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1. 华北科技学院基础部,河北,三河,065201
2.
Published:2011,
Published Online:25 November 2011,
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Gracefulness of the Graphs Related to Wheel. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(6):16-19(2011)
DOI:
Gracefulness of the Graphs Related to Wheel. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(6):16-19(2011) DOI:
证明了对任意自然数n≥1
p≥1,当m=2p+3
2p+4时,非连通图W
m
∪K
n
p
和W
2m+1
是优美图;当i=1
2时,图W
2p+2+i
∪G
(i)
是优美图。当m≥3
n≥s时,W
∪St(n)是优美图;当m=2n+5时,图W
∪(C
3
∨K
)是优美图。
For any natural numbers n
p
which are not less than one
when m=2p+3 or 2p+4
the disconnected graphs W
and W
are graceful; when i=1 or 2
the graph W
is graceful. If
is greater than or equal to three
and n is greater than or equal to s
where s is a natural number
W
∪St(n) is graceful; in particular
if m=2n+5
) is graceful.
图优美图优美标号非连通图
graphsgraceful graphsgraceful labelingdisconnected graph
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