Perfect Folding of Graphs

1
e._m._el-kholy
e._m._el-kholy
2
E. M. El-Kholy
E. M. El-Kholy
3
H. Ahmed
H. Ahmed
1 Tanta University

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GJSFR Volume 21 Issue F1

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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.

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No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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e._m._el-kholy. 2021. \u201cPerfect Folding of Graphs\u201d. 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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v1.2

Issue date

February 12, 2021

Language

English

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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.

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Perfect Folding of Graphs

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

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