论文成果
The Graphs C(13)(t) are Graceful for t equivalent to 0, 3 (mod 4)
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- 论文类型:期刊论文
- 发表时间:2009-01-01
- 发表刊物:ARS COMBINATORIA
- 收录刊物:SCIE
- 文献类型:J
- 卷号:90
- 页面范围:25-32
- ISSN号:0381-7032
- 关键字:graceful graph; vertex labeling; edge labeling
- 摘要:Let C(n) denote the cycle with n vertices, and C(n)((t)) denote the graphs consisting of t copies of C(n) with a vertex in common. Koh et al. conjectured that C(n)((t)) is graceful if and only if nt = 0, 3 (mod 4). The conjecture has been shown true for n = 3, 5, 6, 7, 9, 11, 4k. In this paper, the conjecture is shown to be true for n = 13.