

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.

Perfect Folding of Graphs

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.

E. M. El-Kholy
E. M. El-Kholy
H. Ahmed
H. Ahmed

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e._m._el-kholy. 2021. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 21 (GJSFR Volume 21 Issue F1): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 05C17
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Perfect Folding of Graphs

E. M. El-Kholy
E. M. El-Kholy
H. Ahmed
H. Ahmed

Research Journals