The Graceful Labeling of the Graph S(4m+1,4(t+1),4m－1) Based on the Balanced Labeling of the Path P<sub>8m+4t+2</sub>

WU Yuesheng

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The Graceful Labeling of the Graph S(4m+1,4(t+1),4m－1) Based on the Balanced Labeling of the Path P_8m+4t+2

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- The Graceful Labeling of the Graph S(4m+1,4(t+1),4m－1) Based on the Balanced Labeling of the Path P_8m+4t+2
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 54, Issue 5, (2015)
- 作者机构：
  
  华东交通大学理学院,江西,南昌,330013
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 September 2015，
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WU Yuesheng. The Graceful Labeling of the Graph S(4m+1,4(t+1),4m－1) Based on the Balanced Labeling of the Path P_8m+4t+2. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(5).(2015)
DOI：

WU Yuesheng. The Graceful Labeling of the Graph S(4m+1,4(t+1),4m－1) Based on the Balanced Labeling of the Path P_8m+4t+2. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(5).(2015) DOI：

摘要

给出了图S(4m+1

4(t+1)

4m－1)的定义；讨论了图S(4m+1

4(t+1)

4m－1)的优美性，证明了图S(4m+1

4(t+1)

4m－1)是优美图；给出了由路P

8m+4t+2

的交错标号构造图S(4m+1

4(t+1)

4m－1)的优美标号的四种算法。

Abstract

A definition of the graph S(4m+1

4(t+1)

4m－1) is given. The gracefulness of the graph S(4m+1

4(t+1)

4m－1) is discussed. It is proved that if m≥1

t≥0

the graph S(4m+1

4(t+1)

4m－1) is a graceful graph.Based on the alternating labeling of P

8m+4t+2

four algorithms of the graceful labeling of S(4m+1

4(t+1)

4m－1) are given.

关键词

优美图交错图优美标号交错标号路圈

Keywords

graceful graphalternating graphgraceful labelingalternating labelingpathcycle

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Related Institution

School of Mathematics and Statistics, Tianshui Normal University



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The Graceful Labeling of the Graph S(4m+1,4(t+1),4m－1) Based on the Balanced Labeling of the Path P8m+4t+2

DOI：

摘要

Abstract

关键词

Keywords

references

The Graceful Labeling of the Graph S(4m+1,4(t+1),4m－1) Based on the Balanced Labeling of the Path P_8m+4t+2