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Ladder and Subdivision of Ladder Graphs with Pendant Edges are Odd Graceful

Authors: M. I. Moussa; E. M. Badr;

Ladder and Subdivision of Ladder Graphs with Pendant Edges are Odd Graceful

Abstract

The ladder graph plays an important role in many applications as Electronics, Electrical and Wireless communication areas. The aim of this work is to present a new class of odd graceful labeling for the ladder graph. In particular, we show that the ladder graph Ln with m-pendant Ln  mk1 is odd graceful. We also show that the subdivision of ladder graph Ln with m-pendant S(Ln)  mk1 is odd graceful. Finally, we prove that all the subdivision of triangular snakes ( k   snake ) with pendant edges 1 ( ) k S snake mk    are odd graceful.

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Keywords

FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), Graph Labelling, Odd Graceful Graphs, Ladder Graph, Cyclic Snakes, Pendant Edges., B.4.0, B.2.4, C.2.0

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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