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P
n
3
is a Graceful Graph
Received:November 18, 2002
Key Words
:
graph P
n
3
graceful labelling
graceful graph
Fund Project
:
Author Name
Affiliation
YAN Qian-tai
Dept. of Math.
Anyang Teachers College
Henan
China
ZHANG Zhong-fu
Dept. of Computer
Lanzhou Teacher College
Gansu
China
Dept. of Math.
Northwest Normal University
Lanzhou
China
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:
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:
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Abstract
:
Let G(V,E) be a simple graph and G
k
be a k-power graph defined by V(G
k
) = V(G), E(G
k
) = E(G) ∪{uv|d(u,v) =k} for natural number k. In this paper, it is proved that P
n
3
is a graceful graph.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2004.02.011
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